Current Appointments & Affiliations
Assistant Professor of Mathematics
·
2023 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Professor of Computer Science
·
2023 - Present
Computer Science,
Trinity College of Arts & Sciences
Recent Publications
Extremal number of cliques of given orders in graphs with a forbidden clique minor
Journal Article Journal of the London Mathematical Society · December 1, 2025 Alon and Shikhelman initiated the systematic study of a generalization of the extremal function. Motivated by algorithmic applications, the study of the extremal function (Formula presented.), that is, the number of cliques of order (Formula presented.) in ... Full text CiteCommon graphs with arbitrary chromatic number
Journal Article Compositio Mathematica · July 3, 2025 Ramsey’s theorem guarantees for every graph H that any 2-edge-coloring of a sufficiently large complete graph contains a monochromatic copy of H. In 1962, Erdős conjectured that the random 2-edge-coloring minimizes the number of monochromatic copies of K Full text CiteUndecidability of Polynomial Inequalities in Tournaments
Journal Article International Mathematics Research Notices · June 1, 2025 Many fundamental problems in extremal combinatorics are equivalent to proving certain polynomial inequalities in graph homomorphism densities. In 2011, a breakthrough result by Hatami and Norine showed that it is undecidable to verify polynomial inequaliti ... Full text CiteRecent Grants
Extremal Combinatorics: Themes and Challenging Problems
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2023 - 2028On Regularity Methods and Applications in Graph Theory
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2020 - 2024View All Grants
Education
Stanford University ·
2023
Ph.D.
Princeton University ·
2019
Ph.D.