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Does he really care about teaching an average student how to do proper math?\",\"course_id\":\"MATH 551\",\"date\":\"2022-05-15 13:21:27 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"816982113b7bac61e4b8b595\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM2MzQyNTI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"Professor Gan just... didn't seem to have a plan. Although he followed the textbook, there were certain parts he would skip. His proofs in class were identical to the ones in the book. His lectures were nothing special. Just utter meh. If you ask him questions outside of the scope of the course, he doesn't know unless it's analysis related\",\"course_id\":\"MATH 551\",\"date\":\"2025-12-18 06:10:21 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c13f2560b3021a09c82ce2f5\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTQyMzI1OTE4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"}],\"evidence_count\":12,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"7bfd31ba7559c57cc6ca85b8\",\"0fa201ff19809677b30e2af8\",\"5957f1fb1ee3adcee931829c\",\"0ca152bb36b933496a8e25ff\",\"999ca8cac38614be53e44151\",\"0ad7e4e55bce3ceec4e49601\",\"a402a40433e39b2314b9d3d3\",\"816982113b7bac61e4b8b595\",\"c13f2560b3021a09c82ce2f5\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1029779\",\"name\":\"Sean Paul\"},{\"id\":\"rmp:1079222\",\"name\":\"Mustafa Kalafat\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2306774\",\"name\":\"Noah Schweber\"},{\"id\":\"rmp:2933442\",\"name\":\"Shengwen Gan\"},{\"id\":\"rmp:310368\",\"name\":\"Yong-Geun Oh\"},{\"id\":\"rmp:791230\",\"name\":\"Xiuxiong Chen\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"mixed\",\"summary\":\"Instructor clarity varies drastically. Some professors are praised for intuitive explanations, visual aids, and thoroughness, while others are criticized for disorganized lectures, skipping material, and poor handwriting.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"THE GOOD NEWS: He explains everything thoroughly, in a way that is easy to understand. I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"extremely difficult final, you finish what you can do in half of the time and then just  looking at the paper, helpless\",\"course_id\":\"MATH 551\",\"date\":\"2016-01-19 23:18:02 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"88884f78013e183806cb755c\",\"instructor_id\":\"rmp:2099588\",\"instructor_name\":\"Lu Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI1OTY2ODc0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\"},{\"comment\":\"Hoping his performance in high-level math course would be different from Calculus. Never mind. He can make good intuition for the material at the beginning and then go nonstop. Writing on the board faster than me writing with pen. Homework can be returned after 2 weeks of turning in and solutions for all not written until 3 days before the exam.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:41:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"999ca8cac38614be53e44151\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2NTU5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"Noah never stops during a lecture. He thought everyone was following just fine so he never ask us if we need any clarification. Many proofs in class was not complete and always "leave as an exercise". No in-class explanations on the questions from the midterm. Solutions to the homework after the midterm were never given. Office hr cancelled often.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:59:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"0ad7e4e55bce3ceec4e49601\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2Njk2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"He is a good lecturer and does his best to explain the concepts clearly using lots of pictures. However, the course is graded by 30% midterm and 40% final and the rest is homework. If you don't do well on the midterm, then you will be probably get C or D since there is hardly a good curve. It's challenging to get a good grade. Overall average\",\"course_id\":\"MATH 551\",\"date\":\"2022-01-04 18:16:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"72a33fff3efaf9e74e6a0b63\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM1Njk3ODkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"No comment! He's a tough grader and makes you feel depressed in class. \\nHe doesn't like giving extra credits and generally have very high expectations in exams. \\nHe has his own way of writing a proof, so if he miss something, you will lose tons of points. \\nNot a good professor at all.\",\"course_id\":\"MATH 551\",\"date\":\"2023-03-30 00:56:55 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"5e8411e801d4dbed14b521ac\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM3NTU3NzE0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"Great guy. He explains the content really well and is low key hilarious. Be prepared to do a fair amount of homework.\",\"course_id\":\"MATH 551\",\"date\":\"2025-03-26 12:37:30 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c6568c3b92420afca797a883\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"}],\"evidence_count\":9,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"88884f78013e183806cb755c\",\"999ca8cac38614be53e44151\",\"0ad7e4e55bce3ceec4e49601\",\"72a33fff3efaf9e74e6a0b63\",\"5e8411e801d4dbed14b521ac\",\"c6568c3b92420afca797a883\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1408142\",\"name\":\"Laurentiu Maxim\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2099588\",\"name\":\"Lu Wang\"},{\"id\":\"rmp:2306774\",\"name\":\"Noah Schweber\"},{\"id\":\"rmp:2634041\",\"name\":\"Alex Waldron\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"negative\",\"summary\":\"The course is consistently described as having a heavy workload, with many students reporting long hours on homework and difficult exams. Some students note that the difficulty is manageable with effort, but the volume of work is high.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Prof Wang is an expert in topology, and his 551 course is pretty reasonable. He gave only one midterm and a final, but the problems were a decent mix of old homework problems and new challenge problems. He can be pretty helpful in office hours, and it seems like he is primarily interested in the success of his students.\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-04 15:49:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"64f7d8826338709dcb909d82\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI5MDM1Mzgx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"He is a good lecturer and does his best to explain the concepts clearly using lots of pictures. However, the course is graded by 30% midterm and 40% final and the rest is homework. If you don't do well on the midterm, then you will be probably get C or D since there is hardly a good curve. It's challenging to get a good grade. Overall average\",\"course_id\":\"MATH 551\",\"date\":\"2022-01-04 18:16:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"72a33fff3efaf9e74e6a0b63\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM1Njk3ODkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"No comment! He's a tough grader and makes you feel depressed in class. \\nHe doesn't like giving extra credits and generally have very high expectations in exams. \\nHe has his own way of writing a proof, so if he miss something, you will lose tons of points. \\nNot a good professor at all.\",\"course_id\":\"MATH 551\",\"date\":\"2023-03-30 00:56:55 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"5e8411e801d4dbed14b521ac\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM3NTU3NzE0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"Topology's not an easy subject, but he teaches it well and his lectures are helpful since he offers plenty of intuitive examples and doesn't mind taking time to answer questions. The only annoying thing about this course was that he never provides HW or exam solutions, which kind of suggests a lack of effort.\",\"course_id\":\"MATH 551\",\"date\":\"2024-04-25 13:50:13 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b73ae5b6125c7cb0ed3bd9bb\",\"instructor_id\":\"rmp:2216023\",\"instructor_name\":\"Autumn Kent\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU2NDUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2216023\"},{\"comment\":\"Paige is a great professor for MATH 551. She explains difficult topology concepts clearly, keeps lectures organized, and genuinely cares about her students. Homework is fair and prepares you well for quizzes and exams, which are very manageable if you stay on top of the material. Definitely recommend taking 551 with her.\",\"course_id\":\"MATH 551\",\"date\":\"2026-08-05 07:02:06 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"8dabdd87a55066a106d40b2d\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMzQ2Njc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"}],\"evidence_count\":7,\"review_ids\":[\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"64f7d8826338709dcb909d82\",\"72a33fff3efaf9e74e6a0b63\",\"5e8411e801d4dbed14b521ac\",\"b73ae5b6125c7cb0ed3bd9bb\",\"8dabdd87a55066a106d40b2d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1408142\",\"name\":\"Laurentiu Maxim\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:2216023\",\"name\":\"Autumn Kent\"},{\"id\":\"rmp:2279567\",\"name\":\"Botong Wang\"},{\"id\":\"rmp:3142126\",\"name\":\"Paige Hillen\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2013\"},\"sentiment\":\"mixed\",\"summary\":\"Assessment varies by instructor. Some use take-home exams, others use traditional tests. Grading is often tough, with unfair curves reported. Solutions are not always provided.\"},{\"aspect\":\"overall\",\"evidence\":[{\"comment\":\"THE GOOD NEWS: He explains everything thoroughly, in a way that is easy to understand. I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Prof Wang is an expert in topology, and his 551 course is pretty reasonable. He gave only one midterm and a final, but the problems were a decent mix of old homework problems and new challenge problems. He can be pretty helpful in office hours, and it seems like he is primarily interested in the success of his students.\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-04 15:49:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"64f7d8826338709dcb909d82\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI5MDM1Mzgx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"She is really nice to students and helpful. Lectures are well organized, and proofs flow fluently. She gives motivations and time for students to actually think about the theorems. Will definitely take classes with her again!\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-15 22:33:48 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"26782041ad4049025824cec4\",\"instructor_id\":\"rmp:2099588\",\"instructor_name\":\"Lu Wang\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI5MjI4NDc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\"},{\"comment\":\"Topology is very difficult to understand on your own but Botong is the man and did a very good job explaining things--lectures were recorded, and he shared his lecture notes--which was super helpful so that I could just concentrate on understanding the content which is very nuanced. Exams were very fair. Homework was tricky but very manageable.\",\"course_id\":\"MATH 551\",\"date\":\"2021-01-12 07:51:10 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0b2c00e4981c0bb22734d12c\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM0MjY1Njgw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"Topology's not an easy subject, but he teaches it well and his lectures are helpful since he offers plenty of intuitive examples and doesn't mind taking time to answer questions. The only annoying thing about this course was that he never provides HW or exam solutions, which kind of suggests a lack of effort.\",\"course_id\":\"MATH 551\",\"date\":\"2024-04-25 13:50:13 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b73ae5b6125c7cb0ed3bd9bb\",\"instructor_id\":\"rmp:2216023\",\"instructor_name\":\"Autumn Kent\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU2NDUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2216023\"},{\"comment\":\"This site is a little too harsh. He explains things in a clear and concise manner and is quite helpful in office hours. However, he can come off as rude when answering questions.\",\"course_id\":\"MATH 551\",\"date\":\"2025-02-24 21:30:31 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"5de9c6704102480942ad3e55\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwNzAzNTEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"},{\"comment\":\"Great guy. He explains the content really well and is low key hilarious. Be prepared to do a fair amount of homework.\",\"course_id\":\"MATH 551\",\"date\":\"2025-03-26 12:37:30 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c6568c3b92420afca797a883\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"},{\"comment\":\"Prof Loving was extremely friendly and welcoming.  She was also a good lecturer, with extraordinarily nice handwriting and illustrative skills.\",\"course_id\":\"MATH 551\",\"date\":\"2026-01-20 19:34:00 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"1a9e872592a71b36d2a57d3b\",\"instructor_id\":\"rmp:2900916\",\"instructor_name\":\"Marissa Loving\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTI0Njc5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2900916\"},{\"comment\":\"She's a great lecturer and very caring. The only gripe is that the homeworks/tests were pretty easy, so I feel like I didn't learn as much as I would of otherwise\",\"course_id\":\"MATH 551\",\"date\":\"2026-04-30 21:19:21 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"338571a494577645336f68bb\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyOTg3ODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"},{\"comment\":\"Wonderful professor! \",\"course_id\":\"MATH 551\",\"date\":\"2026-06-01 05:58:30 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"705b8b935ecccbbae37511e7\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMjEzMzUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"},{\"comment\":\"Paige is a great professor for MATH 551. She explains difficult topology concepts clearly, keeps lectures organized, and genuinely cares about her students. Homework is fair and prepares you well for quizzes and exams, which are very manageable if you stay on top of the material. Definitely recommend taking 551 with her.\",\"course_id\":\"MATH 551\",\"date\":\"2026-08-05 07:02:06 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"8dabdd87a55066a106d40b2d\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMzQ2Njc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"}],\"evidence_count\":13,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"64f7d8826338709dcb909d82\",\"26782041ad4049025824cec4\",\"0b2c00e4981c0bb22734d12c\",\"b73ae5b6125c7cb0ed3bd9bb\",\"5de9c6704102480942ad3e55\",\"c6568c3b92420afca797a883\",\"1a9e872592a71b36d2a57d3b\",\"338571a494577645336f68bb\",\"705b8b935ecccbbae37511e7\",\"8dabdd87a55066a106d40b2d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2099588\",\"name\":\"Lu Wang\"},{\"id\":\"rmp:2216023\",\"name\":\"Autumn Kent\"},{\"id\":\"rmp:2279567\",\"name\":\"Botong Wang\"},{\"id\":\"rmp:2634041\",\"name\":\"Alex Waldron\"},{\"id\":\"rmp:2900916\",\"name\":\"Marissa Loving\"},{\"id\":\"rmp:3142126\",\"name\":\"Paige Hillen\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2007\"},\"sentiment\":\"mixed\",\"summary\":\"Satisfaction depends on the instructor. Engaging, supportive professors receive high praise, while disorganized or harsh ones are criticized. 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I like him, he's a nice, jolly guy, but he is a poor teacher.\",\"course_id\":\"MATH 551\",\"date\":\"2008-05-19 17:00:58 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"0fa201ff19809677b30e2af8\",\"instructor_id\":\"rmp:791230\",\"instructor_name\":\"Xiuxiong Chen\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE0NDk0NzIw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/791230\"},{\"comment\":\"while a nice guy, his classes are extremely painful to sit through. he will often make mistakes, and not cover material but still expect you to know it. people eventually stop coming to class. his tests are okay.\",\"course_id\":\"MATH 551\",\"date\":\"2011-06-19 22:51:55 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"5957f1fb1ee3adcee931829c\",\"instructor_id\":\"rmp:310368\",\"instructor_name\":\"Yong-Geun Oh\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE4NzQ2NTcw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/310368\"},{\"comment\":\"worst professor ever among all math courses I have taken. Math teachers are supposed to be logically strict about every definition, thm and steps of proof. He is maybe the only math teacher who skips all accuracy\",\"course_id\":\"MATH 551\",\"date\":\"2014-02-23 23:47:11 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"0ca152bb36b933496a8e25ff\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTIyODYxODEy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"Hoping his performance in high-level math course would be different from Calculus. Never mind. He can make good intuition for the material at the beginning and then go nonstop. Writing on the board faster than me writing with pen. Homework can be returned after 2 weeks of turning in and solutions for all not written until 3 days before the exam.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:41:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"999ca8cac38614be53e44151\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2NTU5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"Noah never stops during a lecture. He thought everyone was following just fine so he never ask us if we need any clarification. Many proofs in class was not complete and always "leave as an exercise". No in-class explanations on the questions from the midterm. Solutions to the homework after the midterm were never given. Office hr cancelled often.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:59:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"0ad7e4e55bce3ceec4e49601\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2Njk2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"What is he talking about in each lecture? It is impossible for you to learn anything with his scribbled handwriting and scarce examples!\",\"course_id\":\"MATH 551\",\"date\":\"2022-05-05 20:08:43 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"a402a40433e39b2314b9d3d3\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM2MjU1OTg4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"On the surface this dude seems nice and well-mannered, in reality he is also extremely intelligent and holds a deep love for mathematics. But I only have two questions: will he have one moment of sincerity? Does he really care about teaching an average student how to do proper math?\",\"course_id\":\"MATH 551\",\"date\":\"2022-05-15 13:21:27 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"816982113b7bac61e4b8b595\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM2MzQyNTI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"Professor Gan just... didn't seem to have a plan. Although he followed the textbook, there were certain parts he would skip. His proofs in class were identical to the ones in the book. His lectures were nothing special. Just utter meh. If you ask him questions outside of the scope of the course, he doesn't know unless it's analysis related\",\"course_id\":\"MATH 551\",\"date\":\"2025-12-18 06:10:21 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c13f2560b3021a09c82ce2f5\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTQyMzI1OTE4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"}],\"evidence_count\":12,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"7bfd31ba7559c57cc6ca85b8\",\"0fa201ff19809677b30e2af8\",\"5957f1fb1ee3adcee931829c\",\"0ca152bb36b933496a8e25ff\",\"999ca8cac38614be53e44151\",\"0ad7e4e55bce3ceec4e49601\",\"a402a40433e39b2314b9d3d3\",\"816982113b7bac61e4b8b595\",\"c13f2560b3021a09c82ce2f5\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1029779\",\"name\":\"Sean Paul\"},{\"id\":\"rmp:1079222\",\"name\":\"Mustafa Kalafat\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2306774\",\"name\":\"Noah Schweber\"},{\"id\":\"rmp:2933442\",\"name\":\"Shengwen Gan\"},{\"id\":\"rmp:310368\",\"name\":\"Yong-Geun Oh\"},{\"id\":\"rmp:791230\",\"name\":\"Xiuxiong Chen\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"mixed\",\"summary\":\"Instructor clarity varies drastically. Some professors are praised for intuitive explanations, visual aids, and thoroughness, while others are criticized for disorganized lectures, skipping material, and poor handwriting.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"THE GOOD NEWS: He explains everything thoroughly, in a way that is easy to understand. I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"extremely difficult final, you finish what you can do in half of the time and then just  looking at the paper, helpless\",\"course_id\":\"MATH 551\",\"date\":\"2016-01-19 23:18:02 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"88884f78013e183806cb755c\",\"instructor_id\":\"rmp:2099588\",\"instructor_name\":\"Lu Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI1OTY2ODc0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\"},{\"comment\":\"Hoping his performance in high-level math course would be different from Calculus. Never mind. He can make good intuition for the material at the beginning and then go nonstop. Writing on the board faster than me writing with pen. Homework can be returned after 2 weeks of turning in and solutions for all not written until 3 days before the exam.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:41:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"999ca8cac38614be53e44151\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2NTU5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"Noah never stops during a lecture. He thought everyone was following just fine so he never ask us if we need any clarification. Many proofs in class was not complete and always "leave as an exercise". No in-class explanations on the questions from the midterm. Solutions to the homework after the midterm were never given. Office hr cancelled often.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:59:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"0ad7e4e55bce3ceec4e49601\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2Njk2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"He is a good lecturer and does his best to explain the concepts clearly using lots of pictures. However, the course is graded by 30% midterm and 40% final and the rest is homework. If you don't do well on the midterm, then you will be probably get C or D since there is hardly a good curve. It's challenging to get a good grade. Overall average\",\"course_id\":\"MATH 551\",\"date\":\"2022-01-04 18:16:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"72a33fff3efaf9e74e6a0b63\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM1Njk3ODkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"No comment! He's a tough grader and makes you feel depressed in class. \\nHe doesn't like giving extra credits and generally have very high expectations in exams. \\nHe has his own way of writing a proof, so if he miss something, you will lose tons of points. \\nNot a good professor at all.\",\"course_id\":\"MATH 551\",\"date\":\"2023-03-30 00:56:55 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"5e8411e801d4dbed14b521ac\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM3NTU3NzE0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"Great guy. He explains the content really well and is low key hilarious. Be prepared to do a fair amount of homework.\",\"course_id\":\"MATH 551\",\"date\":\"2025-03-26 12:37:30 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c6568c3b92420afca797a883\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"}],\"evidence_count\":9,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"88884f78013e183806cb755c\",\"999ca8cac38614be53e44151\",\"0ad7e4e55bce3ceec4e49601\",\"72a33fff3efaf9e74e6a0b63\",\"5e8411e801d4dbed14b521ac\",\"c6568c3b92420afca797a883\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1408142\",\"name\":\"Laurentiu Maxim\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2099588\",\"name\":\"Lu Wang\"},{\"id\":\"rmp:2306774\",\"name\":\"Noah Schweber\"},{\"id\":\"rmp:2634041\",\"name\":\"Alex Waldron\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"negative\",\"summary\":\"The course is consistently described as having a heavy workload, with many students reporting long hours on homework and difficult exams. Some students note that the difficulty is manageable with effort, but the volume of work is high.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Prof Wang is an expert in topology, and his 551 course is pretty reasonable. He gave only one midterm and a final, but the problems were a decent mix of old homework problems and new challenge problems. He can be pretty helpful in office hours, and it seems like he is primarily interested in the success of his students.\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-04 15:49:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"64f7d8826338709dcb909d82\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI5MDM1Mzgx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"He is a good lecturer and does his best to explain the concepts clearly using lots of pictures. However, the course is graded by 30% midterm and 40% final and the rest is homework. If you don't do well on the midterm, then you will be probably get C or D since there is hardly a good curve. It's challenging to get a good grade. Overall average\",\"course_id\":\"MATH 551\",\"date\":\"2022-01-04 18:16:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"72a33fff3efaf9e74e6a0b63\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM1Njk3ODkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"No comment! He's a tough grader and makes you feel depressed in class. \\nHe doesn't like giving extra credits and generally have very high expectations in exams. \\nHe has his own way of writing a proof, so if he miss something, you will lose tons of points. \\nNot a good professor at all.\",\"course_id\":\"MATH 551\",\"date\":\"2023-03-30 00:56:55 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"5e8411e801d4dbed14b521ac\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM3NTU3NzE0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"Topology's not an easy subject, but he teaches it well and his lectures are helpful since he offers plenty of intuitive examples and doesn't mind taking time to answer questions. The only annoying thing about this course was that he never provides HW or exam solutions, which kind of suggests a lack of effort.\",\"course_id\":\"MATH 551\",\"date\":\"2024-04-25 13:50:13 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b73ae5b6125c7cb0ed3bd9bb\",\"instructor_id\":\"rmp:2216023\",\"instructor_name\":\"Autumn Kent\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU2NDUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2216023\"},{\"comment\":\"Paige is a great professor for MATH 551. She explains difficult topology concepts clearly, keeps lectures organized, and genuinely cares about her students. Homework is fair and prepares you well for quizzes and exams, which are very manageable if you stay on top of the material. Definitely recommend taking 551 with her.\",\"course_id\":\"MATH 551\",\"date\":\"2026-08-05 07:02:06 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"8dabdd87a55066a106d40b2d\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMzQ2Njc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"}],\"evidence_count\":7,\"review_ids\":[\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"64f7d8826338709dcb909d82\",\"72a33fff3efaf9e74e6a0b63\",\"5e8411e801d4dbed14b521ac\",\"b73ae5b6125c7cb0ed3bd9bb\",\"8dabdd87a55066a106d40b2d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1408142\",\"name\":\"Laurentiu Maxim\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:2216023\",\"name\":\"Autumn Kent\"},{\"id\":\"rmp:2279567\",\"name\":\"Botong Wang\"},{\"id\":\"rmp:3142126\",\"name\":\"Paige Hillen\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2013\"},\"sentiment\":\"mixed\",\"summary\":\"Assessment varies by instructor. Some use take-home exams, others use traditional tests. Grading is often tough, with unfair curves reported. Solutions are not always provided.\"},{\"aspect\":\"overall\",\"evidence\":[{\"comment\":\"THE GOOD NEWS: He explains everything thoroughly, in a way that is easy to understand. I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Prof Wang is an expert in topology, and his 551 course is pretty reasonable. He gave only one midterm and a final, but the problems were a decent mix of old homework problems and new challenge problems. He can be pretty helpful in office hours, and it seems like he is primarily interested in the success of his students.\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-04 15:49:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"64f7d8826338709dcb909d82\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI5MDM1Mzgx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"She is really nice to students and helpful. Lectures are well organized, and proofs flow fluently. She gives motivations and time for students to actually think about the theorems. Will definitely take classes with her again!\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-15 22:33:48 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"26782041ad4049025824cec4\",\"instructor_id\":\"rmp:2099588\",\"instructor_name\":\"Lu Wang\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI5MjI4NDc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\"},{\"comment\":\"Topology is very difficult to understand on your own but Botong is the man and did a very good job explaining things--lectures were recorded, and he shared his lecture notes--which was super helpful so that I could just concentrate on understanding the content which is very nuanced. Exams were very fair. Homework was tricky but very manageable.\",\"course_id\":\"MATH 551\",\"date\":\"2021-01-12 07:51:10 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0b2c00e4981c0bb22734d12c\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM0MjY1Njgw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"Topology's not an easy subject, but he teaches it well and his lectures are helpful since he offers plenty of intuitive examples and doesn't mind taking time to answer questions. The only annoying thing about this course was that he never provides HW or exam solutions, which kind of suggests a lack of effort.\",\"course_id\":\"MATH 551\",\"date\":\"2024-04-25 13:50:13 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b73ae5b6125c7cb0ed3bd9bb\",\"instructor_id\":\"rmp:2216023\",\"instructor_name\":\"Autumn Kent\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU2NDUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2216023\"},{\"comment\":\"This site is a little too harsh. He explains things in a clear and concise manner and is quite helpful in office hours. However, he can come off as rude when answering questions.\",\"course_id\":\"MATH 551\",\"date\":\"2025-02-24 21:30:31 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"5de9c6704102480942ad3e55\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwNzAzNTEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"},{\"comment\":\"Great guy. He explains the content really well and is low key hilarious. Be prepared to do a fair amount of homework.\",\"course_id\":\"MATH 551\",\"date\":\"2025-03-26 12:37:30 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c6568c3b92420afca797a883\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"},{\"comment\":\"Prof Loving was extremely friendly and welcoming.  She was also a good lecturer, with extraordinarily nice handwriting and illustrative skills.\",\"course_id\":\"MATH 551\",\"date\":\"2026-01-20 19:34:00 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"1a9e872592a71b36d2a57d3b\",\"instructor_id\":\"rmp:2900916\",\"instructor_name\":\"Marissa Loving\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTI0Njc5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2900916\"},{\"comment\":\"She's a great lecturer and very caring. The only gripe is that the homeworks/tests were pretty easy, so I feel like I didn't learn as much as I would of otherwise\",\"course_id\":\"MATH 551\",\"date\":\"2026-04-30 21:19:21 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"338571a494577645336f68bb\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyOTg3ODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"},{\"comment\":\"Wonderful professor! \",\"course_id\":\"MATH 551\",\"date\":\"2026-06-01 05:58:30 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"705b8b935ecccbbae37511e7\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMjEzMzUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"},{\"comment\":\"Paige is a great professor for MATH 551. She explains difficult topology concepts clearly, keeps lectures organized, and genuinely cares about her students. Homework is fair and prepares you well for quizzes and exams, which are very manageable if you stay on top of the material. 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I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Horrible prof. Showed up 5-10 minutes late nearly every day, so that probably added up to a week of class missed over the course of the semester. Pretty much just read right out of the book, so if you don't understand the book you're screwed.\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-18 21:25:21 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"7bfd31ba7559c57cc6ca85b8\",\"instructor_id\":\"rmp:1079222\",\"instructor_name\":\"Mustafa Kalafat\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTEzODY4ODQy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1079222\"},{\"comment\":\"Prof. Chen went to class probably less than I did. He was always at least 5 minutes late, or he had his grad students teach for him. Homework was never collected, he didn't understand the material, and because of his poor teaching skills, the grader gave everyone at least a BC. I like him, he's a nice, jolly guy, but he is a poor teacher.\",\"course_id\":\"MATH 551\",\"date\":\"2008-05-19 17:00:58 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"0fa201ff19809677b30e2af8\",\"instructor_id\":\"rmp:791230\",\"instructor_name\":\"Xiuxiong Chen\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE0NDk0NzIw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/791230\"},{\"comment\":\"while a nice guy, his classes are extremely painful to sit through. he will often make mistakes, and not cover material but still expect you to know it. people eventually stop coming to class. his tests are okay.\",\"course_id\":\"MATH 551\",\"date\":\"2011-06-19 22:51:55 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"5957f1fb1ee3adcee931829c\",\"instructor_id\":\"rmp:310368\",\"instructor_name\":\"Yong-Geun Oh\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE4NzQ2NTcw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/310368\"},{\"comment\":\"worst professor ever among all math courses I have taken. Math teachers are supposed to be logically strict about every definition, thm and steps of proof. He is maybe the only math teacher who skips all accuracy\",\"course_id\":\"MATH 551\",\"date\":\"2014-02-23 23:47:11 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"0ca152bb36b933496a8e25ff\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTIyODYxODEy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"Hoping his performance in high-level math course would be different from Calculus. Never mind. He can make good intuition for the material at the beginning and then go nonstop. Writing on the board faster than me writing with pen. Homework can be returned after 2 weeks of turning in and solutions for all not written until 3 days before the exam.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:41:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"999ca8cac38614be53e44151\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2NTU5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"Noah never stops during a lecture. He thought everyone was following just fine so he never ask us if we need any clarification. Many proofs in class was not complete and always "leave as an exercise". No in-class explanations on the questions from the midterm. Solutions to the homework after the midterm were never given. Office hr cancelled often.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:59:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"0ad7e4e55bce3ceec4e49601\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2Njk2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"What is he talking about in each lecture? It is impossible for you to learn anything with his scribbled handwriting and scarce examples!\",\"course_id\":\"MATH 551\",\"date\":\"2022-05-05 20:08:43 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"a402a40433e39b2314b9d3d3\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM2MjU1OTg4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"On the surface this dude seems nice and well-mannered, in reality he is also extremely intelligent and holds a deep love for mathematics. But I only have two questions: will he have one moment of sincerity? Does he really care about teaching an average student how to do proper math?\",\"course_id\":\"MATH 551\",\"date\":\"2022-05-15 13:21:27 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"816982113b7bac61e4b8b595\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM2MzQyNTI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"Professor Gan just... didn't seem to have a plan. Although he followed the textbook, there were certain parts he would skip. His proofs in class were identical to the ones in the book. His lectures were nothing special. Just utter meh. If you ask him questions outside of the scope of the course, he doesn't know unless it's analysis related\",\"course_id\":\"MATH 551\",\"date\":\"2025-12-18 06:10:21 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c13f2560b3021a09c82ce2f5\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTQyMzI1OTE4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"}],\"evidence_count\":12,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"7bfd31ba7559c57cc6ca85b8\",\"0fa201ff19809677b30e2af8\",\"5957f1fb1ee3adcee931829c\",\"0ca152bb36b933496a8e25ff\",\"999ca8cac38614be53e44151\",\"0ad7e4e55bce3ceec4e49601\",\"a402a40433e39b2314b9d3d3\",\"816982113b7bac61e4b8b595\",\"c13f2560b3021a09c82ce2f5\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1029779\",\"name\":\"Sean Paul\"},{\"id\":\"rmp:1079222\",\"name\":\"Mustafa Kalafat\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2306774\",\"name\":\"Noah Schweber\"},{\"id\":\"rmp:2933442\",\"name\":\"Shengwen Gan\"},{\"id\":\"rmp:310368\",\"name\":\"Yong-Geun Oh\"},{\"id\":\"rmp:791230\",\"name\":\"Xiuxiong Chen\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"mixed\",\"summary\":\"Instructor clarity varies drastically. Some professors are praised for intuitive explanations, visual aids, and thoroughness, while others are criticized for disorganized lectures, skipping material, and poor handwriting.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"THE GOOD NEWS: He explains everything thoroughly, in a way that is easy to understand. I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"extremely difficult final, you finish what you can do in half of the time and then just  looking at the paper, helpless\",\"course_id\":\"MATH 551\",\"date\":\"2016-01-19 23:18:02 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"88884f78013e183806cb755c\",\"instructor_id\":\"rmp:2099588\",\"instructor_name\":\"Lu Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI1OTY2ODc0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\"},{\"comment\":\"Hoping his performance in high-level math course would be different from Calculus. Never mind. He can make good intuition for the material at the beginning and then go nonstop. Writing on the board faster than me writing with pen. Homework can be returned after 2 weeks of turning in and solutions for all not written until 3 days before the exam.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:41:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"999ca8cac38614be53e44151\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2NTU5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"Noah never stops during a lecture. He thought everyone was following just fine so he never ask us if we need any clarification. Many proofs in class was not complete and always "leave as an exercise". No in-class explanations on the questions from the midterm. Solutions to the homework after the midterm were never given. Office hr cancelled often.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:59:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"0ad7e4e55bce3ceec4e49601\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2Njk2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"He is a good lecturer and does his best to explain the concepts clearly using lots of pictures. However, the course is graded by 30% midterm and 40% final and the rest is homework. If you don't do well on the midterm, then you will be probably get C or D since there is hardly a good curve. It's challenging to get a good grade. Overall average\",\"course_id\":\"MATH 551\",\"date\":\"2022-01-04 18:16:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"72a33fff3efaf9e74e6a0b63\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM1Njk3ODkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"No comment! He's a tough grader and makes you feel depressed in class. \\nHe doesn't like giving extra credits and generally have very high expectations in exams. \\nHe has his own way of writing a proof, so if he miss something, you will lose tons of points. \\nNot a good professor at all.\",\"course_id\":\"MATH 551\",\"date\":\"2023-03-30 00:56:55 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"5e8411e801d4dbed14b521ac\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM3NTU3NzE0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"Great guy. He explains the content really well and is low key hilarious. Be prepared to do a fair amount of homework.\",\"course_id\":\"MATH 551\",\"date\":\"2025-03-26 12:37:30 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c6568c3b92420afca797a883\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"}],\"evidence_count\":9,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"88884f78013e183806cb755c\",\"999ca8cac38614be53e44151\",\"0ad7e4e55bce3ceec4e49601\",\"72a33fff3efaf9e74e6a0b63\",\"5e8411e801d4dbed14b521ac\",\"c6568c3b92420afca797a883\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1408142\",\"name\":\"Laurentiu Maxim\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2099588\",\"name\":\"Lu Wang\"},{\"id\":\"rmp:2306774\",\"name\":\"Noah Schweber\"},{\"id\":\"rmp:2634041\",\"name\":\"Alex Waldron\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"negative\",\"summary\":\"The course is consistently described as having a heavy workload, with many students reporting long hours on homework and difficult exams. Some students note that the difficulty is manageable with effort, but the volume of work is high.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Prof Wang is an expert in topology, and his 551 course is pretty reasonable. He gave only one midterm and a final, but the problems were a decent mix of old homework problems and new challenge problems. He can be pretty helpful in office hours, and it seems like he is primarily interested in the success of his students.\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-04 15:49:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"64f7d8826338709dcb909d82\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI5MDM1Mzgx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"He is a good lecturer and does his best to explain the concepts clearly using lots of pictures. However, the course is graded by 30% midterm and 40% final and the rest is homework. If you don't do well on the midterm, then you will be probably get C or D since there is hardly a good curve. It's challenging to get a good grade. Overall average\",\"course_id\":\"MATH 551\",\"date\":\"2022-01-04 18:16:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"72a33fff3efaf9e74e6a0b63\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM1Njk3ODkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"No comment! He's a tough grader and makes you feel depressed in class. \\nHe doesn't like giving extra credits and generally have very high expectations in exams. \\nHe has his own way of writing a proof, so if he miss something, you will lose tons of points. \\nNot a good professor at all.\",\"course_id\":\"MATH 551\",\"date\":\"2023-03-30 00:56:55 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"5e8411e801d4dbed14b521ac\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM3NTU3NzE0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"Topology's not an easy subject, but he teaches it well and his lectures are helpful since he offers plenty of intuitive examples and doesn't mind taking time to answer questions. The only annoying thing about this course was that he never provides HW or exam solutions, which kind of suggests a lack of effort.\",\"course_id\":\"MATH 551\",\"date\":\"2024-04-25 13:50:13 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b73ae5b6125c7cb0ed3bd9bb\",\"instructor_id\":\"rmp:2216023\",\"instructor_name\":\"Autumn Kent\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU2NDUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2216023\"},{\"comment\":\"Paige is a great professor for MATH 551. She explains difficult topology concepts clearly, keeps lectures organized, and genuinely cares about her students. Homework is fair and prepares you well for quizzes and exams, which are very manageable if you stay on top of the material. Definitely recommend taking 551 with her.\",\"course_id\":\"MATH 551\",\"date\":\"2026-08-05 07:02:06 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"8dabdd87a55066a106d40b2d\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMzQ2Njc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"}],\"evidence_count\":7,\"review_ids\":[\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"64f7d8826338709dcb909d82\",\"72a33fff3efaf9e74e6a0b63\",\"5e8411e801d4dbed14b521ac\",\"b73ae5b6125c7cb0ed3bd9bb\",\"8dabdd87a55066a106d40b2d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1408142\",\"name\":\"Laurentiu Maxim\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:2216023\",\"name\":\"Autumn Kent\"},{\"id\":\"rmp:2279567\",\"name\":\"Botong Wang\"},{\"id\":\"rmp:3142126\",\"name\":\"Paige Hillen\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2013\"},\"sentiment\":\"mixed\",\"summary\":\"Assessment varies by instructor. Some use take-home exams, others use traditional tests. Grading is often tough, with unfair curves reported. Solutions are not always provided.\"},{\"aspect\":\"overall\",\"evidence\":[{\"comment\":\"THE GOOD NEWS: He explains everything thoroughly, in a way that is easy to understand. I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Prof Wang is an expert in topology, and his 551 course is pretty reasonable. He gave only one midterm and a final, but the problems were a decent mix of old homework problems and new challenge problems. He can be pretty helpful in office hours, and it seems like he is primarily interested in the success of his students.\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-04 15:49:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"64f7d8826338709dcb909d82\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI5MDM1Mzgx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"She is really nice to students and helpful. Lectures are well organized, and proofs flow fluently. She gives motivations and time for students to actually think about the theorems. Will definitely take classes with her again!\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-15 22:33:48 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"26782041ad4049025824cec4\",\"instructor_id\":\"rmp:2099588\",\"instructor_name\":\"Lu Wang\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI5MjI4NDc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\"},{\"comment\":\"Topology is very difficult to understand on your own but Botong is the man and did a very good job explaining things--lectures were recorded, and he shared his lecture notes--which was super helpful so that I could just concentrate on understanding the content which is very nuanced. Exams were very fair. Homework was tricky but very manageable.\",\"course_id\":\"MATH 551\",\"date\":\"2021-01-12 07:51:10 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0b2c00e4981c0bb22734d12c\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM0MjY1Njgw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"Topology's not an easy subject, but he teaches it well and his lectures are helpful since he offers plenty of intuitive examples and doesn't mind taking time to answer questions. The only annoying thing about this course was that he never provides HW or exam solutions, which kind of suggests a lack of effort.\",\"course_id\":\"MATH 551\",\"date\":\"2024-04-25 13:50:13 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b73ae5b6125c7cb0ed3bd9bb\",\"instructor_id\":\"rmp:2216023\",\"instructor_name\":\"Autumn Kent\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU2NDUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2216023\"},{\"comment\":\"This site is a little too harsh. He explains things in a clear and concise manner and is quite helpful in office hours. However, he can come off as rude when answering questions.\",\"course_id\":\"MATH 551\",\"date\":\"2025-02-24 21:30:31 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"5de9c6704102480942ad3e55\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwNzAzNTEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"},{\"comment\":\"Great guy. He explains the content really well and is low key hilarious. Be prepared to do a fair amount of homework.\",\"course_id\":\"MATH 551\",\"date\":\"2025-03-26 12:37:30 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c6568c3b92420afca797a883\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"},{\"comment\":\"Prof Loving was extremely friendly and welcoming.  She was also a good lecturer, with extraordinarily nice handwriting and illustrative skills.\",\"course_id\":\"MATH 551\",\"date\":\"2026-01-20 19:34:00 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"1a9e872592a71b36d2a57d3b\",\"instructor_id\":\"rmp:2900916\",\"instructor_name\":\"Marissa Loving\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTI0Njc5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2900916\"},{\"comment\":\"She's a great lecturer and very caring. The only gripe is that the homeworks/tests were pretty easy, so I feel like I didn't learn as much as I would of otherwise\",\"course_id\":\"MATH 551\",\"date\":\"2026-04-30 21:19:21 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"338571a494577645336f68bb\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyOTg3ODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"},{\"comment\":\"Wonderful professor! \",\"course_id\":\"MATH 551\",\"date\":\"2026-06-01 05:58:30 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"705b8b935ecccbbae37511e7\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMjEzMzUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"},{\"comment\":\"Paige is a great professor for MATH 551. She explains difficult topology concepts clearly, keeps lectures organized, and genuinely cares about her students. Homework is fair and prepares you well for quizzes and exams, which are very manageable if you stay on top of the material. Definitely recommend taking 551 with her.\",\"course_id\":\"MATH 551\",\"date\":\"2026-08-05 07:02:06 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"8dabdd87a55066a106d40b2d\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMzQ2Njc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"}],\"evidence_count\":13,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"64f7d8826338709dcb909d82\",\"26782041ad4049025824cec4\",\"0b2c00e4981c0bb22734d12c\",\"b73ae5b6125c7cb0ed3bd9bb\",\"5de9c6704102480942ad3e55\",\"c6568c3b92420afca797a883\",\"1a9e872592a71b36d2a57d3b\",\"338571a494577645336f68bb\",\"705b8b935ecccbbae37511e7\",\"8dabdd87a55066a106d40b2d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2099588\",\"name\":\"Lu Wang\"},{\"id\":\"rmp:2216023\",\"name\":\"Autumn Kent\"},{\"id\":\"rmp:2279567\",\"name\":\"Botong Wang\"},{\"id\":\"rmp:2634041\",\"name\":\"Alex Waldron\"},{\"id\":\"rmp:2900916\",\"name\":\"Marissa Loving\"},{\"id\":\"rmp:3142126\",\"name\":\"Paige Hillen\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2007\"},\"sentiment\":\"mixed\",\"summary\":\"Satisfaction depends on the instructor. Engaging, supportive professors receive high praise, while disorganized or harsh ones are criticized. The subject matter is acknowledged as difficult.\"}]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":true},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_7d3f055b392d74c588d35d0b","course_id":"MATH 551","catalog_version_id":"11e1efff6e753be01271ebec40654b5808c2a7938f3ee2838c02645c6124b6ab","record_version_id":"6dc73f19053f8917793e5ee7f1fdc553b31300b4dfa82680049b2e6f4713815a","job_id":"enrich-b6d8f78c1be0d523cf09d00d","output_id":"d9be551fa8a0d0a9ee6f9a92d0ec657029e6304e304e9211c03553081dbfe5ed","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"aa5e9e1f8b5ffab153b58740a00fe95b0e754f539130d0b78eb8f0d1afd95d75\",\"course_id\":\"MATH 551\",\"current_instructors\":[{\"instructor_uid\":\"instructor_1ef4ea987a48aaba8c95fe68\",\"message\":\"No course-specific reviews available\",\"name\":\"Caglar Uyanik\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":\"rmp:2768657\",\"summary\":[]}],\"difficulty_workload\":[{\"citations\":[{\"instructor_name\":\"Arun Ram\",\"review_date\":\"2007-12-19 01:55:40 +0000 UTC\",\"review_id\":\"940135304f7131458f97114d\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:202881\",\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\",\"type\":\"review\"},{\"instructor_name\":\"Mingzhong Cai\",\"review_date\":\"2013-08-14 21:45:13 +0000 UTC\",\"review_id\":\"135ec97f33ea1b0b3a5f1dbc\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1709676\",\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\",\"type\":\"review\"}],\"text\":\"Historical reviews of Arun Ram, Mingzhong Cai: Workload varies significantly; Arun Ram assigned tons of homework causing late nights, while Mingzhong Cai’s take-home exams required over ten hours per midterm despite being difficult.\"}],\"errors\":[],\"historical_context\":[{\"citations\":[{\"instructor_name\":\"Mustafa Kalafat\",\"review_date\":\"2007-12-18 21:25:21 +0000 UTC\",\"review_id\":\"7bfd31ba7559c57cc6ca85b8\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1079222\",\"source_review_id\":\"UmF0aW5nLTEzODY4ODQy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1079222\",\"type\":\"review\"},{\"instructor_name\":\"Mingzhong Cai\",\"review_date\":\"2013-08-14 21:45:13 +0000 UTC\",\"review_id\":\"135ec97f33ea1b0b3a5f1dbc\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1709676\",\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\",\"type\":\"review\"},{\"instructor_name\":\"Amir Assadi\",\"review_date\":\"2016-05-09 17:21:31 +0000 UTC\",\"review_id\":\"c4c45ac0d044c9a07c76c9b5\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:513807\",\"source_review_id\":\"UmF0aW5nLTI2NTE2MDc0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/513807\",\"type\":\"review\"},{\"instructor_name\":\"Lu Wang\",\"review_date\":\"2017-12-15 22:33:48 +0000 UTC\",\"review_id\":\"26782041ad4049025824cec4\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2099588\",\"source_review_id\":\"UmF0aW5nLTI5MjI4NDc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\",\"type\":\"review\"},{\"instructor_name\":\"Laurentiu Maxim\",\"review_date\":\"2023-03-30 00:56:55 +0000 UTC\",\"review_id\":\"5e8411e801d4dbed14b521ac\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1408142\",\"source_review_id\":\"UmF0aW5nLTM3NTU3NzE0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\",\"type\":\"review\"},{\"instructor_name\":\"Alex Waldron\",\"review_date\":\"2025-03-26 12:37:30 +0000 UTC\",\"review_id\":\"c6568c3b92420afca797a883\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2634041\",\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\",\"type\":\"review\"},{\"instructor_name\":\"Shengwen Gan\",\"review_date\":\"2025-12-18 06:10:21 +0000 UTC\",\"review_id\":\"c13f2560b3021a09c82ce2f5\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2933442\",\"source_review_id\":\"UmF0aW5nLTQyMzI1OTE4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\",\"type\":\"review\"},{\"instructor_name\":\"Paige Hillen\",\"review_date\":\"2026-08-05 07:02:06 +0000 UTC\",\"review_id\":\"8dabdd87a55066a106d40b2d\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:3142126\",\"source_review_id\":\"UmF0aW5nLTQzMzQ2Njc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\",\"type\":\"review\"}],\"text\":\"Historical reviews: Caglar Uyanik is the current instructor. Lu Wang and Paige Hillen delivered clear, organized lectures with manageable workloads, while Mingzhong Cai and Alex Waldron explained concepts well but assigned difficult exams or heavy homework. Conversely, Shengwen Gan and Mustafa Kalafat were seen as disorganized, and Amir Assadi and Laurentiu Maxim faced criticism for pacing and strict grading.\"}],\"message\":null,\"offered\":true,\"profile_hash\":\"e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Paige Hillen\",\"review_date\":\"2026-08-05 07:02:06 +0000 UTC\",\"review_id\":\"8dabdd87a55066a106d40b2d\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:3142126\",\"source_review_id\":\"UmF0aW5nLTQzMzQ2Njc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\",\"type\":\"review\"},{\"instructor_name\":\"Lu Wang\",\"review_date\":\"2017-12-15 22:33:48 +0000 UTC\",\"review_id\":\"26782041ad4049025824cec4\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2099588\",\"source_review_id\":\"UmF0aW5nLTI5MjI4NDc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\",\"type\":\"review\"}],\"text\":\"Historical reviews of Lu Wang, Paige Hillen: Paige Hillen and Lu Wang provide clear, organized lectures that help students grasp difficult topology concepts, with Hillen’s homework effectively preparing students for manageable exams.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2025: 3.03 GPA, 44.8% A/AB (n=29 letter grades); Fall 2025: 3.20 GPA, 55.4% A/AB (n=65 letter grades); Spring 2026: 3.31 GPA, 62.5% A/AB (n=40 letter grades).\"}],\"student_experience\":[{\"citations\":[{\"instructor_name\":\"Autumn Kent\",\"review_date\":\"2024-04-25 13:50:13 +0000 UTC\",\"review_id\":\"b73ae5b6125c7cb0ed3bd9bb\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2216023\",\"source_review_id\":\"UmF0aW5nLTI0MTU2NDUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2216023\",\"type\":\"review\"},{\"instructor_name\":\"Alex Waldron\",\"review_date\":\"2025-03-26 12:37:30 +0000 UTC\",\"review_id\":\"c6568c3b92420afca797a883\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2634041\",\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\",\"type\":\"review\"}],\"text\":\"Historical reviews of Alex Waldron, Autumn Kent: Students appreciate intuitive examples and clear explanations from instructors like Autumn Kent and Alex Waldron, though Kent’s lack of provided solutions was noted as a frustration.\"}],\"task_hash\":\"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"}],\"text\":\"ALEX WALDRON is recorded teaching in Spring 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1164\",\"type\":\"grade\"}],\"text\":\"AMIR ASSADI is recorded teaching in Spring 2016. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"}],\"text\":\"AUTUMN KENT is recorded teaching in Fall 2014. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"}],\"text\":\"LAURENTIU MAXIM is recorded teaching in Fall 2021. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1182\",\"type\":\"grade\"}],\"text\":\"LU WANG is recorded teaching in Fall 2015, Fall 2017. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1134\",\"type\":\"grade\"}],\"text\":\"MINGZHONG CAI is recorded teaching in Spring 2013. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1082\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1092\",\"type\":\"grade\"}],\"text\":\"MUSTAFA KALAFAT is recorded teaching in Fall 2007, Fall 2008. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"PAIGE HILLEN is recorded teaching in Spring 2026. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1094\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1144\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1154\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1212\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1224\",\"type\":\"grade\"}],\"text\":\"SEAN PAUL is recorded teaching in Spring 2009, Spring 2014, Spring 2015, Fall 2020, Spring 2022. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"SHENGWEN GAN is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1084\",\"type\":\"grade\"}],\"text\":\"XIUXIONG CHEN is recorded teaching in Spring 2008. Recorded history may be incomplete and does not establish a future schedule.\"}],\"term_id\":\"1272\",\"term_name\":\"2026 Fall\",\"version\":2}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":true},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_7d3f055b392d74c588d35d0b","course_id":"MATH 551","catalog_version_id":"11e1efff6e753be01271ebec40654b5808c2a7938f3ee2838c02645c6124b6ab","record_version_id":"6dc73f19053f8917793e5ee7f1fdc553b31300b4dfa82680049b2e6f4713815a","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"44d889f6f6b7fdf285a1224987540fe4faca1ed2249f256cef0f1370e3d4f96d","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n2\",\"n3\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375) and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[\"n4\",\"n5\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375) and (MATH 341,375,421,467, or521)\",\"id\":\"n1\",\"kind\":\"all\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n2\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n3\",\"kind\":\"condition\"},{\"children\":[\"n6\",\"n7\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 234or375\",\"id\":\"n4\",\"kind\":\"any\"},{\"children\":[\"n8\",\"n9\",\"n10\",\"n11\",\"n12\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 341,375,421,467, or521\",\"id\":\"n5\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n6\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n7\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 341\",\"id\":\"n8\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n9\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"n10\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"n11\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"521\",\"id\":\"n12\",\"kind\":\"course\"}],\"notes\":[],\"root\":\"n0\",\"status\":\"parsed\"}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":true},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_7d3f055b392d74c588d35d0b","course_id":"MATH 551","catalog_version_id":"11e1efff6e753be01271ebec40654b5808c2a7938f3ee2838c02645c6124b6ab","record_version_id":"6dc73f19053f8917793e5ee7f1fdc553b31300b4dfa82680049b2e6f4713815a","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"44d889f6f6b7fdf285a1224987540fe4faca1ed2249f256cef0f1370e3d4f96d","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"description\",\"quote\":\"Introduction to calculus of functions of several variables; calculus on parameterized curves, derivatives of functions of several variables, multiple integrals, vector calculus.\"},{\"course_id\":\"MATH 341\",\"field\":\"description\",\"quote\":\"The theory of linear algebra with an introduction to proofs and proof writing. 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I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Horrible prof. Showed up 5-10 minutes late nearly every day, so that probably added up to a week of class missed over the course of the semester. Pretty much just read right out of the book, so if you don't understand the book you're screwed.\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-18 21:25:21 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"7bfd31ba7559c57cc6ca85b8\",\"instructor_id\":\"rmp:1079222\",\"instructor_name\":\"Mustafa Kalafat\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTEzODY4ODQy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1079222\"},{\"comment\":\"Prof. Chen went to class probably less than I did. He was always at least 5 minutes late, or he had his grad students teach for him. Homework was never collected, he didn't understand the material, and because of his poor teaching skills, the grader gave everyone at least a BC. I like him, he's a nice, jolly guy, but he is a poor teacher.\",\"course_id\":\"MATH 551\",\"date\":\"2008-05-19 17:00:58 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"0fa201ff19809677b30e2af8\",\"instructor_id\":\"rmp:791230\",\"instructor_name\":\"Xiuxiong Chen\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE0NDk0NzIw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/791230\"},{\"comment\":\"while a nice guy, his classes are extremely painful to sit through. he will often make mistakes, and not cover material but still expect you to know it. people eventually stop coming to class. his tests are okay.\",\"course_id\":\"MATH 551\",\"date\":\"2011-06-19 22:51:55 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"5957f1fb1ee3adcee931829c\",\"instructor_id\":\"rmp:310368\",\"instructor_name\":\"Yong-Geun Oh\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE4NzQ2NTcw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/310368\"},{\"comment\":\"worst professor ever among all math courses I have taken. Math teachers are supposed to be logically strict about every definition, thm and steps of proof. He is maybe the only math teacher who skips all accuracy\",\"course_id\":\"MATH 551\",\"date\":\"2014-02-23 23:47:11 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"0ca152bb36b933496a8e25ff\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTIyODYxODEy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"Hoping his performance in high-level math course would be different from Calculus. Never mind. He can make good intuition for the material at the beginning and then go nonstop. Writing on the board faster than me writing with pen. Homework can be returned after 2 weeks of turning in and solutions for all not written until 3 days before the exam.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:41:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"999ca8cac38614be53e44151\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2NTU5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"Noah never stops during a lecture. He thought everyone was following just fine so he never ask us if we need any clarification. Many proofs in class was not complete and always "leave as an exercise". No in-class explanations on the questions from the midterm. Solutions to the homework after the midterm were never given. Office hr cancelled often.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:59:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"0ad7e4e55bce3ceec4e49601\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2Njk2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"What is he talking about in each lecture? It is impossible for you to learn anything with his scribbled handwriting and scarce examples!\",\"course_id\":\"MATH 551\",\"date\":\"2022-05-05 20:08:43 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"a402a40433e39b2314b9d3d3\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM2MjU1OTg4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"On the surface this dude seems nice and well-mannered, in reality he is also extremely intelligent and holds a deep love for mathematics. But I only have two questions: will he have one moment of sincerity? Does he really care about teaching an average student how to do proper math?\",\"course_id\":\"MATH 551\",\"date\":\"2022-05-15 13:21:27 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"816982113b7bac61e4b8b595\",\"instructor_id\":\"rmp:1029779\",\"instructor_name\":\"Sean Paul\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM2MzQyNTI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1029779\"},{\"comment\":\"Professor Gan just... didn't seem to have a plan. Although he followed the textbook, there were certain parts he would skip. His proofs in class were identical to the ones in the book. His lectures were nothing special. Just utter meh. If you ask him questions outside of the scope of the course, he doesn't know unless it's analysis related\",\"course_id\":\"MATH 551\",\"date\":\"2025-12-18 06:10:21 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c13f2560b3021a09c82ce2f5\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTQyMzI1OTE4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"}],\"evidence_count\":12,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"7bfd31ba7559c57cc6ca85b8\",\"0fa201ff19809677b30e2af8\",\"5957f1fb1ee3adcee931829c\",\"0ca152bb36b933496a8e25ff\",\"999ca8cac38614be53e44151\",\"0ad7e4e55bce3ceec4e49601\",\"a402a40433e39b2314b9d3d3\",\"816982113b7bac61e4b8b595\",\"c13f2560b3021a09c82ce2f5\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1029779\",\"name\":\"Sean Paul\"},{\"id\":\"rmp:1079222\",\"name\":\"Mustafa Kalafat\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2306774\",\"name\":\"Noah Schweber\"},{\"id\":\"rmp:2933442\",\"name\":\"Shengwen Gan\"},{\"id\":\"rmp:310368\",\"name\":\"Yong-Geun Oh\"},{\"id\":\"rmp:791230\",\"name\":\"Xiuxiong Chen\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"mixed\",\"summary\":\"Instructor clarity varies drastically. Some professors are praised for intuitive explanations, visual aids, and thoroughness, while others are criticized for disorganized lectures, skipping material, and poor handwriting.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"THE GOOD NEWS: He explains everything thoroughly, in a way that is easy to understand. I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"extremely difficult final, you finish what you can do in half of the time and then just  looking at the paper, helpless\",\"course_id\":\"MATH 551\",\"date\":\"2016-01-19 23:18:02 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"88884f78013e183806cb755c\",\"instructor_id\":\"rmp:2099588\",\"instructor_name\":\"Lu Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI1OTY2ODc0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\"},{\"comment\":\"Hoping his performance in high-level math course would be different from Calculus. Never mind. He can make good intuition for the material at the beginning and then go nonstop. Writing on the board faster than me writing with pen. Homework can be returned after 2 weeks of turning in and solutions for all not written until 3 days before the exam.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:41:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"999ca8cac38614be53e44151\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2NTU5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"Noah never stops during a lecture. He thought everyone was following just fine so he never ask us if we need any clarification. Many proofs in class was not complete and always "leave as an exercise". No in-class explanations on the questions from the midterm. Solutions to the homework after the midterm were never given. Office hr cancelled often.\",\"course_id\":\"MATH 551\",\"date\":\"2019-05-05 20:59:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"0ad7e4e55bce3ceec4e49601\",\"instructor_id\":\"rmp:2306774\",\"instructor_name\":\"Noah Schweber\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxNzc2Njk2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2306774\"},{\"comment\":\"He is a good lecturer and does his best to explain the concepts clearly using lots of pictures. However, the course is graded by 30% midterm and 40% final and the rest is homework. If you don't do well on the midterm, then you will be probably get C or D since there is hardly a good curve. It's challenging to get a good grade. Overall average\",\"course_id\":\"MATH 551\",\"date\":\"2022-01-04 18:16:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"72a33fff3efaf9e74e6a0b63\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM1Njk3ODkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"No comment! He's a tough grader and makes you feel depressed in class. \\nHe doesn't like giving extra credits and generally have very high expectations in exams. \\nHe has his own way of writing a proof, so if he miss something, you will lose tons of points. \\nNot a good professor at all.\",\"course_id\":\"MATH 551\",\"date\":\"2023-03-30 00:56:55 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"5e8411e801d4dbed14b521ac\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM3NTU3NzE0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"Great guy. He explains the content really well and is low key hilarious. Be prepared to do a fair amount of homework.\",\"course_id\":\"MATH 551\",\"date\":\"2025-03-26 12:37:30 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c6568c3b92420afca797a883\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"}],\"evidence_count\":9,\"review_ids\":[\"940135304f7131458f97114d\",\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"88884f78013e183806cb755c\",\"999ca8cac38614be53e44151\",\"0ad7e4e55bce3ceec4e49601\",\"72a33fff3efaf9e74e6a0b63\",\"5e8411e801d4dbed14b521ac\",\"c6568c3b92420afca797a883\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1408142\",\"name\":\"Laurentiu Maxim\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:202881\",\"name\":\"Arun Ram\"},{\"id\":\"rmp:2099588\",\"name\":\"Lu Wang\"},{\"id\":\"rmp:2306774\",\"name\":\"Noah Schweber\"},{\"id\":\"rmp:2634041\",\"name\":\"Alex Waldron\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"negative\",\"summary\":\"The course is consistently described as having a heavy workload, with many students reporting long hours on homework and difficult exams. Some students note that the difficulty is manageable with effort, but the volume of work is high.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Prof Wang is an expert in topology, and his 551 course is pretty reasonable. He gave only one midterm and a final, but the problems were a decent mix of old homework problems and new challenge problems. He can be pretty helpful in office hours, and it seems like he is primarily interested in the success of his students.\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-04 15:49:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"64f7d8826338709dcb909d82\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI5MDM1Mzgx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"He is a good lecturer and does his best to explain the concepts clearly using lots of pictures. However, the course is graded by 30% midterm and 40% final and the rest is homework. If you don't do well on the midterm, then you will be probably get C or D since there is hardly a good curve. It's challenging to get a good grade. Overall average\",\"course_id\":\"MATH 551\",\"date\":\"2022-01-04 18:16:49 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"72a33fff3efaf9e74e6a0b63\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM1Njk3ODkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"No comment! He's a tough grader and makes you feel depressed in class. \\nHe doesn't like giving extra credits and generally have very high expectations in exams. \\nHe has his own way of writing a proof, so if he miss something, you will lose tons of points. \\nNot a good professor at all.\",\"course_id\":\"MATH 551\",\"date\":\"2023-03-30 00:56:55 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"5e8411e801d4dbed14b521ac\",\"instructor_id\":\"rmp:1408142\",\"instructor_name\":\"Laurentiu Maxim\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM3NTU3NzE0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1408142\"},{\"comment\":\"Topology's not an easy subject, but he teaches it well and his lectures are helpful since he offers plenty of intuitive examples and doesn't mind taking time to answer questions. The only annoying thing about this course was that he never provides HW or exam solutions, which kind of suggests a lack of effort.\",\"course_id\":\"MATH 551\",\"date\":\"2024-04-25 13:50:13 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b73ae5b6125c7cb0ed3bd9bb\",\"instructor_id\":\"rmp:2216023\",\"instructor_name\":\"Autumn Kent\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU2NDUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2216023\"},{\"comment\":\"Paige is a great professor for MATH 551. She explains difficult topology concepts clearly, keeps lectures organized, and genuinely cares about her students. Homework is fair and prepares you well for quizzes and exams, which are very manageable if you stay on top of the material. Definitely recommend taking 551 with her.\",\"course_id\":\"MATH 551\",\"date\":\"2026-08-05 07:02:06 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"8dabdd87a55066a106d40b2d\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMzQ2Njc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"}],\"evidence_count\":7,\"review_ids\":[\"e604a8b34687e2804f263b0f\",\"135ec97f33ea1b0b3a5f1dbc\",\"64f7d8826338709dcb909d82\",\"72a33fff3efaf9e74e6a0b63\",\"5e8411e801d4dbed14b521ac\",\"b73ae5b6125c7cb0ed3bd9bb\",\"8dabdd87a55066a106d40b2d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1408142\",\"name\":\"Laurentiu Maxim\"},{\"id\":\"rmp:1709676\",\"name\":\"Mingzhong Cai\"},{\"id\":\"rmp:2216023\",\"name\":\"Autumn Kent\"},{\"id\":\"rmp:2279567\",\"name\":\"Botong Wang\"},{\"id\":\"rmp:3142126\",\"name\":\"Paige Hillen\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2013\"},\"sentiment\":\"mixed\",\"summary\":\"Assessment varies by instructor. Some use take-home exams, others use traditional tests. Grading is often tough, with unfair curves reported. Solutions are not always provided.\"},{\"aspect\":\"overall\",\"evidence\":[{\"comment\":\"THE GOOD NEWS: He explains everything thoroughly, in a way that is easy to understand. I definitely learned a lot. THE BAD NEWS: TONS of homework. Lots of late nights. Even when homeworks were started ahead of time\",\"course_id\":\"MATH 551\",\"date\":\"2007-12-19 01:55:40 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"940135304f7131458f97114d\",\"instructor_id\":\"rmp:202881\",\"instructor_name\":\"Arun Ram\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTEzODcxMzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/202881\"},{\"comment\":\"A good instructor for topology. His proofs are slick and intuitive, plus he is great at drawing pictures, which is pretty important if you want to understand what's going on, especially in algebraic topology. Exams were take home and difficult, homeworks were graded very tough. Overall a good teacher, but the grading was a little rough.\",\"course_id\":\"MATH 551\",\"date\":\"2013-05-14 00:25:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"e604a8b34687e2804f263b0f\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTIxNzUyODYx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Professor Cai is awesome. I really enjoyed taking his class, largely because of his unique style. Exams are take-home but difficult--he told me I was the best student in the class, but I still needed 10+ hours to do each midterm. He gives proofs that differ from (and improve on) the book's, which is excellent. Overall, you can't do much better.\",\"course_id\":\"MATH 551\",\"date\":\"2013-08-14 21:45:13 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"135ec97f33ea1b0b3a5f1dbc\",\"instructor_id\":\"rmp:1709676\",\"instructor_name\":\"Mingzhong Cai\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyMDU0NjQ4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1709676\"},{\"comment\":\"Prof Wang is an expert in topology, and his 551 course is pretty reasonable. He gave only one midterm and a final, but the problems were a decent mix of old homework problems and new challenge problems. He can be pretty helpful in office hours, and it seems like he is primarily interested in the success of his students.\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-04 15:49:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"64f7d8826338709dcb909d82\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI5MDM1Mzgx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"She is really nice to students and helpful. Lectures are well organized, and proofs flow fluently. She gives motivations and time for students to actually think about the theorems. Will definitely take classes with her again!\",\"course_id\":\"MATH 551\",\"date\":\"2017-12-15 22:33:48 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"26782041ad4049025824cec4\",\"instructor_id\":\"rmp:2099588\",\"instructor_name\":\"Lu Wang\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI5MjI4NDc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\"},{\"comment\":\"Topology is very difficult to understand on your own but Botong is the man and did a very good job explaining things--lectures were recorded, and he shared his lecture notes--which was super helpful so that I could just concentrate on understanding the content which is very nuanced. Exams were very fair. Homework was tricky but very manageable.\",\"course_id\":\"MATH 551\",\"date\":\"2021-01-12 07:51:10 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0b2c00e4981c0bb22734d12c\",\"instructor_id\":\"rmp:2279567\",\"instructor_name\":\"Botong Wang\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM0MjY1Njgw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2279567\"},{\"comment\":\"Topology's not an easy subject, but he teaches it well and his lectures are helpful since he offers plenty of intuitive examples and doesn't mind taking time to answer questions. The only annoying thing about this course was that he never provides HW or exam solutions, which kind of suggests a lack of effort.\",\"course_id\":\"MATH 551\",\"date\":\"2024-04-25 13:50:13 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b73ae5b6125c7cb0ed3bd9bb\",\"instructor_id\":\"rmp:2216023\",\"instructor_name\":\"Autumn Kent\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU2NDUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2216023\"},{\"comment\":\"This site is a little too harsh. He explains things in a clear and concise manner and is quite helpful in office hours. However, he can come off as rude when answering questions.\",\"course_id\":\"MATH 551\",\"date\":\"2025-02-24 21:30:31 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"5de9c6704102480942ad3e55\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwNzAzNTEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"},{\"comment\":\"Great guy. He explains the content really well and is low key hilarious. Be prepared to do a fair amount of homework.\",\"course_id\":\"MATH 551\",\"date\":\"2025-03-26 12:37:30 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"c6568c3b92420afca797a883\",\"instructor_id\":\"rmp:2634041\",\"instructor_name\":\"Alex Waldron\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwODE5Nzk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2634041\"},{\"comment\":\"Prof Loving was extremely friendly and welcoming.  She was also a good lecturer, with extraordinarily nice handwriting and illustrative skills.\",\"course_id\":\"MATH 551\",\"date\":\"2026-01-20 19:34:00 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"1a9e872592a71b36d2a57d3b\",\"instructor_id\":\"rmp:2900916\",\"instructor_name\":\"Marissa Loving\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTI0Njc5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2900916\"},{\"comment\":\"She's a great lecturer and very caring. The only gripe is that the homeworks/tests were pretty easy, so I feel like I didn't learn as much as I would of otherwise\",\"course_id\":\"MATH 551\",\"date\":\"2026-04-30 21:19:21 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"338571a494577645336f68bb\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyOTg3ODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"},{\"comment\":\"Wonderful professor! \",\"course_id\":\"MATH 551\",\"date\":\"2026-06-01 05:58:30 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"705b8b935ecccbbae37511e7\",\"instructor_id\":\"rmp:3142126\",\"instructor_name\":\"Paige Hillen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQzMjEzMzUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\"},{\"comment\":\"Paige is a great professor for MATH 551. She explains difficult topology concepts clearly, keeps lectures organized, and genuinely cares about her students. Homework is fair and prepares you well for quizzes and exams, which are very manageable if you stay on top of the material. 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Arun Ram assigned tons of homework causing late nights, while Mingzhong Cai’s take-home exams required over ten hours per midterm despite being difficult.\"}],\"errors\":[{\"error\":\"UnexpectedModelBehavior: Exceeded maximum output retries (2)\",\"instructor_uid\":null,\"mode\":\"history\"}],\"historical_context\":[],\"message\":null,\"offered\":true,\"profile_hash\":\"e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Paige Hillen\",\"review_date\":\"2026-08-05 07:02:06 +0000 UTC\",\"review_id\":\"8dabdd87a55066a106d40b2d\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:3142126\",\"source_review_id\":\"UmF0aW5nLTQzMzQ2Njc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3142126\",\"type\":\"review\"},{\"instructor_name\":\"Lu Wang\",\"review_date\":\"2017-12-15 22:33:48 +0000 UTC\",\"review_id\":\"26782041ad4049025824cec4\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2099588\",\"source_review_id\":\"UmF0aW5nLTI5MjI4NDc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2099588\",\"type\":\"review\"}],\"text\":\"Historical reviews of Lu Wang, Paige Hillen: Paige Hillen and Lu Wang provide clear, organized lectures that help students grasp difficult topology concepts, with Hillen’s homework effectively preparing students for manageable exams.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2025: 3.03 GPA, 44.8% A/AB (n=29 letter grades); 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Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"}],\"text\":\"AUTUMN KENT is recorded teaching in Fall 2014. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"}],\"text\":\"LAURENTIU MAXIM is recorded teaching in Fall 2021. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1182\",\"type\":\"grade\"}],\"text\":\"LU WANG is recorded teaching in Fall 2015, Fall 2017. 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Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1082\",\"type\":\"grade\"},{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1092\",\"type\":\"grade\"}],\"text\":\"MUSTAFA KALAFAT is recorded teaching in Fall 2007, Fall 2008. 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Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"SHENGWEN GAN is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 551\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"source_record\":{\"entity_id\":\"24d0a8ef-9551-351b-81f7-458142a05e88\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1084\",\"type\":\"grade\"}],\"text\":\"XIUXIONG CHEN is recorded teaching in Spring 2008. Recorded history may be incomplete and does not establish a future schedule.\"}],\"term_id\":\"1272\",\"term_name\":\"2026 Fall\",\"version\":2}","candidate_json":null,"error":"[{\"mode\": \"history\", \"instructor_uid\": null, \"error\": \"UnexpectedModelBehavior: Exceeded maximum output retries (2)\"}]","model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":true}]