Teaching

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).
  • Text: TBA
• 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.

Madison Experimental Mathematics Lab

In Spring 2024, I am running a research project through the Madison Experimental Mathematics Lab.

Summer

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.