Fall 2026

Algebraic Number Theory

ALGEBRAIC NUMBER THEORY covers the arithmetic of number fields, including algebraic integers, Dirichlet's Unit Theorem, and ideal class groups.

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Recorded instructors · Fall 2026 No instructors listed

Summary

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Recent recorded grades — Fall 2020: 3.96 GPA, 100.0% A/AB (n=25 letter grades); Fall 2022: 3.96 GPA, 96.0% A/AB (n=25 letter grades); Fall 2024: 4.00 GPA, 100.0% A/AB (n=22 letter grades).

Grade history

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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 or member of the Pre-Masters Mathematics (Visiting International) Program
MATH 748

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

Professors

Fall 2026

No instructors recorded for this selection.

Historical instructors & teaching patterns

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Calendar & sections

Fall 2026

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Student experience

the class

Recent recorded grades — Fall 2020: 3.96 GPA, 100.0% A/AB (n=25 letter grades); Fall 2022: 3.96 GPA, 96.0% A/AB (n=25 letter grades); Fall 2024: 4.00 GPA, 100.0% A/AB (n=22 letter grades).

difficulty & workload

No workload feedback recorded.

Topics

  • Arithmetic of number fields and algebraic integers
  • Geometry of numbers
  • Dirichlet's Unit Theorem
  • Ideal class groups
  • First case of Fermat's Last Theorem
  • Prime decompositions and Galois automorphisms

Skills

  • Study of number fields, algebraic integers, and ideal class groups.
  • Application of Galois automorphisms and prime decomposition.

Grades

Latest available · Fall 2024— 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 Fall 2024

More grade details Grade mix, volume & source data

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Sources & history

UW–Madison

Catalog & offerings

Descriptions, prerequisites, and recorded course offerings.

Catalog observation history

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Dataset & model

Recorded 2026-09-07

View the dataset on Hugging Face
Model outputs & technical records
nvidia/Qwen3.6-35B-A3B-NVFP4
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": "nvidia/Qwen3.6-35B-A3B-NVFP4",
  "model_revision": "1355db6a052410cfd62085d94b58866fd0f2c3c5",
  "task_version": "14",
  "output_id": "d5755dd889851db68c3294d685df8ed66eea25eac64f571dec08478700d9fe8f",
  "requirements_status": "valid",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}