Jacob Urisman ORCID Google Scholar

he/him/his email

A picture of me wearing a Tokyo 2020 Olympic Gold medal

Image taken in 2024.
Medal belongs to Lee Kiefer.
I interviewed her and Gerek Meinhardt.

I am a second-year Ph.D. student in the CS theory group at the University of Colorado Boulder advised by Dr. Joshua Grochow. I am interested in applications of algebra to complexity theory. This includes algebraic models of computation, geometric complexity theory, arithmetic circuits, tensors and matrix multiplication, algebraic combinatorics, polynomial computation, and algebraic proof systems.

Currently, I am thinking about the tensor isomorphism problem under the lens of representation theory and algebraic geometry.

Publications

Papers

Graph Isomorphism and Representation Theory
J. A. Grochow, J. Urisman
ECCC TR26-106, June 2026
arXiv:2606.26244 [cs.CC, cs.DS, math.CO, math.RT], June 2026

Theses

Representation Theory of Graph Isomorphism (2025)
Master's Thesis
Numerical Semigroups and the Cayley Semigroup Membership Problem (2023)
Honors Undergraduate Thesis

Talks

Representation Theory of Graph Isomorphism
University of Cambridge, Algorithms and Complexity Seminar, June 2026

Teaching

University of Colorado Boulder

University of Massachusetts Amherst

About Me

I am originally from San Francisco.

My Erdős number is 3. Paul Erdős → László Babai → Joshua Grochow → me.

My main hobby is fencing. I started fencing foil in high school in late 2015. During my time at UMass, I was a member of the UMass Fencing Club and was a foil captain for two and a half years. During that time, I also trained at Halberstadt, GSFA, and PVFA. I am currently a member of the CU Boulder Fencing Club where I am also the travel safety officer.