Current Appointments & Affiliations
Professor of Mathematics
·
2020 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
Counting integral points in thin sets of type II: singularities, sieves, and stratification
Preprint · May 16, 2025 Link to item CiteA guide to Tauberian theorems for arithmetic applications
Preprint · April 22, 2025 Link to item CiteGENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS
Journal Article Journal of the Institute of Mathematics of Jussieu · November 1, 2024 We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Hardy-Li ... Full text CiteRecent Grants
RTG: Linked via L-functions: training versatile researchers across number theory
Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2023 - 2028Class Groups, Character Sums, and Oscillatory Integrals
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2022 - 2025Investigations in the intersection of number theory and harmonic analysis
ResearchPrincipal Investigator · Awarded by Simons Foundation · 2024 - 2024View All Grants
Education, Training & Certifications
Princeton University ·
2009
Ph.D.
Oxford University (United Kingdom) ·
2004
M.Sc.
Princeton University ·
2002
B.A.