Jacob Mayle

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.

Curriculum Vitae

Email: jmayle2@uic.edu
Office: 730 SEO

Papers

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.

Teaching

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)

Conferences

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.