Modern Number Theory
Modern Number Theory covers fundamentals and modern applications including modular arithmetic, Diophantine equations, and random matrix theory.
Summary
Historical reviews of Yousheng Shi: Reviewers describe the course as exam-heavy with difficult tests, requiring significant study and a strong background in abstract algebra.
Grade history
↗letter grades
All recorded terms · compare terms & instructors
Prerequisites
Course mapMATH 541 or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program
- MATH 541
- graduate/professional standing
- member of the Pre-Masters Mathematics (Visiting International) Program
This is a best-effort interpretation; check the catalog requirements above.
Prerequisite text tree
- Any of
- MATH 541
- graduate/professional standing
- member of the Pre-Masters Mathematics (Visiting International) Program
Professors
Fall 2026No instructors recorded for this selection.
Historical instructors & teaching patterns
Historical reviews of Andrei Caldararu, Daniel Erman, Dmytro Arinkin: Dmytro Arinkin and Daniel Erman are praised for clarity, passion, and making difficult material approachable. Andrei Caldararu is knowledgeable but requires significant study and offers unclear grading feedback until the semester ends.
ANDREI CALDARARU is recorded teaching in Fall 2017, Spring 2020, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.
DANIEL ERMAN is recorded teaching in Fall 2016, Fall 2018. Recorded history may be incomplete and does not establish a future schedule.
DMYTRO ARINKIN is recorded teaching in Fall 2013, Fall 2014, Fall 2015. Recorded history may be incomplete and does not establish a future schedule.
YOUSHENG SHI is recorded teaching in Spring 2022, Spring 2023. 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 2026Schedule loads here as you scroll.
| Section | Mode | Enrolled / capacity | Waitlist |
|---|
Times are Central. Select a meeting for details; export includes recorded dates for the selected sections.
Meeting source records
No records available.
Student experience
the class
Historical reviews for MATH 567 show starkly different experiences depending on the instructor, ranging from highly praised engaging lectures to complaints about difficult exams and unclear grading.
Recent recorded grades — Spring 2024: 2.93 GPA, 28.6% A/AB (n=7 letter grades); Spring 2025: 3.23 GPA, 55.0% A/AB (n=20 letter grades); Spring 2026: 3.22 GPA, 68.8% A/AB (n=16 letter grades).
difficulty & workload
Historical reviews of Yousheng Shi: Reviewers describe the course as exam-heavy with difficult tests, requiring significant study and a strong background in abstract algebra.
Historical reviews of Daniel Erman, Dmytro Arinkin: Students found the class enjoyable and fun when taught by instructors who provided clear examples and made material approachable.
Topics
Skills
Grades
Latest available · Spring 2026— not enough history to project Fall 2026.
Grade distribution · % of letter grades
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
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.
Selected offering source records
No offering records for the selected term.
Raw records
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Student reviews
Original comments behind the course and instructor summaries.
Read original reviews
Grade history
Recorded grade distributions by term, section, and instructor.
Explore recorded gradesModel outputs & technical records
LLM outputs across runs
Full model traces
Recorded model configuration, reasoning, and tool conversations.
Model & dataset provenance
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