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.
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 S1 and the Witt vectors, in preparation.
- Open-closed string topology spectra, in preparation.
Current Teaching (Spring 2018)
Math 115A - Linear Algebra
Fall 2017: Math 33A - Linear Algebra and Applications
Winter 2018: Math 115A - Linear Algebra
Email: aroyer [at] math [dot] ucla [dot] edu