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)

Front Range Number Theory Day

University of Colorado (Online). September 26, 2020.

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.

Math Majors

- How to study math (comic)
- Some Guidelines for Good Mathematical Writing
- Research Experience for Undergraduates
- Budapest Semesters in Mathematics
- Math in Moscow

Graduate Students in Number Theory

- Advice for Ph.D. students in math
- Advice for potential graduate students in Arithmetic Geometry
- Arizona Winter School

Teaching Mathematics

Research in Number Theory