# MATH 846: Topics in Combinatorics | UW–Madison [View on UW Courses](https://uwcourses.com/courses/MATH_846) ## Dataset ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ### repository twangodev/uwcourses ### schema version 6 ### importer version 7 ### projection id 52a78527ff09011d88cb04c7d43867d9fbfec2930bf1dd2ec359ebd2844e0b07 ### observed at 2026-09-07T15:55:43.033547+00:00 ### built at 2026-09-10T19:50:42.743001+00:00 ### courses 8951 ### current instructors 5754 ### limited false ### terms * 1272 * 1264 * 1262 * 1254 * 1252 * 1244 * 1242 * 1234 * 1232 * 1224 * 1222 * 1212 * 1204 * 1202 * 1194 * 1192 * 1184 * 1182 * 1174 * 1172 * 1164 * 1162 * 1154 * 1152 * 1144 * 1142 * 1134 * 1132 * 1124 * 1122 * 1114 * 1112 * 1104 * 1102 * 1094 * 1092 * 1084 * 1082 * 1074 * 1072 ### term 1272 ### departments | subject | count | | --------- | ----- | | AAE | 90 | | ABT | 20 | | ACCTIS | 36 | | ACTSCI | 14 | | AFAERO | 10 | | AFRICAN | 87 | | AFROAMER | 71 | | AGROECOL | 21 | | AMERIND | 53 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NEURSURG | 4 | | NTP | 11 | | NURSING | 111 | | NUTRSCI | 65 | | OBS\&GYN | 18 | | OCCTHER | 39 | | ONCOLOGY | 14 | | OPHTHALM | 5 | | OTM | 43 | | PATH | 34 | | PATH-BIO | 29 | | PEDIAT | 26 | | PHARMACY | 31 | | PHILOS | 77 | | PHMCOL-M | 11 | | PHMPRAC | 45 | | PHMSCI | 60 | | PHYASST | 37 | | PHYSICS | 88 | | PHYSIOL | 3 | | PHYTHER | 37 | | PLANTSCI | 52 | | PLPATH | 35 | | POLISCI | 192 | | POPHLTH | 58 | | PORTUG | 33 | | PSYCH | 101 | | PSYCHIAT | 22 | | PUBAFFR | 54 | | PUBLHLTH | 23 | | RADIOL | 11 | | REALEST | 41 | | RELIGST | 90 | | RHABMED | 9 | | RMI | 24 | | RP\&SE | 102 | | S\&APHM | 17 | | SCANDST | 73 | | SLAVIC | 89 | | SOC | 149 | | SOCWORK | 87 | | SOILSCI | 46 | | SPANISH | 83 | | SRMED | 21 | | STAT | 94 | | STDYABRD | 52 | | STS | 8 | | SURGERY | 25 | | SURGSCI | 33 | | THEATRE | 91 | | URBRPL | 60 | | UROLOGY | 5 | | ZOOLOGY | 89 | ## course ### run id 20260907T155543-ce3781c4 ### semester 1272 ### observed at 2026-09-07 15:55:43.033547+00:00 ### record version id 13cbafafbada54c82cfa9d1eeeaf4077809215d47922f4d687f86f378282e5ba ### course id MATH 846 ### course uid course\_01b40a705149089e132d3827 ### catalog version id c36b8ac2ba2dbde591df93a33aeac572132ae6c27da087db5a3d7c274b53bb70 ### course number 846 ### subjects * MATH ### title TOPICS IN COMBINATORICS ### description Topics in algebraic combinatorics such as (but not limited to) association schemes, hypergeometric series, classical orthogonal polynomials, codes, lattices, invariant theory, alternating sign matrices and domino tilings, statistical mechanical models, 6j-symbols, buildings and diagram geometries, matroids. ### requirements text Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program ### credit offering ids None recorded. ### llm job id enrich-8b774950c2b6adfdc46d1b82 ### llm output id 24ae22a647b18ff01bc26505ff303988bfa6fcb40e3d5ae4a3d39d8b1939256b ### llm model nvidia/Qwen3.6-35B-A3B-NVFP4 ### llm model revision 1355db6a052410cfd62085d94b58866fd0f2c3c5 ### llm task version 14 ### llm search status valid ### llm summary MATH 846 covers advanced topics in algebraic combinatorics including association schemes, orthogonal polynomials, and matroids. ### llm topics * Association schemes * Hypergeometric series * Classical orthogonal polynomials * Codes and lattices * Invariant theory * Alternating sign matrices and domino tilings * Statistical mechanical models * Matroids ### llm skills None recorded. ### llm assumed background None recorded. ### llm search phrases * algebraic combinatorics * association schemes * orthogonal polynomials * invariant theory * matroids * lattice theory ### llm requirements status valid ### llm student summary status valid ### llm experience status insufficient\_evidence ### catalog variants None recorded. ### student summary #### context hash 26ca761cb9b6c75f852d6281194d9e9464192420be53eed8e0c9fb4fff33169d #### course id MATH 846 #### current instructors None recorded. #### difficulty workload None recorded. #### errors None recorded. #### historical context None recorded. #### message No course-specific reviews available #### offered false #### profile hash 5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02 #### quick take Recent recorded grades — Spring 2022: 4.00 GPA, 100.0% A/AB (n=13 letter grades); Spring 2023: 4.00 GPA, 100.0% A/AB (n=15 letter grades); Spring 2026: 4.00 GPA, 100.0% A/AB (n=14 letter grades). ```json { "citations": [ { "course_id": "MATH 846", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "cbb8b85a-490f-301e-af30-9b372edf740c", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1224", "type": "grade" }, { "course_id": "MATH 846", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "cbb8b85a-490f-301e-af30-9b372edf740c", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, 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1413, "counts": [ 662, 148, 290, 97, 152, 35, 29 ], "sections": 108 }, "instructor_url": "/instructors/PAUL_M_TERWILLIGER" } ] ``` ### grades ```json [ { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 846", "course_uid": "course_01b40a705149089e132d3827", "term_id": "1072", "term_name": "Fall 2006", "instructors": [ "RICHARD A BRUALDI" ], "a": 21, "ab": 0, "b": 0, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 21, "source_aliases": [ "MATH 846" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 846", "course_uid": "course_01b40a705149089e132d3827", "term_id": "1094", "term_name": "Spring 2009", "instructors": [ "Paul Terwilliger" ], "a": 25, "ab": 0, "b": 0, "bc": 0, "c": 0, "d": 0, "f": 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[ { "subject": "MATH", "comparison": { "size": 108, "gpaPercentile": 91, "countPercentile": 62, "medianCount": 149, "histogram": [ { "range": "0.0–0.4", "count": 0, "current": false }, { "range": "0.4–0.8", "count": 0, "current": false }, { "range": "0.8–1.2", "count": 0, "current": false }, { "range": "1.2–1.6", "count": 0, "current": false }, { "range": "1.6–2.0", "count": 0, "current": false }, { "range": "2.0–2.4", "count": 0, "current": false }, { "range": "2.4–2.8", "count": 7, "current": false }, { "range": "2.8–3.2", "count": 29, "current": false }, { "range": "3.2–3.6", "count": 20, "current": false }, { "range": "3.6–4.0", "count": 52, "current": true } ] } } ] ``` ### terms #### 1072 ##### term 1072 ##### gpa 4 ##### count 21 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1094 ##### term 1094 ##### gpa 4 ##### count 25 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1104 ##### term 1104 ##### gpa 4 ##### count 11 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1122 ##### term 1122 ##### gpa 4 ##### count 11 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1142 ##### term 1142 ##### gpa 4 ##### count 9 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1162 ##### term 1162 ##### gpa 4 ##### count 11 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1172 ##### term 1172 ##### gpa 4 ##### count 12 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1184 ##### term 1184 ##### gpa 4 ##### count 22 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1194 ##### term 1194 ##### gpa 4 ##### count 8 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1202 ##### term 1202 ##### gpa 4 ##### count 13 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1224 ##### term 1224 ##### gpa 4 ##### count 13 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1234 ##### term 1234 ##### gpa 4 ##### count 15 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1264 ##### term 1264 ##### gpa 4 ##### count 14 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | ### benchmarks #### all ##### school ###### size 4489 ###### gpa 3.6366536441870068 ###### top Share 80.43054353901354 ###### count 125 ##### MATH ###### size 108 ###### gpa 3.463244852480307 ###### top Share 70.95090493276838 ###### count 149 #### terms ##### 1072 ###### school ###### size 723 ###### gpa 3.344595727439471 ###### top Share 62.012941427864526 ###### count 67 ###### MATH ###### size 21 ###### gpa 2.878188611674867 ###### top Share 40.4748751710427 ###### count 115 ##### 1094 ###### school ###### size 758 ###### gpa 3.3891454428111527 ###### top Share 64.36369814389255 ###### count 71 ###### MATH ###### size 19 ###### gpa 2.861322177541941 ###### top Share 40.26350030907326 ###### count 108 ##### 1104 ###### school ###### size 793 ###### gpa 3.384661458923085 ###### top Share 64.6614752434143 ###### count 66 ###### MATH ###### size 23 ###### gpa 2.9531575824731964 ###### top Share 43.549837152646596 ###### count 98 ##### 1122 ###### school ###### size 804 ###### gpa 3.3737149752667013 ###### top Share 63.65118790117902 ###### count 70 ###### MATH ###### size 27 ###### gpa 2.898067749128924 ###### top Share 42.09489165698714 ###### count 103 ##### 1134 ###### school ###### size 852 ###### gpa 3.4138934207568203 ###### top Share 66.35946578182744 ###### count 66 ###### MATH ###### size 26 ###### gpa 2.938004331770204 ###### top Share 42.318323348030226 ###### count 83.5 ##### 1142 ###### school ###### size 853 ###### gpa 3.3941849959684913 ###### top Share 65.28450334228523 ###### count 67 ###### MATH ###### size 31 ###### gpa 3.009040780059457 ###### top Share 45.87481076818359 ###### count 77 ##### 1162 ###### school ###### size 954 ###### gpa 3.43726781345039 ###### top Share 68.05645304987395 ###### count 64.5 ###### MATH ###### size 36 ###### gpa 3.1059509777204544 ###### top Share 50.071044743474 ###### count 74.5 ##### 1172 ###### school ###### size 991 ###### gpa 3.465129042641772 ###### top Share 69.42600667567366 ###### count 67 ###### MATH ###### size 36 ###### gpa 3.098601909983034 ###### top Share 48.67573746500224 ###### count 66 ##### 1184 ###### school ###### size 1010 ###### gpa 3.47925290354517 ###### top Share 70.86270937115944 ###### count 68 ###### MATH ###### size 36 ###### gpa 3.0650838986714333 ###### top Share 47.42689290604571 ###### count 83.5 ##### 1194 ###### school ###### size 1040 ###### gpa 3.4906527436719808 ###### top Share 71.74728845515045 ###### count 67 ###### MATH ###### size 38 ###### gpa 3.133406260873163 ###### top Share 53.17595010634325 ###### count 71.5 ##### 1202 ###### school ###### size 1102 ###### gpa 3.5102605987403313 ###### top Share 72.78244569053733 ###### count 68 ###### MATH ###### size 40 ###### gpa 3.1467748801316944 ###### top Share 52.57847974231038 ###### count 90.5 ##### 1224 ###### school ###### size 1171 ###### gpa 3.5627882428500937 ###### top Share 76.37271640560496 ###### count 64 ###### MATH ###### size 34 ###### gpa 3.1555898753466907 ###### top Share 53.444319815085976 ###### count 87.5 ##### 1234 ###### school ###### size 1188 ###### gpa 3.5799441677552393 ###### top Share 77.18256448537606 ###### count 65 ###### MATH ###### size 41 ###### gpa 3.178489266862151 ###### top Share 56.06874885619616 ###### count 67 ##### 1264 ###### school ###### size 1283 ###### gpa 3.6229729166451925 ###### top Share 80.13669149396227 ###### count 66 ###### MATH ###### size 42 ###### gpa 3.13598176627681 ###### top Share 52.25969905887213 ###### count 80 ## instructor Trends ```json [ { "uid": "instructor_0fccae6a11c543f1039456f8", "name": "PAUL M TERWILLIGER", "count": 164, "terms": [ { "term": "1094", "count": 25, "sections": 1, "gpa": 4 }, { "term": "1104", "count": 11, "sections": 1, "gpa": 4 }, { "term": "1122", "count": 11, "sections": 1, "gpa": 4 }, { "term": "1142", "count": 9, "sections": 1, "gpa": 4 }, { "term": "1162", "count": 11, "sections": 1, "gpa": 4 }, { "term": "1172", "count": 12, "sections": 1, "gpa": 4 }, { "term": "1184", "count": 22, "sections": 1, "gpa": 4 }, { "term": "1194", "count": 8, "sections": 1, "gpa": 4 }, { "term": "1202", "count": 13, "sections": 1, "gpa": 4 }, { "term": "1224", "count": 13, "sections": 1, "gpa": 4 }, { "term": "1234", "count": 15, "sections": 1, "gpa": 4 }, { "term": "1264", "count": 14, "sections": 1, "gpa": 4 } ] }, { "uid": "instructor_1e24f94aea20e0aa140b0f04", "name": "RICHARD A BRUALDI", "count": 21, "terms": [ { "term": "1072", "count": 21, "sections": 1, "gpa": 4 } ] } ] ``` ## following None recorded.