## Research

My work is in algebraic topology, quantum physics, and deformation theory.

Selected papers:

- Probabilistic modeling with matrix product states, with J. Stokes, eprint arXiv:1902.06888, 2019. Code at https://github.com/TunnelTechnologies/dmrg-exact.
- Language as a matrix product state with V. Pestun and Y. Vlassopolous, eprint arXiv:1711.01416, 2017.
- Homotopy probability theory on a Riemannian manifold and the Euler equation with G.-C. Drummond-Cole, New York Journal of Mathematics, Volume 23 (2017) 1065-1085.
- Quantizing Deformation Theory in Deformation Spaces, Vieweg Teubner Verlag, 2010
- Algebras over Cobar CoFrobenius with Gabriel Drummond-Cole and Thomas Tradler, J. Homotopy and Relat. Struc., 2010, Vol 5, No. 1, pp. 15-36
- Smoothness Theorem for Differential BV Algebras, J. Topology (2008), Vol 1, Issue 3, 693--702.
- Thermodynamic Interpretation of the Quantum Error Correcting Criterion with Korepin, V., J. Quantum Information Processing (2002) 1: 225-242.

## Teaching

## PhD Students

Current students

- Tai-Danae Bradley
- Tyler Bryson

Past students

- Joseph Hirsh
PhD May 2013. Thesis:
*Derived Deformation Theory*. NSF Postdoc at MIT. - Gabriel
Drummond-Cole PhD May, 2010. Thesis:
*Homotopy Batalin-Vilkovisky algebras, trivializing circle actions, and moduli space.*NSF Postdoc at Northwestern. Now a fellow at the IBS Center for Geometry and Physics.