Ph.D., University of Michigan, Mathematics (2020)
B.S., Pennsylvania State University, Mathematics (2013)
Postdoctoral Research Scientist Columbia University, Department of Applied Physics and Applied Mathematics (2020-2023)
My research interests are primarily in applied mathematics and partial fifferential equations. Mathematically, I employ techniques from functional and harmonic analysis, spectral theory, asymptotic analysis, and probability theory. Physically, I study problems arising in wave propagation in quantum mechanics and quantum optics. My work aims to provide insight into important wave phenomena arising in Quantum Physics such as the transfer and diffusion of energy, dispersion and transport of wave packets, and understanding the mechanisms by which engineered materials can exhibit complex properties.
I enjoy teaching a variety of math courses, both applied and pure. It was while I was enrolled in second-semester calculus that I first became deeply interested in mathematics, and as a result, introductory courses have a very special place in my heart. I believe that mathematics is most stimulating when it is well motivated and draws on tools from several different fields. In this sense, I believe applied mathematics courses provide a unique opportunity to teach students about a broad range of mathematical ideas, as well as how to use mathematical tools to solve real world problems. My own research overlaps most heavily with physics, and so I hope to teach some classes that provide a rigorous mathematical foundation for solving problems from classical and quantum physics.
I am also interested in the philosophy and history of mathematics.