Welcome to Niles's webpage!
I am an assistant professor in algebraic topology at Ohio State Newark.
- Interactive visualization of A(2), joint with Bob Bruner.
- Lifting homotopy T-algebra maps to strict maps, joint with Justin Noel is now on the arXiv!
- An explanation and instructions for setting up your own Hash to display email. This is what I use to make my email address accessible to humans, but protect it from spambots.
- With some reservations, I have now posted slides from a recent talk on enjoying the job market!
- Visualizing Seven-Manifolds animation project.
My research interests extend toward both categorical and computational aspects of algebraic topology. Categorical frameworks provide a context in which to develop the "brave new algebra" of structured ring spectra. I'm interested particularly in understanding Picard/Brauer theory and their connections with the Galois theory of ring spectra.
I began interacting with computational aspects of structured ring spectra in joint work with Justin Noel. This work includes computer calculations of power operations and an obstruction spectral sequence for maps of structured ring spectra. Some of my other computational work relates to low-degree Lie algebra cohomology, in joint work with the UGA Algebra Group.
TeachingMy teaching homepage has links to my current courses and a collection of fun topics related to current and previous course material.
AlgTop-Conf is a web application for conference announcements. The application lets anyone from the community add conference announcements, storing them in a database and displaying them sorted by date or location.
Other things I do
I've started compiling a collection of my personal latex tips.
I use Dropbox to store some of my files online. If you use this link to sign up, we both get a storage bonus!
Information about some of my other interests (with pictures!) is available in the Etcetera section of this site.