Contact

Email: justib8 AT uw DOT edu
Padelford Hall, C-552,
Department of Mathematics,
University of Washington.
Math Lab Hours: Wednesdays 2:30 - 4:30 (CMU B-006)

Research

I am an algebraist. I am mostly interested in representation theory, and homotopy theory for its connections with modular representation theory of finite group schemes through tensor-triangular geometry.

CV

Here

Preprints and publications

Families of Green rings for abelian restricted Lie algebras (Preprint, April 2025).
A tensor-triangular property for categories of representations of restricted Lie algebras (Preprint, December 2024).

Teaching

As of Spring 2025, I am a TA for Math 208.

Mathematics for fun

I've been thinking about math for much longer than I've been a PhD student. Below are some old projects.

Fractional calculus

In 2019 I made a submission to Dr. Peyam, a mathematician-youtuber, explaining my idea for a Fractional analogue of the Taylor-series, replacing the sum with an integral.

As of 2024 the video continues to be discovered by young mathematicians. If you have found my website from Dr. Peyam's video, welcome! I will answer any questions you have by email. I have received deep questions that required a long response before, I recommend you read it here.