Owen gwilliam thesis

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I am an assistant professor of mathematics at George Mason University. Here is a picture from the Professional Development Event for Aspiring Mathematicians which I suggested and helped organize:. A central theme of my research is applications of higher category theory to topology and differential and algebraic geometry. In particular, I am interested in derived geometry. I also maintain an active interest in field theory. One of the larger endeavors I am working on is the development of a suitable framework for infinite dimensional derived differential geometry, tailored towards applications to field theory.
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I am a sixth-year graduate student in the math department at UC Berkeley. I am interested in mathematical physics, in particular in functorial field theories and factorization algebras, which seem to be two related axiomatizations of quantum field theory. Another main interest of mine is BV quantization. My research has centered around formal aspects of free fermions, as understood in a BV-theoretic and factorization-algebraic framework. I am also interested in constructions of factorization algebras for field theories on manifolds with boundary.
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