I am a PhD candidate in mathematics at Cornell University, working under Steve Strogatz. My research interests include geometric analysis, physical knot theory, and dynamical systems. I am working on three projects: electrostatic knot theory, the hyperbolic geometry of higher-dimensional Kuramoto oscillators, and Plateau problems with Möbius energy on the boundary. In the Spring 2023 semester, I will be a visiting student at the MIT mathematics department to study minimal surfaces with Bill Minicozzi.
You may reach me at ml2437@cornell.edu.
View my CV here.
Current as of January 2023.
Here are some selected preprints and publications.
Part of my research involves the level surfaces of the electric potentials of charged knots. I have written code in Python to visualize these surfaces, and you view an interactive 3D rendering of them here. (NOTE: It may take a few minutes for the webpage to load). You can view interactive plots of the critical sets here. The code can be found here.