Friday, March 2, 2018 at 3:30pm
Beginning the 1980s, there has been interest in considering certain classical nonlinear equations, such as nonlinear Schroedinger, Korteweg de Vries and wave equations, with random initial data. I will explain the motivation for this setting, describe some of the results obtained by using probabilistic methods for dispersive nonlinear equations, and finish by describing some recent and ongoing work by myself and collaborators on the subject.
I graduated from McGill University in Montreal in 2009 with a BSc in Mathematics. I obtained my PhD in Mathematics in 2014 under Michael Aizenman at Princeton, where I worked on random matrices and percolation models. This was followed by a three-year postdoctoral position at Harvard's (then) new Center for Mathematical Sciences and Applications in H.T. Yau's group. I joined the faculty at Cornell in August, 2017.