Fall 2026

Automorphic Forms

MATH 849 covers the classical and modern theory of automorphic forms and the representation theory of GL(2).

offering recorded3 credits
Recorded instructors · Fall 2026 Tonghai Yang3.2/5

Summary

1 / 3

Recent recorded grades — Spring 2018: 3.85 GPA, 92.3% A/AB (n=13 letter grades); Fall 2022: 4.00 GPA, 100.0% A/AB (n=25 letter grades); Spring 2025: 3.40 GPA, 70.0% A/AB (n=20 letter grades).

Grade history

average GPA
letter grades
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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 849

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

Professors

Fall 2026
/5Adjusted rating
/5RMP difficulty
captured reviews
About this rating

Raw average: 3.02/5 from 45 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 2022: 4.00 GPA, 100.0% A/AB (n=25 letter grades).

Historical instructors & teaching patterns

TONGHAI YANG is recorded teaching in Fall 2022. 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

Fall 2026

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SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction17 / 200

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

Meeting source records

Student experience

the class

Recent recorded grades — Spring 2018: 3.85 GPA, 92.3% A/AB (n=13 letter grades); Fall 2022: 4.00 GPA, 100.0% A/AB (n=25 letter grades); Spring 2025: 3.40 GPA, 70.0% A/AB (n=20 letter grades).

difficulty & workload

No workload feedback recorded.

Topics

  • Automorphic forms
  • Representation theory of GL(2)

Skills

  • Understanding automorphic forms
  • Applying representation theory to GL(2)

Grades

Latest available · Spring 2025— not enough history to project Fall 2026.

average GPA
A / AB grades
letter grades
Instructor

Grade distribution · % of letter grades

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AB
B
BC
C
D
F

Grades over time

Through Spring 2025

More grade details Grade mix, volume & source data

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

Sources & history

UW–Madison

Catalog & offerings

Descriptions, prerequisites, and recorded course offerings.

Catalog observation history

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Selected offering source records
MATH 849 · Fall 2026

Automorphic Forms

Recorded 2026-09-07
Raw records
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "offering_id": "1272:600:024500",
    "course_id": "MATH 849",
    "course_uid": "course_37418528c8b208b186458d37",
    "term_id": "1272",
    "source_course_id": "024500",
    "source_subject_id": "600",
    "title": "Automorphic Forms",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Fall, Summer"
  }
]
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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": "d99118fefabd9ac3a4b29479e40990b5ad435226d02edcff36d2c087e6b1a317",
  "requirements_status": "valid",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}