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Currently I am in the PhD. program in "Applied Mathematics and Statistics" 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, semi-definite extension complexity, Lasserre hierarchy and sample complexity. I am particularly interested in questions in complexity theory which have an interface with physics. Please contact me on my id "amukhe14@jhu.edu" if you want to discuss some idea!