Welcome to Niles's webpage!
I am a 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.
Latest Additions

Slides from the OSU Quantum Symmetries Seminar:
Algebra Morphism Coherence 
Slides from the topology seminar at University of Haifa:
Graded Picard categories and the 2type of the sphere 
Slides from the colloquium at Florida State University:
Algebraic Ktheory for 2categories 
Bimonoidal Categories, E_{n}monoidal Categories, and Algebraic Ktheory, a threevolume work on bimonoidal and higher ringlike categories. Volumes I and II by Donald Yau, and Volume III jointly written by the two of us.
Update 20230718: Correction and minor updates in I.1.3.11 and III.1.1.43 related to Epstein's Coherence Theorem. See book webpage or change log for further details.  2Dimensional Category Theory, an elementary text on 2/bicategories with Donald Yau. Known errata available on our book webpage.
 I wrote a survey article with my coauthors Nick Gurski and Angélica Osorno about our work. It's out in the September 2019 issue of the AMS Notices!
Research
My research concerns the use of categorical algebra to model stable homotopy theory. In recent years, my research follows two related but distinct branches.
 Modeling stable 2types: Continuing my collaboration with Gurski and Osorno, this branch of my research focuses on symmetric monoidal algebra in dimension 2.
 Multifunctorial Ktheory: In a new collaboration with Yau, this branch of my research focuses on the properties of multifunctorial Ktheory, also known as infinite loop space machinery.
Both branches of research are connected to general questions about spectra that are constructed from categorical inputs.
My research page gives a further summary of recent progress along these two branches. A complete list of my work is available on my CV (html), and download links for each item can be found there. My research articles are also available on the arXiv.
Teaching
My teaching homepage has links to some topics related to my undergraduate and graduate teaching. This includes a collection of fun undergraduate topics and some la/tex helpers.MathMeetings.net
MathMeetings.net 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 and subject.
Other things I do
Information about some of my other interests (with pictures!) is available in the Etcetera section of this site.
I have a few different opensource side projects that are sometimes useful to others:
 conferencelist is the underlying software for MathMeetings.net
 simpleconference is a simple app for hosting conference info and registration
 latex_starter has my latex templates
 refdeps is a tex package to draw a graph of reference dependencies
 Visualization of A(2)
tags: info