# Eric Moss

I am doing a PhD in mathematics at Boston College working with Solomon Friedberg.

I love algorithms and computation. I'm in my element when I'm deep in a hands-on problem and when I'm helping others learn.

### Recent Updates:

Mar 7, 2024 - Veritasium (one of my favorite YouTube channels) posted a video on odd perfect numbers, and showed one of my papers on screen! Paper appears at 25 minutes in.

Jan 30, 2024 - Gave a talk on Google DeepMind's AlphaGeometry. Here are the slides.

Jan 19, 2024 - First commit to GitHub! Here is my working version of the C++ code for my PhD Thesis. Will be continually updated, of course.

Jan 17, 2024 - First day teaching Math 4453 Euclid's Elements at Boston College (for the 3rd time).

Dec 24, 2023 - Went skiing ⛷️ for the second time ever. It went great and I'll be back for sure!

Nov 25, 2023 - Wrote a Research Statement . It is a summary of what will be my PhD thesis.

### Contact and Social

My email is eric [dot] moss [at] bc [dot] edu

# CV

## Education

Boston College

PhD Mathematics

Advisor: Solomon Friedberg

Expected 2024

Brigham Young University

MS Mathematics

Advisor: Paul Jenkins

August 2018

Brigham Young University

BS Mathematics, Magna Cum Laude

Minors: Computer Science, Physics

April 2017

## Publications

Computing Bianchi-Maass Forms for Class Number 1 Non-Euclidean Rings, PhD Thesis, Expected 2024, see summary in my research statement)

Odd, spoof perfect factorizations (2020) BYU Computational Number Theory Group

Quanta article: Mathematicians Open a New Front on an Ancient Number Problem

Veritasium video: The Oldest Unsolved Problem in Math (paper appears at 25 minutes in)

Congruences for Fourier Coefficients of Modular Functions of Levels 2 and 4 (2018) Master's Thesis

Congruences for coefficients of level 2 modular functions with poles at 0 (2017) Joint with Paul Jenkins and Ryan Keck

## Teaching

### Instructor

BC, Math 4453, Euclid's Elements, Fall 2020, Fall 2022, and Spring 2024

BC, Math 1180, Principles of Statistics for the Health Sciences, Spring 2021 and Spring 2022

BC, Math 1100, Calculus 1, Fall 2021

BC, Math 1101, Calculus 2, Summer Session II 2019 and Spring 2020

BYU, Math 112, Calculus 1, Spring 2018

### TA

BC, Math 1180, Principles of Statistics for the Health Sciences, Spring 2023

BC, Math 2202, Multivariable Calculus, Fall 2019

BC, Math 1100, Calculus 1, Fall 2018 and Spring 2019

BYU, Math 290, Fundamentals of Mathematics, Winter 2018

BYU, Math 341, Theory of Analysis 1, Winter 2018

BYU, Math 112, Calculus 1, Fall 2017

BYU, Math 341, Theory of Analysis 1, Summer 2017

BYU, Math 487, Number Theory, Winter 2017

## Programming

C++ (includes experience with the libraries OpenMP, Arb, Eigen, MPFR, MPFI)

Python/SageMath

Java

C#

Mathematica

slurm

## Awards and Recognitions

Donald J. White Excellence In Teaching Award, Boston College, 2022

Donald J. White Excellence In Teaching Award, Boston College, 2020

Outstanding Undergraduate Researcher, Brigham Young University, 2016-2017

Outstanding Performance in Mathematics, Brigham Young University, 2016-2017

Best Undergraduate Presenter in Session (with Ryan Keck), Student Research Conference, Brigham Young University, March 2017

Outstanding Performance in Mathematics, Brigham Young University, 2015-2016

Outstanding Performance in Mathematics, Brigham Young University, 2011-2012

## Talks

Computing Bianchi-Maass Forms, BYU Number Theory Seminar, Brigham Young University, 30 November, 2023

Computing Bianchi-Maass Forms, Maine-Québec Number Theory Conference, University of Maine, 1 October, 2023

Computing Bianchi-Maass Forms (lightning talk), LMFDB, Computation, and Number Theory (LuCaNT), ICERM - Brown, 13 July, 2023

Congruences for Fourier coefficients of modular functions of levels 2 and 4, Building Bridges: 4th EU/US Summer School + Workshop on Automorphic Forms and Related Topics, Alfréd Rényi Institute of Mathematics, 18 July, 2018

Congruences for coefficients of level 2 modular functions with poles at 0, 32nd Automorphic Forms Workshop, Tufts University, 19 March, 2018

Congruences for coefficients of level 2 modular functions with poles at 0 (speed talk), Modular Forms Are Everywhere, Max Planck Institute for Mathematics, 26 May, 2017

Congruences of modular forms in level 2 with poles at 0 (speed talk), 31st Automorphic Forms Workshop, Eastern Tennessee State University, 7 March, 2017

### Local Talks

Google DeepMind's AlphaGeometry, Experimental Math & Machine Learning Lab (ExpMMLL), Boston College, 30 January, 2024

Fundamental Domains and Arithmetic, Graduate Student Seminar, Boston College, 13 October, 2023

The Queen of Mathematics: A History of Number Theory, Graduate Student Seminar, Boston College, 3 March, 2023

Linear Algebra is the Only Thing I Know, Graduate Student Seminar, Boston College, 2 September, 2022

Computing Automorphic Forms, Graduate Student Seminar, Boston College, 18 February, 2022

The Inverse Galois Problem and PGL_2(Z/nZ) (also some number theory), Graduate Student Seminar, Boston College, 1 October, 2021

Why modular forms?, Graduate Student Seminar, Boston College, 12 March, 2021

Spoof Odd Perfect Numbers, Graduate Student Seminar, Boston College, 6 November, 2020

What is class field theory?, Graduate Student Seminar, Boston College, 1 May, 2020

Congruences for Coefficients of Weakly Holomorphic Modular Forms in Level 2, Graduate Student Seminar, Boston College, 4 October, 2019

What is algebraic number theory? and What is class field theory?, Algebra Seminar, Brigham Young University, 3 and 17 April, 2018

Congruences for coefficients of level 2 modular functions with poles at 0, Student Research Conference, Brigham Young University, 3 March, 2018

Abundance and deficiency computations with spoof odd perfect numbers, Computational Number Theory Seminar, Brigham Young University, 26 November, 2017

Computing ranks of elliptic curves by hand, Computational Number Theory Seminar, Brigham Young University, 23 March, 2017

Congruences of modular forms in level 2 with poles at 0, Student Research Conference, Brigham Young University, 4 March, 2017

Independence of Points on Elliptic Curves, Computational Number Theory Seminar, Brigham Young University, 10 November, 2016

Finding Elliptic Curves of High Rank by Computing Solutions Over Finite Fields, Computational Number Theory Seminar, Brigham Young University, 22 September, 2016

Generalizing the Miura-Ori and Mars Origami Patterns, Student Research Conference, Brigham Young University, 19 March, 2016

## Service

Developing Exemplary Mathematics Educators for High-Need Schools: Content, Equity and Leadership, Graduate Student Mentor, Boston College Spring 2022 - Spring 2023

Math Graduate Student Association, Vice President, Boston College, 2021-2022

Math Graduate Student Association, Secretary, Boston College, 2020-2021

Math Circles, Presenter, Brigham Young University, 2017-2018

Math GRE Boot Camp, Organizer and Instructor, Brigham Young University, 2017-2018

Graduate Student Council, Math Department, Brigham Young University, 2017-2018

## Conferences Attended

Maine-Québec Number Theory Conference, University of Maine, 30 September-1 October, 2023

LMFDB, Computation, and Number Theory (LuCaNT), ICERM, 10-14 July, 2023

Building Bridges: 4th EU/US Summer School + Workshop on Automorphic Forms and Related Topics, Alfréd Réyni Institute of Mathematics, 9-14 and 16-20 July, 2018

Automorphic forms on reductive groups and their covers: A conference in honour of Solomon Friedberg, FIM - Institute for Mathematical Research, 25-28 June, 2018

32nd Automorphic Forms Workshop and Graduate Workshop, Tufts University, 18-22 March, 2018

Modular Forms are Everywhere Summer School and Conference, Max Planck Institute for Mathematics, 15-19 and 22-26 May, 2017

31st Automorphic Forms Workshop, Eastern Tennessee State University, 6-9 March, 2017

Connecticut Summer School in Number Theory and CTNT 2016 Research Conference on Elliptic Curves, Modular Forms, and Related Topics, University of Connecticut, 8-14 August, 2016

The picture in the header is of Pine Valley Mountain in Zion National Park.