## Research

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

Some recent papers:

- 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.
- Cones on homotopy probability spaces with G.-C. Drummond-Cole. 2014
- Homotopy probability theory II with G.-C. Drummond-Cole and J.-S. Park. J. Homotopy Relat. Struct. April 2014. DOI: 10.1007/s40062-014-0078-3
- Homotopy probability theory I with G.-C. Drummond-Cole and J.-S. Park. J. Homotopy Relat. Struct. November 2013. DOI: 10.1007/s40062-013-0067-y
- Homotopy DG algebras induce homotopy BV algebras with Thomas Tradler and Scott Wilson, J. Homotopy and Relat. Struc., 2011, Vol. 6, No. 1, pp. 177-182
- 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

## Teaching

In Fall 2017, I am teaching Algebra (Math 333) and Numerical Analysis (Math 624).

## 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.