Paul Goerss

Paul Goerss, Oberwolfach 2011

Paul Gregory Goerss (born August 28, 1957 in Cleveland , Ohio ) is an American mathematician who studies algebraic topology .

Goerss received his PhD from the Massachusetts Institute of Technology with Franklin Paul Peterson in 1983 ( Results on Brown-Gitler Spectra ). He was at Wellesley College , a professor at the University of Washington, and is a professor at Northwestern University . He is a fellow of the American Mathematical Society . In 1990 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ).

He deals with homotopy theories , including stable homotopy and applications, for example in algebraic geometry.

Fonts

with John F. Jardine : Simplicial Homotopy Theory , Birkhäuser 1999, 2010.
On the André-Quillen cohomology of commutative algebras ${\ displaystyle F_ {2}}$ , Astérisque, 186, 1990.
with Jean Lannes , Fabien Morel : Vecteurs de Witt noncommutatifs et représentabilité de l'homologie modulo p , Inventiones Mathematicae, 108, 1992, 163-227.
with Michael J. Hopkins : Moduli spaces of commutative ring spectra , in: Structured Ring Spectra, London Math. Soc. Lecture Note Series, Volume 315, Cambridge University Press 2008, pp. 151-200, Cambridge Univ. Press, Cambridge.
with Hans-Werner Henn , Mark Mahowald , C. Rezk: A resolution of the K (2) -local sphere at the prime 3 , Annals of Mathematics, Volume 162, 2005, pp. 777-822.
Topological modular forms [after Hopkins , Miller , and Lurie ] , Astérisque, 332 (2010), 221–256 ( Séminaire Nicolas Bourbaki , No. 1005, 2008/09)
with Hans-Werner Henn, Mark Mahowald: A resolution of the K (2) -local sphere at the prime 3 , Annals of Mathematics, 162, 2005, 777-822, Arxiv