This is the homepage of Chi Hoi Yip.
You can call me Kyle.
I am currently a Hale Visiting Assistant Professor at School of Math in Georgia Institute of Technology (Georgia Tech). My mentor is Ernie Croot.
Starting fall 2026, I will be joining Department of Math at Hong Kong University of Science and Technology (HKUST) as a tenure-track assistant professor.
I am currently recruiting self-motivated PhD/Master students. If you’re interested in working with me, please feel free to email me.
I obtained my PhD in Mathematics from University of British Columbia (UBC) in July 2024 under the supervision of Greg Martin, József Solymosi, and Joshua Zahl. The title of my thesis is Topics in arithmetic combinatorics.
I completed my Msc in Mathematics in UBC in Jan 2021. The title of my thesis is On the clique number of Paley graphs and generalized Paley graphs. Previously, I completed my B.Sc. in Mathematics and in Computer Science at Hong Kong University of Science and Technology (HKUST) in June 2019.
My research is centered at arithmetic combinatorics, as well as its rich applications and/or connections with analytic number theory, extremal combinatorics, finite fields, and finite geometry. I am also broadly interested in other areas in number theory and combinatorics as well their neighboring subjects, and have done research projects in algebraic graph theory, arithmetic geometry, coding theory, design theory, Diophantine approximation, Diophantine equations, discrete geometry, harmonic analysis, and matrix analysis.
On an Erdős similarity problem in the large (with Xiang Gao and Yuveshen Mooroogen). Bull. Lond. Math. Soc. 57 (2025), no. 6, 1801-1818. arxiv, journal
Uniform set systems with small VC-dimension (with Ting-Wei Chao, Zixiang Xu, and Shengtong Zhang). Int. Math. Res. Not. IMRN 2025, no. 17, Paper No. rnaf269, 20 pp. arxiv, journal
Multiplicative irreducibility of small perturbations of the set of shifted k-th powers. Combinatorica 46 (2026), no. 1, Paper No. 1, 8pp. arxiv, journal
Restricted sumsets in multiplicative subgroups. Canad. J. Math., to appear. arxiv, journal
Oscillation results for the summatory functions of fake mu's (with Greg Martin). Canad. J. Math., to appear. arxiv, journal
Diophantine tuples and product sets in shifted powers (with Ernie Croot). J. Lond. Math. Soc., to appear. arxiv
Hypersurfaces passing through the Galois orbit of a point (with Shamil Asgarli and Jonathan Love). Submitted, arxiv
An inverse theorem on sets with rich additive structure modulo primes (with Ernie Croot and Junzhe Mao). Submitted, arxiv
A complete list of my publications can be found here.
2026 Spring: MATH2603 (Introduction to Discrete Mathematics) Two sections
2025 Fall: MATH3012 (Applied Combinatorics)
2025 Spring: MATH2603 (Introduction to Discrete Mathematics)
2024 Fall: MATH3012 (Applied Combinatorics)
2025 CMS (Canadian Mathematical Society) Blair Spearman Doctoral Prize.
You can contact me via e-mail at cyip30@gatech.edu.