I am a Ph.D. candidate in pure mathematics at the University of Illinois at Chicago. My research is in number theory, under the supervision of Nathan Jones. More specifically, I work on theoretical and computational problems related to the arithmetic of elliptic curves and abelian varieties.

Email: jmayle2@uic.edu

Office: 730 SEO

*Curious Squares*

Joint with Neelima Borade. Preprint (2020).

*Rigidity in Elliptic Curve Local-Global Principles*

Preprint (2020).

*A Bound for the Image Conductor of a Principally Polarized Abelian Variety with Open Galois Image*

Preprint (2020).

* The Asymptotic Distribution of a Hybrid Arithmetic Function*

Joint with Sarah Manski and Nate Zbacnick. INTEGERS, Vol 15 (2015) A28.

MSCS TA Coordinator (Fall 2020)

SEMW Coordinator (Summer 2020)

MSCS TA Coordinator (Spring 2020)

MATH 210: Calculus III (TA - Fall 2019)

MATH 110: College Algebra (TA - Fall 2019)

MATH 110: College Algebra (Instructor - Summer 2019)

MATH 180: Calculus I (TA - Spring 2019)

MATH 180: Calculus I (TA - Fall 2018)

MATH 121: Precalculus (TA - Summer 2018)

MATH 180: Calculus I (TA - Spring 2018)

MATH 180: Calculus I (TA - Fall 2017)

MATH 180: Calculus I (TA - Spring 2017)

MATH 181: Calculus II (TA - Fall 2016)

Chicago Number Theory Day 2020

University of Illinois at Chicago (Online). June 20, 2020.

Connecticut Summer School in Number Theory Conference

University of Connecticut (Online). June 12-14, 2020.

Workshop on Arithmetic Geometry, Number Theory, and Computation

ICERM, Brown University (Online). June 1-5, 2020.

Front Range Number Theory Day

University of Colorado (Online). April 25, 2020.

Arizona Winter School 2020: Nonabelian Chabauty

University of Arizona. March 7 - March 11, 2020.

Chicago Symposium 2020: Excellence in Teaching Mathematics and Science

University of Illinois at Chicago. February 21, 2020.

CMI-HIMR Summer School in Computational Number Theory

University of Bristol. June 17 - June 28, 2019.

Arithmetic of Low-Dimensional Abelian Varieties

ICERM, Brown University. June 3 - June 7, 2019.

Pop-up Conference in Number Theory

University of Illinois at Chicago. November 2 - November 4, 2018.

Arithmetic Geometry, Number Theory, and Computation

Massachusetts Institute of Technology. August 20 - August 24, 2018.

Summer Seminar on Primes of the Form x^2 + ny^2

University of Illinois at Chicago. Summer 2018.

Summer REU on Representation Theory

Sam Houston State University. Summer 2015.

MAA Seaway Meeting

Buffalo State University. April 25 - April 26, 2014.

Summer REU on Analytic Number Theory

Kent State University. Summer 2014.