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 2026 at 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. 

Personal Declaration: 

I believe artificial intelligence (AI) is very harmful to mathematics, the mathematical community, and humanity as a whole. Out of love for mathematics and the mathematical community, I have never used AI in any form in my mathematical works, nor will I ever do so. Furthermore, I do not and will not use AI in my personal life. I have no desire to delegate my birthright of independent thought to a machine, nor do I have any desire to use the products of people who have, repeatedly, shown a complete lack of care for both the mathematical community and the broader world. This beautiful blog post of Hugo Duminil-Copin describes many of the concerns I have with the use of artificial intelligence in mathematics. I also wholeheartedly agree with this wonderful blog post of Jonny Evans.

I am a member of the Association for Human Mathematics and of its AI-free caucus.  

Papers:

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

Submitted, 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)

Journal of the London Mathematical Society, to appear, 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).