My research is primarily in extremal combinatorics and graph theory. I have particular interest in hypergraph theory, Ramsey theory, and topological methods in combinatorics.
13. A topological product Tverberg Theorem, with Andreas F. Holmsen, Daniel McGinnis, and Shira Zerbib, Proceedings of the AMS, in press, arXiv:2412.16055, 2025.
12. Chip games and multipartite graph paintability, with Peter Bradshaw, Tianyue Cao*, Atlas Chen*, Braden Dean*, Siyu Gan*, Ramon I. Garcia, Amit Krishnaiyer*, and Arvind Murty*, submitted, arXiv: 2411.19462, 2024.
11. Online Ramsey numbers of ordered graphs, with Emily Heath, Dylan King, Hannah Sheats, and Justin Wisby, submitted, arXiv:2409.01917, 2024.
10. A hypergraph analog of Dirac's Theorem for long cycles in 2-connected graphs, II: Large uniformities. with Alexandr Kostochka and Ruth Luo, Electronic Journal of Combinatorics, 32(1), P1.31, 2025.Â
9. A hypergraph analog of Dirac's Theorem for long cycles in 2-connected graphs. with Alexandr Kostochka and Ruth Luo, Combinatorica, 44, pp. 849-800, 2024.
8. On a property of 2-connected graphs and Dirac's Theorem. with Alexandr Kostochka and Ruth Luo, Discrete Mathematics, 347(11), 114153, 2024.
7. Minimum degree ensuring that a hypergraph is hamiltonian-connected. with Alexandr Kostochka and Ruth Luo, European Journal of Combinatorics, 114, 103782, 2023.
6. Ramsey-Turan problems with small independence numbers. with Jozsef Balogh, Ce Chen, and Cassie Murley, European Journal of Combinatorics, 118, 103872, 2024.
5. Dirac's Theorem for hamiltonian Berge cycles in uniform hypergraphs. with Alexandr Kostochka and Ruth Luo, Journal of Combinatorial Theory, Series B., 168, pp. 159-191, 2024.
4. Linear bounds for cycle-free saturation games. with Sean English, Tomas Masarik, Erin Meger, Michael S. Ross, and Sam Spiro, Electronic Journal of Combinatorics, 29(3), P3.5, 2022.
3. Low diameter monochromatic covers of complete multipartite graphs. with Sean English, Connor Mattes, and Michael Phillips, Journal of Combinatorics, 15(2), pp. 139-157, 2024.
2. On sizes of 1-cross intersecting set pair systems. with Alexandr V. Kostochka and Mina Nahvi, Siberian Mathematical Journal, 62(5), 842-849, 2021.
1. Generalizations and strengthenings of Ryser's conjecture. with Louis DeBiasio, Yigal Kamel*, and Hannah Sheats*, Electronic Journal of Combinatorics, 28(4), P4.37, 2021.