Welcome to Niles's webpage!

[picture of Niles]

I am an assistant professor in algebraic topology at The Ohio State University. I am a member of the Department of Mathematics, and I teach on the Newark Campus.

Research

[120-cell base]

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.

All of my papers, published and preprint, are available on the arXiv. You can also see an overview on my CV (html).

Teaching

My teaching homepage has links to my current courses and a collection of fun topics related to current and previous course material.

AlgTop-Conf

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.

[brutto, cattivo, buono]

Other things I do

I contribute to the open-source mathematics program Sage. Here you can find a lists of patches I've worked on and patches I've reviewed from the Sage development site trac.sagemath.org.

Here's an overview of my activity on the Sage support website ask.sagemath.org.

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!

I'm somewhat active on Google+, and I'm one of the curators for Science on Google+.

Information about some of my other interests (with pictures!) is available in the Etcetera section of this site.

show background grid hide background grid grid OFF

Creative Commons License

The pages of nilesjohnson.net are licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.