Spring 2027

Topics in Algebra

Advanced topics in algebra covering Lie groups, algebraic groups, group cohomology, Hopf algebras, quantum groups, automorphic forms, and related structures.

no offering record for this termCredits unavailable
Recorded instructors · Spring 2027 No instructors listed

Summary

1 / 2

Recent recorded grades — Spring 2016: 4.00 GPA, 100.0% A/AB (n=22 letter grades); Fall 2017: 3.81 GPA, 90.5% A/AB (n=21 letter grades); Spring 2022: 4.00 GPA, 100.0% A/AB (n=29 letter grades).

Grade history

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average GPA
letter grades
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AB
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Prerequisites

Course map

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

    • Graduate/professional standing
    • member of the Pre-Masters Mathematics (Visiting International) Program
    take one
MATH 847

This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree
  • Any of
    • Graduate/professional standing
    • member of the Pre-Masters Mathematics (Visiting International) Program

Professors

Spring 2027

No instructors recorded for this selection.

Historical instructors & teaching patterns

Recorded history may be incomplete and does not establish a future schedule.

Calendar & sections

Spring 2027

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SectionModeEnrolled / capacityWaitlist

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Meeting source records

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Student experience

the class

Recent recorded grades — Spring 2016: 4.00 GPA, 100.0% A/AB (n=22 letter grades); Fall 2017: 3.81 GPA, 90.5% A/AB (n=21 letter grades); Spring 2022: 4.00 GPA, 100.0% A/AB (n=29 letter grades).

difficulty & workload

No workload feedback recorded.

Topics

  • Lie groups, algebraic groups, Chevalley groups, and simple groups
  • Group cohomology, group rings, Hopf algebras, enveloping algebras, and quantum groups
  • Infinite-dimensional Lie algebras, Hecke algebras, automorphic forms, and Galois representations
  • Zeta and L-functions, and abelian varieties

Skills

  • Study of advanced algebraic structures including Lie groups, algebraic groups, group cohomology, Hopf algebras, and automorphic forms.

Grades

Latest available · Spring 2022— not enough history to project Spring 2027.

average GPA
A / AB grades
letter grades
Instructor

Grade distribution · % of letter grades

A
AB
B
BC
C
D
F

Grades over time

Through Spring 2022

More grade details Grade mix, volume & source data

Not enough comparable courses for Spring 2027 in UW–Madison.

Sources & history

UW–Madison

Catalog & offerings

Descriptions, prerequisites, and recorded course offerings.

Catalog observation history

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Student reviews

Original comments behind the course and instructor summaries.

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Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

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Dataset & model

Recorded 2026-10-14

View the dataset on Hugging Face
Model outputs & technical records
Qwen/Qwen3.8-27B
LLM outputs across runs
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Full model traces

Recorded model configuration, reasoning, and tool conversations.

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Model & dataset provenance 
{
  "model": "Qwen/Qwen3.8-27B",
  "model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
  "task_version": "17",
  "output_id": "aaa71b2d193651b89a367353311f6eb8b6e9121ce0956f039cf8a10a326b8687",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}