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I got my PhD in 2013 from UC Berkeley, working with Peter Teichner, and then was a Szego Assistant Professor at Stanford from 2013-2015 before moving to UIUC.

My research studies connections between supersymmetric (quantum) field theories, differential geometry, and algebraic topology.

Papers accepted for publication:

Perturbative N=2 supersymmetric quantum mechanics and L-theory with complex coefficients, Letters in Mathematical Physics, Volume 106 (2016).

The Chern-Gauss-Bonnet Theorem via supersymmetric Euclidean field theories, Communications in Mathematical Physics, Volume 335 (2015).

Preprints:

A geometric model for complex analytic equivariant elliptic cohomology, with Arnav Tripathy (2018).

An index theorem for elliptic cohomology with complex coefficients (ArXiv version). Current version.

The equivariant Chern character as super holonomy on loop stacks, with Fei Han (2016).

Lie 2-algebras of vector fields, with Eugene Lerman (2016).

Twisted equivariant differential K-theory from gauged supersymmetric mechanics (2015).

Topological q-expansion and the supersymmetric sigma model (2015).

Smooth one-dimensional topological field theories are vector bundles with connection, with Dmitri Pavlov (2015).

Twisted equivariant elliptic cohomology with complex coefficients from gauged sigma models (2014).

Perturbative sigma models, elliptic cohomology and the Witten genus (Arxiv version). Current version.

Other writing:

My master's thesis in astrophysics.

Morita equivalences of Clifford algebras.