Spring 2027

Differential Geometry

Graduate differential geometry course covering the metric properties of Riemannian manifolds, including geodesics, comparison theorems, and Hodge-de Rham theory.

offering recorded3 credits
Recorded instructors · Spring 2027 Alex Waldron3.1/5

Summary

1 / 5

Past student reviews · Sean Paul

Grading lacked clear criteria, with one student perceiving that final grades reflected instructor satisfaction rather than true academic performance.

Grade history

↗
average GPA
letter grades
A
AB
B
BC
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F

All recorded terms · compare terms & instructors

Prerequisites

Course map

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

  • Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program
MATH 765

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

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

Professors

Spring 2027

Alex Waldron

Adjusted rating
RMP difficulty
captured reviews
About this rating

Raw average: 2.67/5 from 30 quality ratings. The adjusted rating blends this with the UW review average (3.66/5), weighted as 20 additional ratings. Smaller samples stay closer to that average. Each captured review is counted once in the prior; this does not correct who chooses to leave a review.

RMP profile ↗ · All captured review dates; profile matched by name.

Recent recorded grades — Fall 2023: 4.00 GPA, 100.0% A/AB (n=11 letter grades); Spring 2026: 4.00 GPA, 100.0% A/AB (n=19 letter grades).

Historical instructors & teaching patterns

ALEX WALDRON is recorded teaching in Fall 2023, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.

SEAN PAUL is recorded teaching in Spring 2008, Spring 2010, Spring 2012, Spring 2016, Spring 2018, Spring 2019, Fall 2022, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.

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

Calendar & sections

Spring 2027

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction0 / 200

Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.

Meeting source records
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Student experience

the class

Past student reviews · Sean Paul

Previous students found lectures unorganized, noting that specific course topics like Jacobi fields were omitted in favor of off-topic tangents.

Recent recorded grades — Fall 2023: 4.00 GPA, 100.0% A/AB (n=11 letter grades); Spring 2025: 3.62 GPA, 91.7% A/AB (n=12 letter grades); Spring 2026: 4.00 GPA, 100.0% A/AB (n=19 letter grades).

difficulty & workload

Past student reviews · Sean Paul

Grading lacked clear criteria, with one student perceiving that final grades reflected instructor satisfaction rather than true academic performance.

Past student reviews · Sean Paul

A student felt the instructor blamed them entirely for any struggles, leading them to regret enrolling in the course.

Topics

  • Vector bundles, connections, Riemannian metrics, submanifolds, geodesics, comparison theorems, and Hodge-de Rham theory

Skills

  • Analyzing vector bundles, connections, Riemannian metrics, geodesics, comparison theorems, and Hodge-de Rham theory

Grades

Latest available · Spring 2026— 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 2026

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

Observations at scan time; dates do not imply when a catalog change took effect.

Download part 1
Selected offering source records
MATH 765 · Spring 2027

Differential Geometry

Recorded 2026-10-14
Raw records 
[
  {
    "run_id": "20261014T203208-0851c9a1",
    "semester": "1274",
    "observed_at": "2026-10-14 17:50:09.728220+00:00",
    "offering_id": "1274:600:011762",
    "course_id": "MATH 765",
    "course_uid": "course_26e66d6ac87698124a229853",
    "term_id": "1274",
    "source_course_id": "011762",
    "source_subject_id": "600",
    "title": "Differential Geometry",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Occasionally"
  }
]
Rate My Professors

Student reviews

Original comments behind the course and instructor summaries.

Read original reviews
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Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

Explore recorded grades
Dataset & model

Recorded 2026-10-14

View the dataset on Hugging Face
Model outputs & technical records
Qwen/Qwen3.8-27B
LLM outputs across runs
Download part 1
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Download part 1
Model & dataset provenance 
{
  "model": "Qwen/Qwen3.8-27B",
  "model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
  "task_version": "17",
  "output_id": "d8a99f6c8aa225173d642e55c9bf20b0eb6e3db994aab6d6abb2134df95c7c88",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}