There are several ways that Vietnamese people pronounce my first name, and one of them sounds like "On". Fun fact: Nguyen is the most common last name in Vietnam.
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Hi! Xin chào!
I'm a Vietnamese mathematician, currently an assistant professor in the Division of Applied Mathematics at Brown University.
You can reach me at oanh_nguyen1 at brown dot edu
Office: Room 325, 182 George Street
Research interests
Research interests
I am excited about Math, especially things related to Analysis and Probability. Some of my interests include point processes, random polynomials, universality phenomenon for random structures, random graphs, stochastic processes, epidemic processes, and optimal transports.
Teaching
Teaching
I have been teaching the following courses at Brown. If you are interested in getting a copy of the course materials, feel free to let me know.
Undergraduate/Graduate course on Recent applications of Probability and Statistics (APMA 1740/2610)
Graduate Probability I (APMA 2630)
Graduate course: Introduction to random graphs (APMA 2812H)
Undergraduate course on random graphs and stochastic processes on random graphs (APMA 1860)
Publications
Publications
Optimal bound for survival time of the SIRS process on star graphs (with graduate student Phuc Lam and high-school student Iris Yang), arxiv preprint arxiv:2412.21138, 2024. [pdf][abs]
We resolve a conjecture regarding the upper bound of the survival time for the SIRS epidemic model on star graphs and establish a corresponding matching lower bound. This result provides a precise characterization of the survival time at the immediate neighbors of high-degree vertices, serving as one of the foundational steps toward understanding the behavior of the process on larger graph structures.
Roots of random trigonometric polynomials with general dependent coefficients (with Jürgen Angst and Guillaume Poly), arxiv preprint arxiv:2409.15057, 2024. [pdf][abs]
We introduce an elegant proof for, to the best of our knowledge, the first result of random polynomials in non-Gaussian dependent context. Our proof highlights the robustness of real zeros, even in the presence of dependencies. These findings bring the behavior of random polynomials closer to real-world models, where dependencies between coefficients are common.
The number of limit cycles bifurcating from a randomly perturbed center (with Manjunath Krishnapur and Erik Lundberg), accepted at The Annals of Probability. [pdf][abs]
Subcritical epidemics on random graphs (with Allan Sly), Advances in Mathematics 462 (2025) 110102. [pdf]
Hole radii for the Kac polynomials and derivatives (with Hoi Nguyen), Stochastic Processes and their Applications (2024):104386. [pdf]
Central Limit Theorem for the number of real roots of random orthogonal polynomials (with Yen Do, Hoi Nguyen and Igor Pritsker), Annales de l'Institut Henri Poincaré 60(03), 2024, 2211-2240. [pdf]
Concentration inequalities for the number of real zeros of Kac polynomials (with Van Hao Can), Electronic Journal of Probability 30, 2025, 1-23. [pdf]
Real roots of random orthogonal polynomials with exponential weights (with Yen Do, Doron Lubinsky, Hoi Nguyen, and Igor Pritsker), arxiv preprint arxiv:2212.14544, 2022. [pdf][abs]
Random orthonormal polynomials: universality and expected number of real roots (with Yen Do and Van Vu), Transactions of the American Mathematical Society 376(09), 2023, 6215-6243. [pdf][abs]
Random trigonometric polynomials: universality and non-universality of the variance for the number of real roots (with Yen Do and Hoi Nguyen), Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 58(03), 2022, 1460-1504. [pdf]
Roots of random functions: a framework for local universality (with Van Vu), American Journal of Mathematics 144(01), 2022, 1-74. [pdf]
Critical value asymptotics for the contact process on random graphs (with Danny Nam and Allan Sly), Transactions of the American Mathematical Society 375(06), 2022, 3899-3967. [pdf]
The full spectrum of random walks on complete finite d-ary trees (with Evita Nestoridi), Electronic Journal of Probability 26, 2021, 1-17. [pdf]
Random polynomials: central limit theorems for the real roots (with Van Vu), Duke Math Journal 170(17), 2021, 3745-3813. [pdf]
Survival and extinction of epidemics on random graphs with general degrees (with Shankar Bhamidi, Danny Nam and Allan Sly), The Annals of Probability 49(01), 2021, 244-286. [pdf]
Random eigenfunctions on flat tori: universality for the number of intersections (with Mei-Chu Chang, Hoi Nguyen and Van Vu), International Mathematics Research Notices, 2020(24), 2020, 9933-9973. [pdf]
On the mixing time of the Diaconis-Gangolli random walk on contingency tables over Z/qZ (with Evita Nestoridi), Annales de l’Institut Henri Poincaré - Probabilités et Statistiques 56(2), 2020, 983–1001. [pdf]
Roots of random polynomials with coefficients of polynomial growth (with Yen Do and Van Vu), The Annals of Probability 46(05), 2018, 2407–2494. [pdf]
Embedding large graphs into a random graph (with Asaf Ferber and Kyle Luh), Bulletin of the London Mathematical Society 49(05), 2017, 784–797. [pdf]
Packing loose Hamilton cycles (with Asaf Ferber, Kyle Luh and Daniel Montealegre), Combinatorics, Probability and Computing 26(06), 2017, 839-849. [pdf]
On the number of real roots of random polynomials (with Hoi Nguyen and Van Vu), Communications in Contemporary Mathematics 18(04), 2016, 1550052. [pdf]
Anti-concentration for polynomials of independent random variables and applications in complexity theory (with Raghu Meka and Van Vu), Theory of Computing 12(11), 2016, 1-17. [pdf]
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