Current Appointments & Affiliations
Assistant Professor of Mathematics
·
2020 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
TYPICAL STRUCTURE OF SPARSE EXPONENTIAL RANDOM GRAPH MODELS
Journal Article Annals of Applied Probability · June 1, 2024 We consider general exponential random graph models (ERGMs) where the sufficient statistics are functions of homomorphism counts for a fixed collection of simple graphs Fk. Whereas previous work has shown a degeneracy phenomenon in dense ERGMs, we show thi ... Full text CiteREGULARITY METHOD AND LARGE DEVIATION PRINCIPLES FOR THE ERDŐS–RÉNYI HYPERGRAPH
Journal Article Duke Mathematical Journal · April 1, 2024 We develop a quantitative large deviations theory for random hypergraphs, which rests on tensor decomposition and counting lemmas under a novel family of cut-type norms. As our main application, we obtain sharp asymptotics for joint upper and lower tails o ... Full text CiteUniversality of Poisson Limits for Moduli of Roots of Kac Polynomials
Journal Article International Mathematics Research Notices · April 1, 2023 We give a new proof of a recent resolution [18] by Michelen and Sahasrabudhe of a conjecture of Shepp and Vanderbei [19] that the moduli of roots of Gaussian Kac polynomials of degree $n$, centered at $1$ and rescaled by $n^2$, should form a Poisson point ... Full text CiteRecent Grants
RTG: Training Tomorrow's Workforce in Analysis and Applications
Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2026Large Deviations and Extremes for Random Matrices, Tensors, and Fields
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2022 - 2025View All Grants
Education, Training & Certifications
University of California, Los Angeles ·
2016
Ph.D.