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
Undecidability of polynomial inequalities in weighted graph homomorphism densities
Journal Article Forum of Mathematics, Sigma · March 18, 2024 Many problems and conjectures in extremal combinatorics concern polynomial inequalities between homomorphism densities of graphs where we allow edges to have real weights. Using the theory of graph limits, we can equivalently evaluate polynomial expression ... Full text CiteAn Asymptotically Sharp Bound on the Maximum Number of Independent Transversals
Journal Article Electronic Journal of Combinatorics · January 1, 2024 Let G be a multipartite graph with partition V1, V2, …, Vk of V (G). Let di,j denote the edge density of the pair (Vi, Vj). An independent transversal is an independent set of G with exactly one vertex in each Vi . In this paper, we prove an asymptotically ... Full text CiteOn the Asymptotic Confirmation of the Faudree–Lehel Conjecture for General Graphs
Journal Article Combinatorica · August 1, 2023 Given a simple graph G, the irregularity strength of G, denoted by s(G), is the least positive integer k such that there is a weight assignment on edges f: E(G) → { 1 , 2 , ⋯ , k} attributing distinct weighted degrees: f~ (v) : = ∑ u:{u,v}∈E(G)f({ u, v}) t ... 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, Training & Certifications
Stanford University ·
2023
Ph.D.
Princeton University ·
2019
Ph.D.