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