Mathematics 3 (M3)
200 University Ave W
Canada, N2L 3G1
Bio: I am an Assistant Professor in the department of Statistics and Actuarial Science, with a cross-appointment in Applied mathematics. I am also an affiliate of the Perimeter Institute. Before joining Waterloo, I was a Benjamin Pierce fellow at Harvard University, and an NSF postdoctoral fellow at Harvard and the University of Toronto. Before that, I received a PhD in mathematics from the Courant Institute (NYU), where I was advised by Gerard Ben Arous. I did my undergrad in math and physics at NYU as well.
Research Blurb: I am a mathematician working at the interface of mathematical physics, optimization, the mathematics of data science, and high-dimensional statistics. The goal of my research is to understand the statistical properties of high-dimensional, complex energy landscapes and how these properties affect the behaviour of algorithms and dynamical systems on these landscapes. Some of my work focuses on these questions the perspective of statistical physics, with an emphasis on analyzing glassy systems. Another side of my work is analyzing the average case behaviour of optimization and sampling problems arising in combinatorics, data science, and high-dimensional statistics. There are deep connections and analogies arising at the interface of these four fields. The common threads tying them together are fundamental problems in mathematics.
Some events that I have organized/am currently organizing: