I am a postdoc of Mikołaj Frączyk at the Dioscuri Center "Random Walks in Geometry and Topology" at the Jagiellonian University in Krakow, Poland.

I completed my Ph.D. in the math department at UW-Madison under the supervision of Andrew Zimmer and Sebastian Hurtado-Salazar. Prior to studying in Madison, I was an undergrad at the University of Chicago. 

Here is a copy of my CV.

Note: I believe artificial intelligence (AI) is very harmful to mathematics and the mathematical community. Consequently, I do not, nor do I plan to, use AI in any form in my mathematical works. This beautiful blog post of Hugo Duminil-Copin describes many of the concerns I have with the use of artificial intelligence in mathematics.

Papers:

5. Growth gaps and generating sets (joint with Gal Yehuda)

Preprint, 11 pages.

4. Zariski density of discrete subgroups via critical exponents and unitary representations 

Submitted, 15 pages.   

3. Rigidity of proper holomorphic maps between balls with Hölder boundary regularity (joint with Kyle Huang, Jinwoo Park, Jaan Amla Srimurthy, Andrew Zimmer, and Rou Wen)

Submitted, 20 pages. MXM project!

2. Asymptotically large free semigroups in Zariski dense discrete subgroups of Lie groups

Submitted, 39 pages.

1. Free semigroups of large critical exponent

Journal of Topology, Vol. 19 (2026), no. 3, Paper No. e70087, (47 pages).

Mathematical Interests:

My mathematical interests are in geometry and dynamics, particularly discrete subgroups of higher rank Lie groups. Recently, I have been especially interested in understanding asymptotic properties of discrete subgroups of Lie groups and the representation theory of semisimple Lie groups.

Other:

My thesis (essentially a combination of papers (1) and (2) above).