Research

My research is in extremal combinatorics and graph theory. I have particular interest in hypergraph theory, Ramsey-Turan numbers, cross intersecting set pair systems, and Ryser's Conjecture. I am also interested in topological methods in combinatorics.

Publications

10. A hypergraph analog of Dirac's Theorem for long cycles in 2-connected graphs, II: Large uniformities. with Alexandr Kostochka and Ruth Luo, submitted, arXiv:2310.13190, 2023.

9. A hypergraph analog of Dirac's Theorem for long cycles in 2-connected graphs. with Alexandr Kostochka and Ruth Luo, Combinatorica, 2024.

8. On a property of 2-connected graphs and Dirac's Theorem. with Alexandr Kostochka and Ruth Luo, submitted, arXiv:2212.06897, 2022.

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, submitted, 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.