Gilyoung Cheong

  I am a PhD candidate in the Department of Mathematics at the University of Michigan. My advisor is Michael Zieve. Here is my CV.

  My research involves statistics of various algebraic objects. For example, I am interested in distributions of numbers of points on random curves over a finite field, cokernels of random p-adic matrices, and lengths of cycles in random permutations. In the language of schemes in algebraic geometry, all such distributions, as well as many other ones in literature, admit some "independence phenomena" over closed points of a base scheme, which provides a major theme of my current research. Various tools from other fields such as analytic number theory, combinatorics, and probability theory can also come into play, on top of algebraic methods. I do not classify myself in a single field, and I can work with any mathematician with some common ground!

• gcheong at umich.edu
• East Hall 5080

• Large q convergence of random characteristic polynomials to random permutations and its applications, with Hayan Nam, and Myungjun Yu, submitted. (Preprint available upon request.)
• Cohen-Lenstra distributions via random matrices over complete discrete valuation rings with finite residue fields, with Yifeng Huang, submitted, arxiv preprint.
• Weighted distribution of points on cyclic covers of the projective line over finite fields, Finite Fields and Their Applications 57 (2019), p. 29-46. old arxiv preprint
• The distribution of points on superelliptic curves over finite fields, with Melanie Matchett Wood and Azeem Zaman, Proceedings of the American Mathematical Society 143 (2015) p. 1365-1375. old arxiv preprint.

• University of Michigan Combinatorics Seminar (September 6, 2019)
• University of California--Irvine Number Theory Seminar (March 7, 2019)

• God's dice: This is my learning blog.
• GMAT Math Made Easy: I am writing a free textbook for GMAT Quantitative Reasoning (Math) section.
• Calculus in Practice: Notes for Math 116 (Fall 2019, Section 024) at the University of Michigan.