Curriculum Vitae

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

• Calculus 1 - 5 terms

  • BC, Math 1102, Calculus 1 (Mathematics / Science Majors), Fall 2024

  • BC, Math 1100, Calculus 1, Fall 2021, Fall 2024, Spring 2025

  • BYU, Math 112, Calculus 1, Spring 2018

• Euclid's Elements - 3 terms

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

• Statistics for Nursing Majors - 2 terms

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

• Calculus 2 - 2 terms

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

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.