Teaching

Letters of Recommendation

If you are going to ask me for a letter of recommendation, read these instructions.

Recent Courses Taught

University of Wisconsin-Madison

• Spring 2025: Math 542, Modern Algebra.
• Fall 2024: Math 843, Representation Theory.
• Fall 2024: Math 341, Honors Linear Algebra.
• Spring 2024: Math 567, Modern Number Theory.
• Fall 2023: Math 340, Linear Algebra, sections 003 and 005.

Undergraduate Research

In Summer 2025, I led the MathILy-EST REU.

News: my students’ work has led to the following arXiv preprint:

Anthony Adams, Joshua Dorsam, Lily Levitsky, and Megan Mann. On Extending Type B Parking Spaces. arXiv:2601.18090

MathILy-EST 2025 after presenting their work at the 2026 JMM.

In Spring 2024, I ran a research project through the Madison Experimental Mathematics Lab. In Summer 2022, I was a research mentor at MathILy-EST.

Summer High School Programs

I was an apprentice instructor at MathILy, a summer program for mathematically enthused high school students, from 2017-2021. In 2019 and 2021, I also taught at MathILy-Er.

Josh leads a Daily Gather on Tutte’s Theorem on perfect 2-matchings at MathILy 2018.