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Nicholas A Cook

Assistant Professor of Mathematics
Mathematics
120 Science Drive, Durham, NC 27708

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 Cite

REGULARITY 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 Cite

Universality 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 Cite
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Recent Grants


RTG: Training Tomorrow's Workforce in Analysis and Applications

Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2026

Large Deviations and Extremes for Random Matrices, Tensors, and Fields

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2022 - 2025

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Education, Training & Certifications


University of California, Los Angeles · 2016 Ph.D.