Assistant Professor of the Practice
Ph.D., University of Notre Dame, 2019
MS, University of Notre Dame, 2015
BA, West Chester University of Pennsylvania, 2013
The mathematics of quantum mechanics
My mathematical research interest is in the mathematics of quantum mechanics. I specifically look at Segal-Bargmann Space and relationships with the different types of Segal-Bargmann transforms. I am interested in simplifying the problems using symmetry which leads me to use Lie Groups in my research. Although most of the techniques I use are analytic, I am always looking for the geometric relationship as well.
My mathematical pedagogue research is mostly in digital space. I am interested in seeing how modern technology opens up different methods for teaching and communicating mathematics. I am interested in alternative forms of teaching and am open to trying different approaches.
- Holomorphic Polar Coordinates and Segal-Bargmann Space. Dissertation, publication pending.