Spectral Graph Theory and Quantum Mechanics

Photo of Regan Williams

Regan Williams

I am an Amherst College student double majoring in Mathematics and Political Science. As part of a dual degree program, I am also pursuing a degree in Energy Engineering at Dartmouth College. I’m especially interested in how mathematical tools can be used to model and better understand complex physical systems, and I am passionate about finding practical, sustainable solutions to real-world problems. In my free time, I enjoy playing soccer and climbing.

Photo of Professor Ivan Contreras

Professor Ivan Contreras

My research lies at the intersection of geometry, topology, and mathematical physics. I am particularly interested in exploring the two main ways to understand physical systems: the classical approach, which analyzes phenomena at the macroscopic scale, and the quantum approach, which studies physics at the subatomic level. My work focuses on bridging these perspectives using tools from differential geometry. In my free time, I enjoy cooking and soccer.