Clayton Mizgerd
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
- Inducibility of rainbow graphs, with Emily Cairncross, Dhruv Mubayi. Submitted.
- Rapid mixing of the down-up walk on matchings, with Vishesh Jain. Submitted.
- Indeterminate cases of the Hamburger moment problem. Undergraduate senior thesis.
- Critical points of the random cluster model with Newman-Ziff sampling, with Tolson Bell, Jerrell Cockerham, Christian Scullard, Melita Wiles.
- Generalizing Zeckendorf's theorem to homogeneous linear recurrences II, with Thomas Martinez, Steven J. Miller, Jack Murphy, Chenyang Sun.
- Generalizing Zeckendorf's theorem to homogeneous linear recurrences I, with Thomas Martinez, Steven J. Miller, Chenyang Sun.
- 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.
- Summer 2024 - Instructor for UIC's Young Scholar's Program
- Fall 2023 - MATH 110 College Algebra
- Summer 2023 - MATH 417 Complex Analysis
- Spring 2023 - MATH 125 Elementary Linear Algebra for Business
- Fall 2022 - MATH 125 Elementary Linear Algebra for Business