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About me

I am a Robert Riley Visiting Assistant Professor at Binghamton University, SUNY, where I work with David Renfrew. Previously, I was a Burnett Meyer Visiting Assistant Professor at the University of Colorado Boulder, where I worked with Sean O'Rourke. I received my Ph.D. in Mathematics from the University of Virginia in 2023 under the supervision of Yen Do.

Research interests

My research focuses on random polynomials, an area at the intersection of probability, stochastic processes, analysis, and combinatorics. Random polynomials arise naturally in mathematical models involving randomness or noise, including differential and difference equations with random coefficients, partial differential equations with random initial data, and the spectral theory of random matrices. They also apply to numerical analysis, statistical regression, quantum chaos, communication systems, and mathematical physics.

A central theme of my research is the study of random roots, particularly the number and distribution of real zeros. These zeros form intricate random point processes whose behavior reflects the underlying structure of the polynomial ensemble. I study their variance, limiting distributions, and concentration properties across a broad range of random polynomial models.

My earlier research includes work in real and functional analysis, integral transforms, operational calculus, ordinary and partial differential equations, and operator theory.

Recent updates

• May 26, 2026: Yen Q. Do, Nhan D. V. Nguyen, and Sean O'Rourke, Real roots of non-centered random polynomials, 75 pages, 2026, submitted. [arXiv:2605.26402]