Research
My primary research interest revolves around the subconvexity problem of automorphic L-functions. My background in number theory is primarily analytic, but I also take interest in the algebraic aspects of automorphic forms and p-adic representations. Going forward I intend to expand my interest to include low-lying zeros of L-functions and random matrix theory. Please email me for a link to my research statement.
PUBLISHED at the journal of number theory
T. Gillespie, P. Samanta, Y. Ye, Double Square Moments and Bounds for Resonance Sums of Cusp Forms.
https://doi.org/10.1016/j.jnt.2022.11.012
Conference Presentations:
Double Square Moments & Bounds for Resonance Sums of Cusp Forms, AMS Contributed Paper Session in Number Theory and Field Theory I, Joint Mathematics Meetings, 2023
Double Square Moments and Bounds for Resonance Sums of Cusp Forms, Quebec-Maine Number Theory Conference, Laval University, October 2022
Double Square Moments and Bounds for Resonance Sums of Cusp Forms, Workshop on Moments of L-functions, University of Northern British Columbia, July 2022
Double Square Moments and Bounds for Resonance Sums of Cusp Forms, Texas-Oklahoma Representations and Automorphic forms, Oklahoma State University, April 2022
Double Square Moments & Bounds for Resonance Sums for Cusp Forms, MAA Allegheny Mountain Sectional (virtual) 2022
Double Square Moments & Bounds for Resonance Sums for Cusp Forms, 34th Automorphic Forms Workshop (virtual) 2022
Poster Presentation:
Double Square Moments & Bounds for Resonance Sums for Cusp Forms, TORA, Oklahoma State University, 2002
Picard’s Little Theorem, Conference on the Birch and Swinnerton-Dyer Conjecture, ICTS-TIFR, 2017
Research Talks at seminars:
All talks are between Fall 2017 - present at the University of Iowa
Bounds Towards Hypothesis S, Graduate and Undergraduate Students Seminar
Rankin Selberg Convolution, Representation Theory Seminar
n-Level Correlation of non-trivial Zeros of L-Functions, Representation Theory Seminar
Explicit Formula for L-Functions, Representation Theory Seminar