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MAX LIPTON

I am a fifth year PhD candidate in mathematics at Cornell University, working under Steve Strogatz. I'm interested in dynamical systems that arise from pure mathematics. Right now, I'm working on two research projects: the hyperbolic geometry of higher dimensional Kuramoto oscillators, and electrostatic knot theory.

You may reach me at ml2437@cornell.edu.

CURRICULUM VITAE

View my CV here. Current as of Fall 2020.


TEACHING

Math 1120: Calculus II (Fall 2020)

RESEARCH

Here are some preprints related to my thesis research.


The relationship between the critical sets and Morse codes of electrically charged knots.
A lower bound on critical points of the electric potential of a knot. Submitted for publication and under review.
On higher dimensional generalized Kuramoto oscillator systems (with R. Mirollo and S. Strogatz).

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. You can view interactive plots of the critical sets here. The code can be found here.