Clayton Mizgerd

me

I'm a third year PhD candidate in mathematics at the University of Illinois Chicago. I am advised by Vishesh Jain and Dhruv Mubayi. Before that, I got my B.A. in mathematics from Williams College. My research interests are generally in probability and combinatorics with applications in theoretical computer science. For spring 2025, I am grateful to be supported as an IDEAL fellow.

I am co-organizing UIC's Graduate Combinatorics, Algorithms, and Probability Seminar (GCAPS) for 2024-25. We meet on Mondays at 4pm. Please email me if you would like to speak or to be added to the existing email list. I am co-organizing the 2026 edition of the Graduate Student Combinatorics Conference.

Papers

  1. Rapid mixing of the down-up walk on matchings, with Vishesh Jain. Appeared in proceedings of APPROX/RANDOM 2024. arXiv
  2. Inducibility of rainbow graphs, with Emily Cairncross, Dhruv Mubayi. Submitted. arXiv
  3. Indeterminate cases of the Hamburger moment problem. Undergraduate senior thesis. link
  4. Critical points of the random cluster model with Newman-Ziff sampling, with Tolson Bell, Jerrell Cockerham, Christian Scullard, Melita Wiles. Appeared in Journal of Physics A: Mathematical and Theoretical. arXiv
  5. Generalizing Zeckendorf's theorem to homogeneous linear recurrences II, with Thomas Martinez, Steven J. Miller, Jack Murphy, Chenyang Sun. Appeared in Fibonacci Quarterly. arXiv
  6. Generalizing Zeckendorf's theorem to homogeneous linear recurrences I, with Thomas Martinez, Steven J. Miller, Chenyang Sun. Appeared in Fibonacci Quarterly. arXiv
  7. Deterministic Zeckendorf games, with Ruoci Li, Xiaonan Li, Steven J. Miller, Chenyang Sun, Dong Xia, Zhyi Zhou. Appeared in Fibonacci Quarterly. arXiv

Teaching

My office hours are listed on the MSLC website.