Aaron Mazel-Gee

My name is Aaron. I like to do math. It is my job. I've just finished grad school at UC Berkeley, where my advisor was Peter Teichner. I'm excited to be starting as a Zassenhaus Assistant Professor at Ohio State University in the fall of 2016.

My email address is edu.osu@mazel-gee.1, except that that's not quite it. My office at OSU is 630 MW (Math Tower), and my box is #28.

Throughout 2012, I was based at the Max Planck Institute for Mathematics in Bonn, Germany. Throughout 2013, I was based at MIT in Cambridge, MA. During the fall 2015 semester, I was based at Montana State University in Bozeman, MT, where I worked with David Ayala.

You can see my c.v. here.

My current research interests are: factorization homology, derived algebraic geometry, and algebraic K-theory; quantum field theory and shifted geometric structures; higher category theory, abstract homotopy theory, and their applications to equivariant and motivic homotopy theory; chromatic homotopy theory and its interactions with number theory; the human condition.
My PhD thesis is entitled Goerss--Hopkins obstruction theory via model ∞-categories. You can see it here.* You can also see the movie adaptation here. [show more]

*Last updated 10/17/2016. I am happy to receive any comments, errata, typos, etc.

I have also split out the first section of the introductory chapter of my thesis into an essay called The zen of ∞-categories, which you can see here. This is an introduction to abstract homotopy theory. In the interest of accessibility to a broad mathematical audience, it is centered around the classical theory of abelian categories, chain complexes, derived categories, and derived functors.

The Adem relations calculator is here -- brought to you, as always, by the wizardry of the kruckmachine.

I passed my qualifying exam on Friday, May 13, 2011.

Here is a diagram from a class I taught, which attempts to summarize the relationship between relative categories, model categories, quasicategories, and ∞-categories.

The DavidRoll: Alper, Ayala, Ben-Zvi, Carchedi, Corwin, Duhl-Coughlin, Gepner, Hansen, Jordan, Li-Bland, Nadler, Orman, Penneys, Roberts, Spivak, White.

writing       talks       teaching       conferences       service       PR       xkcd seminar       livetex

The unoriented cobordism ring is π*(MO)=Z/2[{xn:n≠2t-1}]=Z/2[x2,x4,x5,x6,x8,x9,...].
The complex cobordism ring is π*(MU)=Z[{x2n}]=Z[x2,x4,x6,...].