I am an assistant professor in the Math & Statistics Department at the University of Guelph working in the area of probability, stochastic processes, and their applications to machine learning. I am also affiliated with the CARE-AI institute and the Vector Institute.
Before Guelph, I was an NSERC postdoctoral fellow at the University of Toronto, with Jeremy Quastel as my supervisor. My old website, http://www.math.toronto.edu/mnica/ has some links to my previous projects.
Before my postdoc at U of T, I was a PhD student at the Courant Institute of Mathematical Sciences in New York under the advisement of Gérard Ben Arous.
University of Toronto
2017 – 2020
New York University
2011 – 2017
University of Waterloo
2007 – 2011
(With Boris Hanan)
We prove the precise scaling, at finite depth and width, for the mean and variance of the neural tangent kernel (NTK) in a randomly initialized ReLU network. ICLR Spotlight.
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(With Duncan Dauvergne & Bálint Virág)
We prove a general theorem for uniform convergence to the Airy line ensemble that applies to many different last passage percolation settings
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(With Jeremy Quastel & Daniel Remenik)
We provide a direct and elementary proof that the transition probability formulas for TASEP solve the Kolmogorov backward equation. Published in Annals of Probability.