Until recently, I was a Benjamin Peirce fellow in mathematics at Harvard, where I have been working with Horng-Tzer Yau. Before that, I spent a year at the IAS where my mentors were Wilhelm Schlag and Tom Spencer. I obtained a Ph.D. in mathematics from Caltech in 2017. My Ph.D. advisor was Rupert L. Frank.
I am mainly interested in applying tools from mathematical analysis to problems originating in quantum physics. The methods I use come from the calculus of variations, ergodic theory, harmonic analysis, partial differential equations, and spectral theory. Topics that I have worked on recently include: