I got my PhD in 2013 from UC Berkeley, working with Peter Teichner, and then was a Szego Assistant Professor
at Stanford from 20132015 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 Ltheory with complex coefficients, Letters in Mathematical Physics, Volume 106 (2016).
The ChernGaussBonnet Theorem via supersymmetric Euclidean field theories,
Communications in Mathematical Physics, Volume 335 (2015).
Preprints:
Classifying spaces of infinitysheaves, with Pedro Boavida de Brito and Dmitri Pavlov (2019).
Supersymmetric localization, modularity and the Witten genus (2019).
A de Rham model for complex analytic equivariant elliptic cohomology, with Arnav Tripathy (2019).
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 2algebras of vector fields, with Eugene Lerman (2016).
Twisted equivariant differential Ktheory from gauged supersymmetric mechanics (2015).
Topological qexpansion and the supersymmetric sigma model (2015).
Smooth onedimensional 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.
