Research Directions
· Combinatorial Graph Theory
· Extremal and Random Graph Theory, Additive Combinatorics
Publications and Monographs:
1) Unavoidable hypergraphs - Unavoidable hypergraphs - 2021
2) A proof of Frankl's conjecture on cross-union families - A proof of Frankl's conjecture on cross-union families - 2023
3) Majority dynamics on sparse random graphs - Majority dynamics on sparse random graphs - 2023
4) Erdos-Szekeres theorem for multidimensional arrays - Erdos-Szekeres theorem for multidimensional arrays - 2023
5) Maximal 3-Wise Intersecting Families - Maximal 3-Wise Intersecting Families - 2023
6) Dense induced bipartite subgraphs in triangle-free graphs - Dense induced bipartite subgraphs in triangle-free graphs - 2020
7) Exponential decay of intersection volume with applications on list-decodability and Gilbert-Varshamov type bound - Exponential decay of intersection volume with applications on list-decodability and Gilbert-Varshamov type bound - 2022