SUNY Polytechnic Institute was proudly represented at the recent Hudson River Undergraduate Mathematics Conference (HRUMC), where Associate Professor of Mathematics Dr. Andrea Dziubek and SUNY Poly students Chawn Neal and Connor Donovan delivered engaging presentations and enjoyed a day immersed in mathematical exploration and academic exchange.

Students appreciated the opportunity to share their work with peers and faculty, gaining valuable experience through giving talks, attending insightful sessions—including a standout panel on Careers and Life After a Math Major—and networking with students and faculty from other institutions. Exposure to diverse mathematical topics and approaches deepened their appreciation of the field.

Dr. Dziubek presented on the historical and evolving role of tensor analysis, explaining how it initially became the language of elasticity, fluid dynamics, and electromagnetism. She expects that exterior calculus will likely replace it in the future. This theme is actively explored with students (NA, CD, BM, CN, DN) in advanced courses such as MAT 423: Vector and Tensor Analysis and MAT 491: Independent Study.

Two SUNY Poly students also presented original research:

•    Chawn Neal, under the supervision of Dr. Shing Chi Leung, shared his project on the dynamical response of neutron stars to radial perturbations. Starting from Einstein’s Field Equations, he derived the relevant equations, implemented them numerically, and presented findings on instability thresholds in realistic stellar models.

•    Connor Donovan, mentored by Dr. Amir Fariborz, presented her research on fundamental quantum states. She derived analytical solutions to the time-independent Schrödinger equation, solved complex nonlinear equations numerically, and demonstrated how the structure and depth of a one-dimensional potential well influence energy quantization and wave function behavior.

The conference offered a vibrant platform for SUNY Poly students to engage with the broader mathematics community, affirming their place in the continuum of innovation and discovery in the mathematical sciences.