[{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"ca8f3ed88e1f0db6d51d0277069358ff563d8b1e02d2cf082c04a03b87cc5213","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"76193cbede96955db50db8e9427b675d4358d389be4dbc1084911a19f1acc53e","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[\"req_1\",\"req_2\"],\"condition\":null,\"course\":null,\"evidence\":\"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"root\",\"kind\":\"any\"},{\"children\":[],\"condition\":\"Graduate/professional standing\",\"course\":null,\"evidence\":\"Graduate/professional standing\",\"id\":\"req_1\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"req_2\",\"kind\":\"condition\"}],\"notes\":[],\"root\":\"root\",\"status\":\"parsed\"}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":true},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"ca8f3ed88e1f0db6d51d0277069358ff563d8b1e02d2cf082c04a03b87cc5213","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"76193cbede96955db50db8e9427b675d4358d389be4dbc1084911a19f1acc53e","section":"search_profile","status":"valid","value_json":"{\"activity_tags\":[],\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Basic graduate algebra courses (e.g.MATH 541and542orMATH 741and742) are strongly recommended.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Basic graduate algebra courses (e.g. MATH 541 and 542 or MATH 741 and 742)\"}],\"search_phrases\":[\"Lie algebras\",\"matrix groups\",\"Baker-Campbell-Hausdorff formula\",\"Killing form\",\"root systems\",\"Dynkin diagrams\",\"Weyl groups\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Lie algebras and matrix groups.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Study of Lie algebras and matrix groups\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula;\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Analysis of tangent spaces, exponentials, and the Baker-Campbell-Hausdorff formula\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"(nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form;\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Classification of nilpotent, solvable, and semisimple Lie algebras using Engel's and Lie's theorems, Levi decomposition, and the Killing form\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Exploration of sl(2)-representations, root systems, Dynkin diagrams, Weyl groups, Cartan and Borel subalgebras, and Serre's theorem\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"title\",\"quote\":\"LIE ALGEBRAS\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Lie algebras and matrix groups. Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula; (nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form; sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Graduate course covering Lie algebras and matrix groups, including tangent spaces, exponentials, classification theorems, representations, root systems, and Dynkin diagrams.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"tangent spaces; exponentials; Baker-Campbell-Hausdorff formula;\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Tangent spaces, exponentials, and the Baker-Campbell-Hausdorff formula\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"(nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form;\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Nilpotent, solvable, and semisimple Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"sl(2)-representations, root systems, Dynkin diagrams, Weyl groups, Cartan and Borel subalgebras, and Serre's theorem\"}]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":true},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"ca8f3ed88e1f0db6d51d0277069358ff563d8b1e02d2cf082c04a03b87cc5213","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"76193cbede96955db50db8e9427b675d4358d389be4dbc1084911a19f1acc53e","section":"student_experience","status":"insufficient_evidence","value_json":"{\"status\":\"insufficient_evidence\",\"themes\":[]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":true},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"ca8f3ed88e1f0db6d51d0277069358ff563d8b1e02d2cf082c04a03b87cc5213","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"76193cbede96955db50db8e9427b675d4358d389be4dbc1084911a19f1acc53e","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"26fe6be058ce7283fa3341a7220b95e42cc231568ab62039bc0787afd8961f1d\",\"course_id\":\"MATH 747\",\"current_instructors\":[{\"instructor_uid\":\"instructor_6f78a52f7684feaea56867f1\",\"message\":\"No course-specific reviews available\",\"name\":\"Paul Terwilliger\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":\"rmp:952212\",\"summary\":[{\"citations\":[{\"course_id\":\"MATH 747\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1102\",\"type\":\"grade\"},{\"course_id\":\"MATH 747\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"},{\"course_id\":\"MATH 747\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Fall 2009: 4.00 GPA, 100.0% A/AB (n=12 letter grades); Fall 2014: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Spring 2024: 4.00 GPA, 100.0% A/AB (n=41 letter grades).\"}]}],\"difficulty_workload\":[],\"errors\":[],\"historical_context\":[],\"message\":\"No course-specific reviews available\",\"offered\":true,\"profile_hash\":\"3f5110430805ccdd533c0c072df62d68a8a5f5441c4530bbdb15d419a199a09c\",\"quick_take\":[{\"citations\":[{\"course_id\":\"MATH 747\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH 747\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"},{\"course_id\":\"MATH 747\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Fall 2012: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Fall 2014: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Spring 2024: 4.00 GPA, 100.0% A/AB (n=41 letter grades).\"}],\"student_experience\":[],\"task_hash\":\"9dea82ef7f2113a5605c1c6030c4f9b19967eb742cc93a78268fb92357d29f5c\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 747\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1102\",\"type\":\"grade\"},{\"course_id\":\"MATH 747\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"},{\"course_id\":\"MATH 747\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"}],\"text\":\"PAUL M TERWILLIGER is recorded teaching in Fall 2009, Fall 2014, Spring 2024. Recorded history may be incomplete and does not establish a future schedule.\"}],\"term_id\":\"1274\",\"term_name\":\"2027 Sprng\",\"version\":3}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":true},{"run_id":"20260906T231458-5fdd2fff","observed_at":"2026-09-06 23:14:58.172943+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-5291a20b802b9bbbe22b24cb","output_id":"fb8dff5afcb8c70a274b93f21f00398440e744faa3526b05b5869d7ca521a566","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[],\"condition\":\"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n0\",\"kind\":\"condition\"}],\"notes\":[],\"root\":\"n0\",\"status\":\"parsed\"}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260906T231458-5fdd2fff","observed_at":"2026-09-06 23:14:58.172943+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-5291a20b802b9bbbe22b24cb","output_id":"fb8dff5afcb8c70a274b93f21f00398440e744faa3526b05b5869d7ca521a566","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Basic graduate algebra courses (e.g.MATH 541and542orMATH 741and742) are strongly recommended.\"}],\"text\":\"Graduate-level abstract algebra, specifically groups, rings, and field theory.\"}],\"search_phrases\":[\"Lie algebras graduate course\",\"Baker-Campbell-Hausdorff formula\",\"root systems Dynkin diagrams\",\"semisimple Lie algebras\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula; (nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form; sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem.\"}],\"text\":\"Analysis of Lie algebras and matrix groups including structure theory and representation basics.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"title\",\"quote\":\"LIE ALGEBRAS\"},{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Lie algebras and matrix groups. Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula; (nilpotent, solvable, semisimple) Lie algebras\"}],\"text\":\"A graduate course on Lie algebras and matrix groups covering structure theorems, representations, and root systems.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"tangent spaces; exponentials; Baker-Campbell-Hausdorff formula\"}],\"text\":\"Tangent spaces and exponentials\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"(nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition\"}],\"text\":\"Nilpotent, solvable, and semisimple Lie algebras\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Killing form; sl(2)-representations\"}],\"text\":\"Killing form and sl(2) representations\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem\"}],\"text\":\"Root systems, Dynkin diagrams, and Weyl groups\"}]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260906T231458-5fdd2fff","observed_at":"2026-09-06 23:14:58.172943+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-5291a20b802b9bbbe22b24cb","output_id":"fb8dff5afcb8c70a274b93f21f00398440e744faa3526b05b5869d7ca521a566","section":"student_experience","status":"insufficient_evidence","value_json":"{\"status\":\"insufficient_evidence\",\"themes\":[]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-5590a4969e0a630fe46a86e8","output_id":"716d22767d5e3c97696bba81c26eca6a00b6afb3b453a980774c2cd2170a6ff4","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[],\"condition\":\"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n0\",\"kind\":\"condition\"}],\"notes\":[],\"root\":\"n0\",\"status\":\"parsed\"}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-5590a4969e0a630fe46a86e8","output_id":"716d22767d5e3c97696bba81c26eca6a00b6afb3b453a980774c2cd2170a6ff4","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Basic graduate algebra courses (e.g.MATH 541and542orMATH 741and742) are strongly recommended.\"}],\"text\":\"Graduate-level abstract algebra, specifically groups, rings, and field theory.\"}],\"search_phrases\":[\"Lie algebras graduate course\",\"Baker-Campbell-Hausdorff formula\",\"root systems Dynkin diagrams\",\"semisimple Lie algebras\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula; (nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form; sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem.\"}],\"text\":\"Analysis of Lie algebras and matrix groups including structure theory and representation basics.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"title\",\"quote\":\"LIE ALGEBRAS\"},{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Lie algebras and matrix groups. Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula; (nilpotent, solvable, semisimple) Lie algebras\"}],\"text\":\"A graduate course on Lie algebras and matrix groups covering structure theorems, representations, and root systems.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"tangent spaces; exponentials; Baker-Campbell-Hausdorff formula\"}],\"text\":\"Tangent spaces and exponentials\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"(nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition\"}],\"text\":\"Nilpotent, solvable, and semisimple Lie algebras\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Killing form; sl(2)-representations\"}],\"text\":\"Killing form and sl(2) representations\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem\"}],\"text\":\"Root systems, Dynkin diagrams, and Weyl groups\"}]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-5590a4969e0a630fe46a86e8","output_id":"716d22767d5e3c97696bba81c26eca6a00b6afb3b453a980774c2cd2170a6ff4","section":"student_experience","status":"insufficient_evidence","value_json":"{\"status\":\"insufficient_evidence\",\"themes\":[]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"ca8f3ed88e1f0db6d51d0277069358ff563d8b1e02d2cf082c04a03b87cc5213","job_id":"enrich-6556a505c10f448d98d02466","output_id":"67ea93bdf4297e31d04339b898b7cf079d1789d5c95bc8c1f443fbc65658e0e1","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[\"req_1\",\"req_2\"],\"condition\":null,\"course\":null,\"evidence\":\"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"root\",\"kind\":\"any\"},{\"children\":[],\"condition\":\"Graduate/professional standing\",\"course\":null,\"evidence\":\"Graduate/professional standing\",\"id\":\"req_1\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"req_2\",\"kind\":\"condition\"}],\"notes\":[],\"root\":\"root\",\"status\":\"parsed\"}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":false},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"ca8f3ed88e1f0db6d51d0277069358ff563d8b1e02d2cf082c04a03b87cc5213","job_id":"enrich-6556a505c10f448d98d02466","output_id":"67ea93bdf4297e31d04339b898b7cf079d1789d5c95bc8c1f443fbc65658e0e1","section":"search_profile","status":"valid","value_json":"{\"activity_tags\":[],\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Basic graduate algebra courses (e.g.MATH 541and542orMATH 741and742) are strongly recommended.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Basic graduate algebra courses (e.g. MATH 541 and 542 or MATH 741 and 742)\"}],\"search_phrases\":[\"Lie algebras\",\"matrix groups\",\"Baker-Campbell-Hausdorff formula\",\"Killing form\",\"root systems\",\"Dynkin diagrams\",\"Weyl groups\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Lie algebras and matrix groups.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Study of Lie algebras and matrix groups\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula;\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Analysis of tangent spaces, exponentials, and the Baker-Campbell-Hausdorff formula\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"(nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form;\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Classification of nilpotent, solvable, and semisimple Lie algebras using Engel's and Lie's theorems, Levi decomposition, and the Killing form\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Exploration of sl(2)-representations, root systems, Dynkin diagrams, Weyl groups, Cartan and Borel subalgebras, and Serre's theorem\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"title\",\"quote\":\"LIE ALGEBRAS\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Lie algebras and matrix groups. Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula; (nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form; sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Graduate course covering Lie algebras and matrix groups, including tangent spaces, exponentials, classification theorems, representations, root systems, and Dynkin diagrams.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"tangent spaces; exponentials; Baker-Campbell-Hausdorff formula;\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Tangent spaces, exponentials, and the Baker-Campbell-Hausdorff formula\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"(nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form;\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Nilpotent, solvable, and semisimple Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"sl(2)-representations, root systems, Dynkin diagrams, Weyl groups, Cartan and Borel subalgebras, and Serre's theorem\"}]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":false},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"ca8f3ed88e1f0db6d51d0277069358ff563d8b1e02d2cf082c04a03b87cc5213","job_id":"enrich-6556a505c10f448d98d02466","output_id":"67ea93bdf4297e31d04339b898b7cf079d1789d5c95bc8c1f443fbc65658e0e1","section":"student_experience","status":"insufficient_evidence","value_json":"{\"status\":\"insufficient_evidence\",\"themes\":[]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"7e7051f275e88cbf42d9cb19a1ee7f3f52409ee9ecab74b04daa9662ae12a7d3","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[],\"condition\":\"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n0\",\"kind\":\"condition\"}],\"notes\":[],\"root\":\"n0\",\"status\":\"parsed\"}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"7e7051f275e88cbf42d9cb19a1ee7f3f52409ee9ecab74b04daa9662ae12a7d3","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Basic graduate algebra courses (e.g.MATH 541and542orMATH 741and742) are strongly recommended.\"}],\"text\":\"Graduate-level abstract algebra, specifically groups, rings, and field theory.\"}],\"search_phrases\":[\"Lie algebras graduate course\",\"Baker-Campbell-Hausdorff formula\",\"root systems Dynkin diagrams\",\"semisimple Lie algebras\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula; (nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition; Killing form; sl(2)-representations; root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem.\"}],\"text\":\"Analysis of Lie algebras and matrix groups including structure theory and representation basics.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"title\",\"quote\":\"LIE ALGEBRAS\"},{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Lie algebras and matrix groups. Topics: tangent spaces; exponentials; Baker-Campbell-Hausdorff formula; (nilpotent, solvable, semisimple) Lie algebras\"}],\"text\":\"A graduate course on Lie algebras and matrix groups covering structure theorems, representations, and root systems.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"tangent spaces; exponentials; Baker-Campbell-Hausdorff formula\"}],\"text\":\"Tangent spaces and exponentials\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"(nilpotent, solvable, semisimple) Lie algebras; Engel's and Lie's theorems; Levi decomposition\"}],\"text\":\"Nilpotent, solvable, and semisimple Lie algebras\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"Killing form; sl(2)-representations\"}],\"text\":\"Killing form and sl(2) representations\"},{\"evidence\":[{\"course_id\":\"MATH 747\",\"field\":\"description\",\"quote\":\"root systems; Dynkin diagrams; Weyl groups; Cartan and Borel subalgebras; Serre's theorem\"}],\"text\":\"Root systems, Dynkin diagrams, and Weyl groups\"}]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"7e7051f275e88cbf42d9cb19a1ee7f3f52409ee9ecab74b04daa9662ae12a7d3","section":"student_experience","status":"insufficient_evidence","value_json":"{\"status\":\"insufficient_evidence\",\"themes\":[]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_34ae84cc48e70d6fce6b838b","course_id":"MATH 747","catalog_version_id":"7c279427689995b09a5df63bc317a3d6cef3a085d779395ed91153d53987415a","record_version_id":"a2ff726b16251d9d94ca683ffc881cebda0b17e71e02211819ba7f70cc3d9169","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"7e7051f275e88cbf42d9cb19a1ee7f3f52409ee9ecab74b04daa9662ae12a7d3","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"c34c0e25e06d203d8b39d7a4abc9416b466f37c21ec92f4ff045b5388149cf1d\",\"course_id\":\"MATH 747\",\"current_instructors\":[],\"difficulty_workload\":[],\"errors\":[],\"historical_context\":[],\"message\":\"No course-specific reviews available\",\"offered\":false,\"profile_hash\":\"5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02\",\"quick_take\":[{\"citations\":[{\"course_id\":\"MATH 747\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH 747\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"},{\"course_id\":\"MATH 747\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"d8469285-960b-3bc3-aefd-7d801a3f76be\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Fall 2012: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Fall 2014: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Spring 2024: 4.00 GPA, 100.0% A/AB (n=41 letter grades).\"}],\"student_experience\":[],\"task_hash\":\"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68\",\"teaching_history\":[],\"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":false}]