My research interests lie primarily in extremal combinatorics, but I keep my brain open for any interesting math problems. My Erdős number is 2.
Preprints
Off-diagonal Ramsey number for slowly growing hypergraphs. (with Sam Mattheus, Dhruv Mubayi and Jacques Verstraëte) Submitted. (arxiv)
On odd covers of cliques and disjoint unions. (with Calum Buchanan, Alexander Clifton, Eric Culver, Peter Frankl, Kenta Ozeki, Puck Rombach, and Mei Yin). Submitted. (arxiv)
Random Turán Problems for Hypergraph Expansions. (with Sam Spiro). Submitted. (arxiv)
Sidorenko Hypergraphs and Random Turán Numbers. (with Sam Spiro). Submitted. (arxiv)
Random Turán and counting results for general position sets over finite fields (with Yaobin Chen, Xizhi Liu, and Ji Zeng). Submitted. (arxiv)
Random Turán theorem for expansions of spanning subgraphs of tight trees. Submitted. (arxiv)
Publications
Turán theorems for even cycles in random hypergraph. Journal of Combinatorial Theory, Series B 167 (2024): 23-54. (journal) (arxiv)
On asymptotic local Turán problems (with Peter Frankl). The Moscow Journal of Combinatorics and Number Theory, 2023, 12(4): 273-286. (journal) (arxiv)
On asymptotic packing of convex geometric and ordered graphs (with Erlang Surya, and Ji Zeng). Journal of Graph Theory (2023), 1–15. (journal) (arxiv)
Odd Covers of Graphs. (with Calum Buchanan, Alexander Clifton, Eric Culver, Jason O'Neill, Puck Rombach, and Mei Yin). Journal of Graph Theory (2023), 104: 420–439. (journal) (arxiv)
On Turán numbers for disconnected hypergraphs (with Raffaella Mulas). Acta Mathematica Hungarica 170, 168–182 (2023). (journal) (arxiv)
On Asymptotic Packing of Geometric Graphs. (with Daniel Cranston, Jacques Verstraëte, and Alexandra Wesolek). Discrete Applied Mathematics 322 (2022): 142-152. (journal) (arxiv)
Maximal Independent Sets in Clique-free Graphs. (with Xiaoyu He and Sam Spiro). European Journal of Combinatorics 106 (2022): 103575. (journal) (arxiv)
Ramsey Numbers for Non-trivial Berge Cycles. (with Jacques Verstraëte). SIAM Journal on Discrete Mathematics 36.1 (2022): 103-113. (journal) (arxiv)
Triangle-free Subgraphs of Hypergraphs. (with Sam Spiro and Jacques Verstraëte). Graphs and Combinatorics 37 (2021): 2555-2570. (journal) (arxiv)
Randomized greedy algorithm for independent sets in regular uniform hypergraphs with large girth. (with Jacques Verstraëte). Random Structures & Algorithms 59.1 (2021): 79-95. (journal) (arxiv)
Teaching
As instructor:
MATH 3012 - Applied Combinatorics, Fall 2024, at GaTech.
Graph Theory, Fall 2023, at Fudan.
MATH 20C - Calculus & Analytic Geometry For Science & Engineering, Summer I 2021, at UCSD.
As teaching assistant at UCSD:
MATH 154 - Discrete Math & Graph Theory, Winter 2022, Winter 2021, Fall 2020, Spring 2020, Winter 2020.
MATH 20E - Vector Calculus, Summer II 2020.
MATH 170A - Introduction to Numerical Analysis: Linear Algebra, Fall 2019, Fall 2018.
MATH 220C - Complex Analysis, Spring 2019.
MATH 18 - Linear Algebra, Spring 2019.
MATH 170B - Introduction to Numerical Analysis: Approximation and Nonlinear Equations, Winter 2019.
MATH 142A - Introduction to Analysis I, Summer I 2018.
MATH 184A - Combinatorics, Spring 2018, Winter 2018, Fall 2017.
MATH 20B - Calculus For Science & Engineering, Winter 2017.
MATH 20A - Calculus For Science & Engineering, Fall 2016.
Miscellaneous
Outside of math, I love playing and watching basketball.