# Teaching

## Future

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.

## Present

Spring 2024: Math 567, *Modern Number Theory*. TR 11:00-12:15.

## Recent Past

### University of Wisconsin-Madison

- 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.*