Current Duke Appointments & Affiliations
Phillip Griffiths Assistant Research Professor of Mathematics
·
2026 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2026 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Scholarly Works
The VC-Dimension of Random Subsets of Finite Groups
Journal article Random Structures and Algorithms · August 1, 2026 For a random subset of a finite group (Formula presented.) of cardinality (Formula presented.), we consider the VC-dimension of the family of its translates (equivalently the VC-dimension of a random Cayley graph) and prove a law of large numbers as (Formu ... Full text CiteThe shifted convolution problem in function fields
Journal article Mathematische Annalen · May 1, 2026 We study the shifted convolution problem for the divisor function in function fields in the large degree limit, that is, the average value of d(f)d(f+h) where f runs over monic polynomials in Fq[T] of a given degree, and h is a given monic polynomial. We p ... Full text CiteThe fourth moment of the Hurwitz zeta function
Journal article Journal Fur Die Reine Und Angewandte Mathematik · January 1, 2025 We prove a sharp upper bound for the fourth moment of the Hurwitz zeta function ζ (s, α) on the critical line when the shift parameter α is irrational and of irrationality exponent strictly less than 3. As a consequence, we determine the order of magnitude ... Full text CiteEducation
University of Rochester ·
2026
Ph.D.