Paul Goerss

Teaching Spring 2023

Math 516 Topics in Topology: Chromatic Homotopy Theory

Graduate Students

I am currently the main advisor for Catherine Ray. A list of former students can be found at my Math Geneaology entry.

The Multiplicative Ring Spectra Project, with Mike Hopkins

All other papers are available at the arXiv or through MathSciNet.

• Quasi-coherent sheaves on the moduli stack of formal groups (Revised April 2, 2008)

• Moduli spaces of commutative ring spectra
  This is a greatly revised version of "Realizing commutative ring spectra as E_\ifty ring spectra".

• Moduli problems for structured ring spectra
  This contains all of the proofs (and much more) promised by the paper "Moduli spaces of commutative ring spectra" above.

• Andre-Quillen(co-)homology for simplicial algebras over simplicial operads

• (Pre-)sheaves of ring spectra over the moduli stack of formal group laws
  Notes from a talk given at the Isaac Newton Institute, September 2002.

• Topological Algebraic Geometry: A workshop at the University of Copenhagen June 16--20, 2008.

• Realizing families of Landweber exact homology theories
  Notes from a talk given at the BIRC March 2008

• Topological Modular Forms [after Hopkins, Miller, and Lurie]
  Article to accompany Bourbaki presentation of March 14, 2009.