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

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

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
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.

Number Theory Web Seminar
Online. Spring 2020.

VaNTAGe
Online. Spring 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.