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At Hurd Orchards
I am an Associate Professor of Mathematics at William & Mary. My primary research area is Number Theory. My work focuses on the Riemann Hypothesis and, more broadly, on the theory of the Riemann zeta-function and L-functions, as well as their connections to Prime Number Theory, Random Matrix Theory, Geometric Function Theory, and Combinatorics.
I received my PhD in mathematics from the University of Rochester in 2017, under the supervision of Prof. Steve Gonek. After that, I was a Postdoctoral Fellow in the Department of Pure Mathematics at the University of Waterloo, where I worked with Prof. Michael Rubinstein. I joined William & Mary as an Assistant Professor of Mathematics in 2019 and was promoted to tenured Associate Professor in 2025.
Journal publications:
Journal publications:
17. Real moments of the logarithmic derivative of characteristic polynomials in random matrix ensembles pdf. Indiana Univ. Math. J.
16. On the logarithmic derivative of characteristic polynomials for random unitary matrices pdf. Bull. Lond. Math. Soc.
15. Critical points of polynomials with roots on the unit circle (with S. M. Gonek) pdf. Int. Math. Res. Not. IMRN
14. Mean values of the logarithmic derivative of the Riemann zeta-function near the critical line pdf. Mathematika
13. A combinatorial identity and the finite dual of infinite dihedral group algebra (with G. Liu) pdf. Mathematika
12. Solution to the index conjecture in zero-sum theory pdf. J. Combin. Theory Ser. A.
11. The mean square discrepancy in the divisor problem (with S. M. Gonek) pdf. Trans. Amer. Math. Soc.
10. Note on the number of zeros of zeta^(k)(s) (with A. Suriajaya) pdf. Ramanujan J.
9. The number of zeros of L’(s,χ) pdf. Acta Arith.
8. Some multidimensional integrals in number theory and connections with the Painleve V equation (with E. Basor and M.O. Rubinstein) pdf. J. Math. Phys.
7. On the index conjecture in zero-sum theory: singular case pdf. Int. J. Number Theory
6. The distribution of zeros of ζ'(s) and gaps between zeros of ζ(s) pdf. Adv. Math.
5. The number of zeros of ζ'(s) pdf. Int. Math. Res. Not. IMRN
4. On a permutation problem for finite abelian groups (with Z-W. Sun) pdf. Electron. J. Combin.
3. Conditional estimates on small distances between ordinates of zeros of ζ(s) and ζ'(s) pdf. J. Number Theory
2. Note on the index conjecture in zero-sum theory and its connection to a Dedekind-type sum pdf. J. Number Theory
1. On some universal sums of generalized polygonal numbers (with Z-W. Sun) pdf. Colloq. Math.
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