- (with Jon Keating, Edva Roditty-Gershon, and Zeev Rudnick)
*Sums of divisor functions in \(\mathbb{F}_q[t]\) and matrix integrals.*Preprint. [arXiv] *Tail bounds for counts of zeros and eigenvalues, and an application to ratios.*Preprint. [arXiv]- (with Kenneth Maples)
*Bootstrapped zero density estimates and a central limit theorem for the zeros of the zeta function.*To appear, IJNT. [arXiv] *The covariance of almost-primes in \( \mathbb{F}_q[T]\).*To appear, IMRN. [arXiv] [Journal]*Arithmetic consequences of the GUE conjecture for zeta zeros.*Preprint. [PDF]*A central limit theorem for the zeroes of the zeta function.*Int. J. Number Theory. (2014) 10 (2): 483-511. [arXiv] [Journal] [Corrections to published version: pdf]*Macroscopic pair correlation of the Riemann zeroes for smooth test functions.*Quart. J. Math. (2013) 64 (4): 1197-1219. [arXiv] [Journal]*The statistics of the zeros of the Riemann zeta-function and related topics.*Ph.D. Thesis, University of California, Los Angeles. (2013) 228pp. [Link]

- The distribution of primes and almost-primes in short intervals. [Slides]
- The strong Szegő theorem in random matrix theory and number theory. [Slides]
- Statistics of the zeta zeros: mesoscopic and macroscopic phenomena. [Slides] [Video]

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