My current research areas are extremal and probabilistic combinatorics. My past research projects span topics in discrete and finite field geometry, combinatorial number theory, and constraint satisfaction problems. 

Links to my papers and slides for those I've given talks on can be found below. The papers in the first two sections below can also be found on my Google Scholar page.

Publications

“VC-dimension of hyperplanes over finite fields,” Graphs and Combinatorics, vol. 41, 15 Mar. 2025. With L. Betti, J. Cheigh, A. Iosevich, R. Jeong, X. Liu, B. McDonald, W. Milgrim, S. J. Miller, F. Romero Acosta, and S. Velazquez Iannuzzelli. Link

“VC-dimension and distance chains in 𝔽𝑞𝑑,” Korean Journal of Mathematics, vol. 32 no. 1, 30 Mar. 2024. With L. Betti, J. Cheigh, A. Iosevich, R. Jeong, X. Liu, B. McDonald, W. Milgrim, S. J. Miller, F. Romero Acosta, and S. Velazquez Iannuzzelli. Link; Slides

“Distinct angles and angle chains in three dimensions,” Discrete Mathematics & Theoretical Computer Science, vol. 25 no. 1, 27 Feb. 2023. With L. Betti, J. Lehmann Duke, X. Liu, W. Milgrim, S. J. Miller, E. A. Palsson, F. Romero Acosta, and S. Velazquez Iannuzzelli. Link; Slides; Poster

“Online conversion of reconstructed neural morphologies into standardized SWC format,” Nature Communications, vol. 14 no. 7429, 16 Nov. 2023. With K. Mehta, B. Ljungquist, J. Ogden, S. Nanda, L. Ng, and G. A. Ascoli. Link

“Limitations of Richardson extrapolation for kernel density estimation,” SIAM Undergraduate Research Online, vol. 12, June 2019. Advisor: Tyrus Berry. Link; Slides

Preprints

"Almost all graphs are vertex-minor universal," to appear in RANDOM 2026. With B. Frederickson, S. Frederickson, C. McFarland, and L. Post. arXiv link

"Polynomial-to-exponential transition in 3-uniform Ramsey numbers." With X. He and H. Yu. arXiv link; Slides

"Rational values of the weak saturation limit." With X. He. arXiv link; Slides

“Sum and difference sets in generalized dihedral groups,” to appear in Springer Proceedings in Mathematics and Statistics. With J. Cheigh, G. Z. Dantas e Moura, R. Jeong, A. Keisling, A. Lilly, S. J. Miller, P. Ngamlamai, and M. Phang. arXiv link; Slides

Expository Work and Miscellaneous

"Approximations and Heuristics for the Capacitated Facility Location Problem." With W. Frendreiss. Final project for ISYE7687 Advanced Integer Programming, completed in April 2026, no intent to publish. Link; Slides

"Hypergraph containers: a gentle introduction." With X. Du and X. Li. Final project for MATH7018 Combinatorics, completed in April 2025, no intent to publish. Link

"Efficient computation of partition numbers and Bell numbers: an exposition." Final project for MATH7012 Enumerative Combinatorics, completed in December 2024, no intent to publish. Link; Slides

“Random k-NAE: Satisfying a Proportion of Clauses and an Algorithmic Barrier.” Undergraduate senior thesis, completed in May 2023 under the guidance of Allan Sly. Link; full pdf available upon request.