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).
Classifying spaces of infinity-sheaves, with Pedro Boavida de Brito and Dmitri Pavlov (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).
The equivariant Chern character as super holonomy on loop stacks, with Fei Han (2016).
Lie 2-algebras of vector fields, with Eugene Lerman (2016).
Smooth one-dimensional topological field theories are vector bundles with connection, with Dmitri Pavlov (2015).
My master's thesis in astrophysics.