Research
My main area of interest is of topological data analysis. I have been working with Dr. Chad Giusti at the University of Delaware and Dr. Sam Mckenzie of the University of New Mexico on applications of TDA to navigation in neuroscience. I also have interest in theoretical algebraic topology, combinatorics, and graph theory. I love sharing my research with professional mathematicians and interested undergraduates. I’ve enjoyed mentoring and conducting research with students from my classes.
This video is a simplified overview of my work, intended for a general audience. I outline the connections between place cells in the hippocampus and locations in the physical environment, place fields. I briefly introduce persistent homology and discuss its application to navigation.
As part of a summer seminar series, I gave an hour long talk to early graduate students introducing the basic motivation and mechanics of TDA. I also outlined an application to my research.
I am also interested in more theoretic questions surrounding algebraic topology. In June 2022, I gave a talk at the Union College Mathematics Conference exploring the idea of anti-geometric persistence.
In Spring 2022, I helped to found the directed reading program at the University of Delaware. In this program, graduate mentors met weekly with interested undergraduates to read and research mathematics. I mentored an exceptionally bright student and we did some novel number theory research.
Interested in talking with me?
