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.

I am co-organizing UIC's Graduate Student Combinatorics, Algorithms, and Probability Seminar (GCAPS) for 2024-25, and am co-organizing the 2026 edition of the Graduate Student Combinatorics Conference.

Papers

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

Teaching

My office hours are listed on the MSLC website.