# Aaron M Royer

Welcome! I'm a NSF Postdoctoral Fellow and Assistant Adjunct Professor at UCLA under the mentorship of Mike Hill. I obtained my Ph.D. from UT Austin in May 2016 under the supervision of Andrew Blumberg.
## Research

My research is in algebraic topology, particularly on problems inspired by geometry and physics. Here's a list of my papers, including some in progress:
*Generalized String Topology and Derived Koszul Duality*, on the arxiv.
*Order one differential equations on nonisotrivial algebraic curves*, with Taylor Dupuy and James Freitag, on the arxiv.
*K-theory Computations for Topological Insulators*, with Dan Freed, in preparation.
*Topological cyclic homology of polynomial E*_{∞}-ring spectra, with Ernie Fontes and Truls B. Raeder, in preparation.
*Affinization of S*^{1} and the Witt vectors, in preparation.
*Open-closed string topology spectra*, in preparation.

## Teaching

Fall 2017: Math 33A - Linear Algebra and Applications

Winter 2018: Math 115A - Linear Algebra
## Contact

Email: aroyer [at] math [dot] ucla [dot] edu