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This is the homepage of Chi Hoi Yip. 

You can call me Kyle :)

About

I am currently a Hale Visiting Assistant Professor at School of Math in Georgia Institute of Technology (Georgia Tech). My mentor is Ernie Croot. 

My Erdős number is 3.

Education

I obtained my PhD in Mathematics from University of British Columbia (UBC) in July 2024 under the supervision of Greg Martin, Jozsef 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. 

Research Interests: Number theory and Combinatorics. 

I am primarily interested in arithmetic combinatorics, analytic number theory, finite fields, and finite geometry. I am also interested in algebraic graph theory, arithmetic geometry, Diophantine approximation, Diophantine equations, extremal combinatorics, fractal geometry, matrix analysis, and metric number theory.

Some keywords of my research: 

additive decomposition, algebraic methods in combinatorics, blocking set, Cayley graph, character sum, cyclotomy, difference basis, direction set, distribution modulo one, Diophantine tuple, Erdős similarity problem, Erdős-Ko-Rado theorem, Euclidean Ramsey theory, Hilbert cubes, Hilton-Milner theorem, hypersurfaces over finite field, intersective sets,  Linnik's theorem, Möbius function, multiplicative decomposition, Paley graph, Peisert graph, perfect powers, polynomials over finite fields, positivity preserver, powerfree numbers, powerful numbers, prime number race, primitive root, projective plane, quadratic residue, quasi-random (hyper)graphs, restricted sumset, root separation, sieve methods, shifted powers, subset sums, sum-product estimates, VC dimension.

Teaching

I am teaching Math 2603 (Introduction to Discrete Math) this term.

Contact

You can contact me via e-mail at cyip30@gatech.edu or kyleyip111@gmail.com .