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:
  1. Generalized String Topology and Derived Koszul Duality, on the arxiv.
  2. Order one differential equations on nonisotrivial algebraic curves, with Taylor Dupuy and James Freitag, on the arxiv.
  3. K-theory Computations for Topological Insulators, with Dan Freed, in preparation.
  4. Topological cyclic homology of polynomial E-ring spectra, with Ernie Fontes and Truls B. Raeder, in preparation.
  5. Affinization of S1 and the Witt vectors, in preparation.
  6. Open-closed string topology spectra, in preparation.

Teaching

Fall 2017: Math 33A - Linear Algebra and Applications

Contact

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