Fall 2026

Introduction to Algebraic Topology

Introduction to algebraic topology with an emphasis on geometric aspects, fundamental groups, covering spaces, and simplicial homology.

no offering record for this termCredits unavailable
Recorded instructors · Fall 2026 No instructors listed

Summary

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Recent recorded grades — Spring 2024: 3.57 GPA, 78.6% A/AB (n=14 letter grades); Spring 2025: 3.57 GPA, 71.4% A/AB (n=21 letter grades); Spring 2026: 3.54 GPA, 92.3% A/AB (n=13 letter grades).

Grade history

average GPA
letter grades
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AB
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Prerequisites

Course map

(MATH 541 and 551), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)

    • take all
    • graduate/professional standing
    • declared in Mathematics VISP (undergraduate or graduate)
    take one
MATH 552

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

Prerequisite text tree
  • Any of
    • All of
    • graduate/professional standing
    • declared in Mathematics VISP (undergraduate or graduate)

Professors

Fall 2026

No instructors recorded for this selection.

Historical instructors & teaching patterns

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

Calendar & sections

Fall 2026

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Meeting source records

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Student experience

the class

Recent recorded grades — Spring 2024: 3.57 GPA, 78.6% A/AB (n=14 letter grades); Spring 2025: 3.57 GPA, 71.4% A/AB (n=21 letter grades); Spring 2026: 3.54 GPA, 92.3% A/AB (n=13 letter grades).

difficulty & workload

No workload feedback recorded.

Topics

  • Two-dimensional manifolds and fundamental groups
  • Covering spaces
  • Simplicial homology and the Euler-Poincare formula
  • Homotopy classes of mappings

Skills

  • Understanding geometric aspects of algebraic topology, including fundamental groups, covering spaces, and simplicial homology.

Grades

Latest available · Spring 2026— not enough history to project Fall 2026.

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 2026

More grade details Grade mix, volume & source data

Not enough comparable courses for Fall 2026 in UW–Madison.

Sources & history

UW–Madison

Catalog & offerings

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Raw records
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Model outputs & technical records
nvidia/Qwen3.6-35B-A3B-NVFP4
LLM outputs across runs
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Model & dataset provenance
{
  "model": "nvidia/Qwen3.6-35B-A3B-NVFP4",
  "model_revision": "1355db6a052410cfd62085d94b58866fd0f2c3c5",
  "task_version": "14",
  "output_id": "b7bdff7e003458c6df6645776507b8cb932b530cc00c14c7186fd4dc73ddf49b",
  "requirements_status": "valid",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}