Overview
Automorphic representations and arithmetic geometry.
Current Duke Appointments & Affiliations
Professor of Mathematics
·
2025 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Scholarly Works
Triple product $L$-functions and the Ramanujan conjecture
Preprint · September 17, 2025 Link to item CiteSCHUBERT EISENSTEIN SERIES AND POISSON SUMMATION FOR SCHUBERT VARIETIES
Journal article American Journal of Mathematics · June 1, 2025 Schubert Eisenstein series are defined by restricting the summation in a degenerate Eisenstein series to a particular Schubert variety. In the case of GL3 over ℚ Bump and the first author proved that these Schubert Eisenstein series have meromor ... Full text CiteSummation formulae for quadrics
Journal article Selecta Mathematica New Series · April 1, 2025 We prove a Poisson summation formula for the zero locus of a quadratic form in an even number of variables with no assumption on the support of the functions involved. The key novelty in the formula is that all “boundary terms” are given either by constant ... 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 - 2029Splicing summation formulae and triple product L-functions
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2024 - 2027Summation Formulae and Triple Product L-functions in Higher Rank
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2019 - 2023View All Grants
Education
University of Wisconsin, Madison ·
2007
Ph.D.
University of Wisconsin, Madison ·
2006
M.A.
Harvard University ·
2004
A.B.