top of page

Mathematics

I am currently a second-year graduate student in Mathematics at the Pennsylvania State University with hopes of obtaining a PhD. 

​

I achieved bachelor degrees in both Physics and Mathematics as an undergraduate at Penn State, with honors in Mathematics through the Schreyer Honors College. As a sophomore, I participated in my first semester with MASS, an advanced semester of mathematical courses hosted by Penn State faculty that focuses on three unique subjects within Analysis, Algebra, and Geometry. I graduated with distinction from that program, as well as with a Best Project Presentation in Algebra and Best Overall Performance. The following year, I returned to taking a course on Elliptic Functions and Curves in the MASS program, again achieving the Best Project in Algebra. You can view my two projects in Algebra in the list of PDFs below.

​

In 2018, I participated in the Auburn University Mathematics REU, where I developed an alternative means of classifying and identifying algebraic groups based on their achievement sets and achieving sets. These two notions were inspired by the work of R. Jones on Achievement Sets of Sequences over the reals. See PDF below.

​

I completed an undergraduate honors thesis under the guidance of Dr. Sergei Tabachnikov, who introduced the notion of Symplectic Billiards. My thesis used computer simulations and some new simplifications to analyze this dynamical system on general quadrilaterals. See PDF below.

bottom of page