Nicholas A Cook
Assistant Professor of Mathematics
Current Research Interests
Highdimensional probability: random matrix theory, random graph theory, large deviations theory. Related topics in combinatorics, functional analysis, partial differential equations, number theory and mathematical physics; applications in numerical analysis and data science.
Current Appointments & Affiliations
 Assistant Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2020
Contact Information
 120 Science Drive, Durham, NC 27708
 (919) 6602800
 #Website
 Google scholar profile
 arXiv page
 Background

Education, Training, & Certifications
 Ph.D., University of California  Los Angeles 2016

Duke Appointment History
 Scholar in Residence of Mathematics, Mathematics, Trinity College of Arts & Sciences 2020

Academic Positions Outside Duke
 NSF Postdoctoral Scholar, Stanford University. 2019
 Stein Fellow, Stanford University. 2019  2020
 NSF Assistant Adjunct Professor, University of California, Los Angeles. 2017  2018
 NSF Postdoctoral Scholar, Stanford University. 2016  2017
 Recognition

Awards & Honors
 Expertise

Subject Headings
 Research

Selected Grants
 RTG: Training Tomorrow's Workforce in Analysis and Applications awarded by National Science Foundation 2021  2026
 Publications & Artistic Works

Selected Publications

Academic Articles

Cook, N., and A. Dembo. “Large deviations of subgraph counts for sparse Erdős–Rényi graphs.” Advances in Mathematics, vol. 373, Oct. 2020. Scopus, doi:10.1016/j.aim.2020.107289.Full Text

Cook, N., and O. Zeitouni. “Maximum of the Characteristic Polynomial for a Random Permutation Matrix.” Communications on Pure and Applied Mathematics, vol. 73, no. 8, Aug. 2020, pp. 1660–731. Scopus, doi:10.1002/cpa.21899.Full Text

Cook, N. “The Circular Law for random regular digraphs.” Annales De L’Institut Henri Poincare (B) Probability and Statistics, vol. 55, no. 4, Jan. 2019, pp. 2111–67. Scopus, doi:10.1214/18AIHP943.Full Text

Cook, N. “Lower bounds for the smallest singular value of structured random matrices.” Annals of Probability, vol. 46, no. 6, Nov. 2018, pp. 3442–500. Scopus, doi:10.1214/17AOP1251.Full Text

Basak, A., et al. “Circular law for the sum of random permutation matrices.” Electronic Journal of Probability, vol. 23, Jan. 2018. Scopus, doi:10.1214/18EJP162.Full Text

Cook, N., et al. “Nonhermitian random matrices with a variance profile (I): Deterministic equivalents and limiting ESDs.” Electronic Journal of Probability, vol. 23, Jan. 2018. Scopus, doi:10.1214/18EJP230.Full Text

Cook, Nicholas, et al. “Size biased couplings and the spectral gap for random regular graphs.” The Annals of Probability, vol. 46, no. 1, Institute of Mathematical Statistics, Jan. 2018. Crossref, doi:10.1214/17aop1180.Full Text

Cook, N. “The circular law for random regular digraphs with random edge weights.” Random Matrices: Theory and Application, vol. 6, no. 3, July 2017. Scopus, doi:10.1142/S2010326317500125.Full Text

Cook, N. A. “On the singularity of adjacency matrices for random regular digraphs.” Probability Theory and Related Fields, vol. 167, no. 1–2, Feb. 2017, pp. 143–200. Scopus, doi:10.1007/s0044001506798.Full Text

Cook, N. A. “Discrepancy properties for random regular digraphs.” Random Structures and Algorithms, vol. 50, no. 1, Jan. 2017, pp. 23–58. Scopus, doi:10.1002/rsa.20643.Full Text

Cook, Nicholas A. Dense random regular digraphs: singularity of the adjacency matrix.Link to Item

Cook, Nicholas A., et al. NonHermitian random matrices with a variance profile (II): properties and examples.Link to Item

Cook, Nicholas A., et al. NonHermitian random matrices with a variance profile (I): Deterministic equivalents and limiting ESDs. Arxiv, doi:10.1214/18EJP230.Full Text Link to Item

Cook, Nicholas A., et al. Spectrum and pseudospectrum for quadratic polynomials in Ginibre matrices.Link to Item

Cook, Nicholas A., et al. Regularity method and large deviation principles for the ErdősRényi hypergraph.Link to Item

Cook, Nicholas A., et al. Universality of Poisson limits for moduli of roots of Kac polynomials.Link to Item

Cook, Nicholas A., and Hoi H. Nguyen. Universality of the minimum modulus for random trigonometric polynomials.Link to Item


 Teaching & Mentoring

Recent Courses
 Scholarly, Clinical, & Service Activities

Presentations & Appearances
 Large deviations and the regularity method for the Erdős–Rényi (hyper)graph. One World Probability Seminar. June 17, 2021 2021
 Regularity method and large deviation principles for the Erdős–Rényi hypergraph. Combinatorics seminar. University of Warwick. June 11, 2021 2021
 Universality for the minmodulus of random trigonometric polynomials. Probability Seminar. University of Chicago. April 2, 2021 2021
 Universality for the minimum modulus of random trigonometric polynomials. Probability and Analysis Webinar. March 1, 2021 2021
 Universality for the minimum modulus of random trigonometric polynomials. Probability Seminar. City University of New York. February 23, 2021 2021
 Universality for the minimum modulus of random trigonometric polynomials. Probability Seminar. University of Southern California. February 19, 2021 2021
 Universality for the minimum modulus of random trigonometric polynomials. Probability Seminar. Duke University. February 18, 2021 2021
 Universality for the minimum modulus of random trigonometric polynomials. Probability and the City Seminar. Columbia University & Courant Institute. January 22, 2021 2021
 The minimum modulus for random trigonometric polynomials. Probability seminar. University of British Columbia. November 2020 2020
 Branching Brownian motion and the roadfield model. Probability seminar. University of California, Berkeley. May 2020 2020
 A branching Brownian motion perspective on the RoadField Model. Applied Mathematics Seminar. Stanford University. February 2020 2020
 Sparse exponential random graphs. Centre International de Rencontres Mathématiques. January 2020 2020
 Convergence to Brown’s spectral measure for polynomials in Ginibre matrices. Latin American Congress of Probability and Mathematical Statistics. December 2019 2019
 Large Deviations for Sparse Erdos–Renyi Graphs. Advances in Asymptotic Probability in Honor of Amir Dembo's 60th Birthday . December 2018 2018
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