Presentations
October 6, 2021, Rowan University Department of Mathematics Colloquium, "p-adic Valuations of Quadratic Sequences"
September 22, 2021, Penn State Student Number Theory Seminar, "p-adic Valuations of Quadratic Sequences"
August 7, 2021, MathFest MAA Student Paper Sessions, "p-adic Valuation Trees of Quadratic Polynomials"
July 23, 2021, Ursinus College Summer Fellows Symposium, "p-adic Valuation Trees of Quadratic Polynomials"
Poster Sessions
February 17, 2025, Penn State Center for Computational Mathematics and Applications Poster Session, "A Method for Solving Systems of Hamilton-Jacobi Equations"
Publications
Abdul Hassen, Driss Drissi, Emily Hammett, and Quyn Ulrich. "Hypergeometric Polynomials and Numbers of Higher Order." Houston Journal of Mathematics. Vol. 48, No. 2, 2022, pp. 369–394.
Preprints
Will Boultinghouse, Emily Hammett, Stephen Hu, Olena Kozhushkina, Rachel Snyder, and Justin Trulen. "p-adic Valuations of Quadratic Sequences." https://arxiv.org/abs/2309.16637.
Conferences
I attended the SIAM New York-New Jersey-Pennsylvania (NNP) conference at Pennsylvania State University on October 31–November 2, 2025.
I attended the Workshop on Scientific Computing and Machine Learning hosted by the Center for Computational and Applied Mathematics at Pennsylvania State University on November 2–3, 2025.
Research Interests
During my undergraduate studies, my primary interest was number theory, specifically analytic number theory. I have worked on two main projects in analytic number theory, one regarding generalizations of the Bernoulli and Euler polynomials and numbers, and one regarding p-adic sequences.
I am now interested in numerical analysis. I am working on a project that involves applying numerical methods to Hamilton-Jacobi partial differential equations.
Research History
Summer 2023–Present: This project involves applying numerical methods to Hamilton-Jacobi partial differential equations.
Advisors: Dr. Kenneth Czuprynski, Penn State University; Dr. Ludmil Zikatanov, Penn State University
Summer 2021: As part of a Research Experience for Undergraduates (REU), I did research with three other students. We researched p-adic valuations of quadratic sequences and examined the connections between the polynomials and the corresponding tree representations.
Advisors: Dr. Olena Kozhushkina, Ursinus College; Dr. Justin Trulen, Kentucky Wesleyan University
Fall 2019–Spring 2021: I did research with one other student. We worked on generalizing the Bernoulli and Euler polynomials and numbers.
Advisor: Dr. Abdulkadir Hassen, Rowan University
Spring 2020: As part of a course under the Preparation for Industrial Careers in Mathematics (PIC Math) program, I did research with four other students. We researched brain stroke detection using microwave imaging. This work involved partial differential equations and numerical techniques for their solution.
Advisor: Dr. Thanh Nguyen, Rowan University