Institut des Hautes Études Scientifiques
35 Route de Chartres
Tel: +33 1 60 92 66 17
E-mail: celliott AT ihes DOT fr
A pdf copy of my CV is available here.
I am a 3-year postdoctoral fellow at the IHÉS, part of the ERC grant QUASIFT under Vasily Pestun. I'm interested in mathematical constructions in classical and quantum field theories using derived algebraic geometry. For example, I think about:
A more detailed description of some of my interests can be found in my research statement (although this version is now a few years old). I also have a non-technical description of my research.
- The construction and classification of (not necessarily topological) twists of classical field theories, especially using techniques of derived algebraic geometry and homotopical algebra.
- The connection between structures appearing in various versions of the geometric Langlands correspondence and twists of four- and five-dimensional supersymmetric gauge theories.
- Anomalies in perturbative field theory from the factorization algebra perspective.
You can also read my thesis, which is a combination of the last two papers above, with an expository introduction and some remarks on future work.
Notes I've Written
My notes from the 2012 Notre Dame Graduate Summer School on Topology and Field Theories.
Last modified Friday June 23rd, 2017.
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