Graduate Students and Postdocs

Current Graduate Students:

1. Jena Gregory (PhD expected May 2026)

Dissertation Title: Cranks Witnessing Congruences of a Sum of Partition Functions. 

2. Abigail Martinez (MS Expected Spring 2026)

Research: TBD

Current Postdocs:

3. Runqiao Li (Position at UTRGV 2025-2028)

PhD 2025: Pennsylvania State University. Advised by George Andrews and Ae Ja Yee.

Google Scholar Page

Previous PhD Students:

1. Joselyne Aniceto (PhD May 2025)

Dissertation Title: Infinite families of Consecutive Congruences in Arithmetic Progression for the coefficients of Gaussian Polynomials and Crank Statistics. 

First Job: Visiting Assistant Professor at College of the Holy Cross, Worcester, MA.  

Previous MS Students:

2. Jacob Gutierrez (MS 2024)

Thesis Title: A Combinatorial Proof of Supercranks for Partitions with a Fixed Number of Parts 

3. Paul Marsh (MS 2024)

Thesis Title: Quasipolynomials and the Unimodality of Gaussian Polynomials

4. Jena Gregory (MS 2022)

Thesis Title: Iterated Rascal triangles. 

5. Joselyne Aniceto (MS 2021)

Thesis Title: Revisiting Gupta's "A Technique in Partitions". 

6. Arturo Martinez (MS 2019)

Thesis Title: Quasipolynomials and maximal coefficients of Gaussian polynomials

7. Acadia Larsen (MS 2018)

Thesis Title: A generalization of partition identities for first differences of partitions n into at most m parts

Current Position: Ph.D. student, UC Davis, Applied mathematics.

8. Kayleen Loch (MS 2018)

Project Title: The geometry of coefficients of Gaussian polynomials

9. Carlos Flores (MS 2017)

Project Title: Closed-Term Formula for the coefficients of the Quasipolynomial for Partitions into a Fixed Number of Parts.

Noteable Undergraduate Research Students:

10. Emily Payne (BS 2024)
    Paper: A generalization of Franklin’s partition identity and a Beck-type companion identity. The Ramanujan Journal, 67(100), July, 2025.
    Notes: Emily is now a PhD student at Oregon State University working with Holly Swisher.

11. Alessandra Martinez (BS 2026)
    Presentation: Cranks for a Linear Combination of partition numbers.
    Notes: Alessandra was awarded 1st place in the category of "Engineering, Physics, Math & Computer Science” for her poster and presentation at the University of Texas System-Wide Louis Stokes Association for Minority Participation (LSAMP) Conference at UT El Paso, August, 2023.

12. Joseph Schmidt (BS  2021)
    Paper: A bijection between the set of odd numbers under the accelerated Collatz function and the set of odd numbers. The Pi Mu Epsilon Journal, 2019.
    Notes: Joseph is now a PhD student in physics at University of Texas Austin.

Noteable High School Research Students:

13. David Hovey 
    Paper: A generalization of Franklin’s partition identity and a Beck-type companion identity. The Ramanujan Journal, 67(100), July, 2025.
    Notes: David was awarded best “Discrete Math Presentation” at the Texas MAA Sectional Spring 2023 for his talk A Generalization of Euler’s “Distinct = Odd” Partition Identity. David is now an undergraduate student at Princeton University.

14. Lydia Engle
    Paper: Congruences for consecutive coefficients of Gaussian polynomials with crank statistics. Electronic J. Combinatorics, 29(4):P4.38, 2022.
    Notes: At the January 2020 MAA Undergraduate Research Poster Competition at the Joint Mathematics Meetings held in Denver, CO, Lydia’s poster Partitions, Cranks, Gaussian Polynomials and Geometry, was awarded “Outstanding Poster."  Lydia graduated from the University of Minnesota.