Teaching

Spring 2025:

• Math 542, Modern Algebra. MWF 12:05-12:55.
  • Text: Dummit and Foote.

Fall 2024:

• Math 843, Representation Theory. TR 9:30-10:45.
  • Preliminary course description: Representation theory of the symmetric groups. Representations of compact groups and their Lie algebras. Schur-Weyl duality. Modular representation theory: Brauer characters, blocks, decomposition numbers (time permitting).
• Math 341, Honors Linear Algebra. TR 11:00-12:15.

Recent Past

University of Wisconsin-Madison

• Spring 2024: Math 567, Modern Number Theory. TR 11:00-12:15.
• Fall 2023: Math 340, Linear Algebra, sections 003 and 005.

Summer

In Summer 2025, I will be leading the MathILy-EST REU, pending funding from the NSF.

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. In 2022, I was a research mentor at MathILy-EST.

Josh during Topological Graph Theory at MathILy 2017. Josh leads a Daily Gather on Tutte’s Theorem on perfect 2-matchings at MathILy 2018.