I'm a mathematics PhD student at the University of Illinois.

My research is on modular forms and mock theta functions.

My PhD advisor is Scott Ahlgren, and my MS thesis advisor was Nick Andersen.

I also co-organize the Graduate Number Theory Seminar at UIUC.

Selected work

2. Hecke Relations for Eta Multipliers and Congruences of Crank and Rank Moments. Submitted, 2024. [arXiv]

1. An Infinite Family of Vector-Valued Mock Theta Functions, with Nick Andersen. The Ramanujan Journal, June 2023. [arXiv] [journal]

1a. Vector-Valued Mock Theta Functions. Master's Thesis, BYU Department of Mathematics, 2022. (This result is greatly strengthened and simplified in 1 above). [pdf]

0. Magnetic Field Modulation Toward Particle Accelerator RF Source Replacement. Journal of the Utah Academy of Sciences, Arts, and Letters, page 249 ff, 2019. [journal]

Conference Talks

2. An Infinite Family of Vector-Valued Mock Theta Functions, Joint Mathematics Meeting AMS Special Session on Mock Modular Forms, Physics, and Applications, January 2024.

2a. 35th Automorphic Forms Workshop, May 2023.

1. The Fractal Dimension of Product Sets. Utah Academy of Sciences, Arts, and Letters. March 2021. [pdf]

0. Magnetic Field Modulation Toward Particle Accelerator RF Source Replacement. Utah Academy of Sciences, Arts, and Letters, March 2019.

Academics

Doctorate in progress, University of Illinois at Urbana-Champaign, Mathematics
- Supported by teaching/research assistantship
Master's Degree, Brigham Young University, Mathematics, 2022
- Supported by teaching/research assistantship
Bachelor's Degree, Utah Valley University, Mathematics and Physics, 2020
- Honors:
  - NSF research grant and scholarship (2019-2020)
  - Veteran's Success Center merit based scholarship (2017)

Teaching

University of Illinois at Urbana-Champaign
- I have been asked to write a letter of recommendation for a student every semester I've been at UIUC.
- Research Mentorship
  - IGL Project Mentor Modular Curves Summer 2023
- Regular Teaching Duties
  - Teaching Assistant Calculus II (231) Spring 2024
  - Head Teaching Assistant Calculus I (221) Fall 2023
  - Teaching Assistant Calculus III (241) Spring 2023
  - Teaching Assistant Calculus I (221) Fall 2022
Brigham Young University
- Instructor, Calculus I (112) Spring 2022
- Teaching Assistant, Abstract Algebra I (371), Winter 2022
- Teaching Assistant, Graduate Topology 1 (553), Fall 2021
- Instructor, Finite Mathematics (118) Spring 2021
- Teaching Assistant, Calculus II (113) Winter 2021
Utah Valley University
- Teaching Assistant, Mathematical Physics I (3300) Spring 2020
- Teaching Assistant, Complex Analysis (3210) Fall 2019
- Substitute Lecturer, Physics for Scientists and Engineers II (2220) Spring 2019
- Teaching Assistant, Introduction to Experimental Physics (3115) Fall-Spring 2018

Seminar Talks

8. Hecke Relations for Eisenstein-Eta Quotients and Congruences for Crank and Rank Moments. UIUC Graduate Student Number Theory Seminar. September 2021.

7. Theta Lifts of Modular Forms. UIUC Graduate Student Number Theory Seminar. February 2023.

6. Zwegers' Landmark Thesis. UIUC Graduate Student Number Theory Seminar. November 2022.

5. Mock Theta Functions and the Weil Representation. Brigham Young University Student Research Conference. March 2022. [pdf]

4. Ramanujan's Mock Theta Functions and the Weil Representation. Brigham Young University Number Theory Seminar. November 2021. [pdf]

3. Relating Ramanujan's 5th Order Mock Theta Functions to Modular Forms. Brigham Young University Student Research Conference. February 2021. [pdf]

2. Goldfeld-Gross-Zagier Effective Lower Bound for h(d). Brigham Young University Number Theory Seminar. November 2020. [pdf]

1. The Lie Algebra of Conserved Quantum Observables. Utah Valley University. UVU Mathematics Department Senior Presentation, April 2019.

0. Magnetic Field Modulation Toward Particle Accelerator RF Source Replacement.

Jefferson Lab LLC. JLAB Summer Research Poster Session, August 2018.

Utah Valley University. UVU Physics Department Seminar, January 2019.

Get in touch

[first initial] [last initial] 78 [at] illinois [dot] edu

(format is to confuse web scrapers)