Research
Research
Current research interests include number theory, arithmetic geometry, elliptic curves, and Galois representations. My thesis, with advisor Álvaro Lozano-Robledo, focuses on classifying torsion subgroups of elliptic curves over function fields of genus zero and one. Recently, I have become interested in torsion subgroups of elliptic curves over function fields of hyperelliptic curves, and with this, bounding the gonality of certain families of modular curves.
Thesis
PhD Thesis: Torsion Subgroups of Ellitpic Curves over Function Fields
Research Articles
Torsion Subgroups of Elliptic Curves over Function Fields of Genus 0 , in JNT
Torsion Subgroups of Elliptic Curves over Function Fields of Genus 1
Talks Given
SEMINAR TALKS
Undergraduate Math Club Talk, University of Connecticut, March 11, 2020
Number Theory Seminar, Wesleyan University, November 22, 2019
Five College Number Theory Seminar, University of Connecticut, March 5, 2019
Algebra Seminar, University of Connecticut, November 28, 2018
Number Theory Seminar, Boston University, December 11, 2017
SIGMA Seminar, University of Connecticut, April 1, 2017
Undergraduate Math Club Talk, University of Connecticut
CONFERENCE TALKS
AMS Sectional Meeting, April 14, 2019
2019 Joint Math Meetings, January 19, 2019
2018 Automorphic Forms Workshop, Tufts University, March 20, 2018
Maine-Québec Number Theory Conference, University of Maine
Conferences Attended
Connecticut Summer School in Number Theory - Research Conference
June 2020, online, University of Connecticut, Storrs, CT
Cross Atlantic Representation Theory and Other topics ONline (CARTOON)
May 2020, online
1148th AMS Sectional Meeting
April 2019, University of Connecticut Hartford, Hartford, CT
Northeast Consortium for Quantitative Literacy XXII Meeting
March 2019, Bay Path University, Longmeadow, MA
2019 Joint Math Meetings
January 2019, Baltimore, MD
Connecticut Summer School in Number Theory (CTNT)
May 2018, University of Connecticut, Storrs, CT
Automorphic Forms Workshop
March 2018, Tufts University, Boston, MA
Arizona Winter School: Iwasawa Theory
March 2018, University of Arizona, Tucson, AZ
Maine-Québec Number Theory
October 2017, University of Maine, Orono, ME
MSRI Summer School: Automorphic Forms and Langlands Program
July/August 2017, MSRI, Berkeley, CA
Seventh Upstate New York Number Theory Conference
May 2017, Binghamton University, Binghamton, NY
Arizona Winter School: Perfectoid Spaces
March 2017, University of Arizona, Tucson, AZ
Connecticut Summer School in Number Theory
August 2016, University of Connecticut, Storrs, CT
Arizona Winter School: Arithmetic Geometry
March 2016, University of Arizona, Tucson, AZ
BU/Keio University Workshop 2015
September 2015, Boston University, Boston, MA
Elliptic Curves @ UConn
May 2014, University of Connecticut, Storrs, CT
Advanced Technological Education (ATE) 2013 Conference
Fall 2013American Association of Community Colleges, Washington DC