Tyler Lawson's homepage

Personal information

I'm an assistant professor at the University of Minnesota, Twin Cities.

Prior to that, I was an NSF Postdoctoral Fellow/Moore Instructor at MIT for the period 2004-2007. I received my Ph.D. from Stanford University in 2004. My advisor was Gunnar Carlsson.

My research interests are in algebraic topology, representation theory, algebraic K-theory, and related fields.

Teaching and seminars

In spring 2008 I am teaching Math 5378, Differential Geometry.

In fall 2007 I taught Math 1001, Excursions in Mathematics.

Some links to pages from my pre-UMN teaching are here.

Papers, notes, etc.

"The plus construction, Bousfield localization, and derived completion" (PDF).
Submitted. Last modified May 2, 2008.

"Topological automorphic forms" (PDF) - with Mark Behrens.
To appear in Memoirs of the AMS. Last modified November 9, 2007.

"The topological Hochschild homology of \ell and ko" (PDF) - with Vigleik Angeltveit and Mike Hill.
Submitted. Last modified March 14, 2007.

"The Bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n)" (PDF).
Submitted. Last modified September 6, 2007.

"Realizability of the Adams-Novikov spectral sequence for formal A-modules" (PDF).
Published in Proceedings of the AMS, vol. 135, no. 3 (2007).

"The product formula in unitary deformation K-theory" (PDF).
Published in K-theory, vol. 37, no. 4 (2006).

"Isogenies of elliptic curves and the Morava stabilizer group" (PDF) - with Mark Behrens.
Published in Journal of Pure and Applied Algebra, vol 207, no. 1 (2006).

Some notes on motivic homotopy theory from a seminar given in Fall 2004 by Mike Hopkins at Harvard.

"Completed representation ring spectra of nilpotent groups" (PDF).
Published in Algebraic and Geometric Topology, Volume 6 (2006).

"The integral homology of orientable Seifert manifolds" - with J. Bryden, B. Pigott, and P. Zvengrowski.
Published in Topology and its Applications, vol. 127 (2003).

Incomplete work and work in progress.