I am transferring into the "Applied Mathematics and Statistics" PhD. program at the Johns Hopkins university. I started off as a graduate student in physics at UIUC where I worked on these projects, http://arxiv.org/abs/1512.01226, http://arxiv.org/abs/1307.7714
Since summer 2014, I started pursuing complexity theory and I am interested in theory of Ramanujan expanders, spectral graph theory, polytope extension complexity, Lasserre hierarchy and matrix norm sketching. I am particularly interested in questions in complexity theory which have an interface with physics.