Gereon Quick

Contact

Mathematisches Institut
University of Münster
Einsteinstr. 62
48149 Münster
Germany

Room 406

Email: gquick at math.uni-muenster.de

I am a Postdoctoral Fellow at the Mathematics Department of the University of Münster.
My research interests include: algebraic and étale cobordism; profinite, étale and motivic homotopy theory; algebraic cycles; differential cohomology; anabelian geometry.

Publications and Preprints

Conferences

Talks

Teaching

Curriculum Vitae

Publications and Preprints

Homotopy theory of smooth compactifications of algebraic varieties
preprint - 10 pages - pdf

Hodge filtered complex bordism
with Michael J. Hopkins - preprint - submitted - pdf

Continuous homotopy fixed points for Lubin-Tate spectra
Homology, Homotopy and Applications 15 (2013) 191-222 - link

Profinite G-spectra
Homology, Homotopy and Applications 15 (2013) 151-189 - link

Some remarks on profinite completion of spaces
Galois-Teichmüller theory and Arithmetic Geometry (Hiroaki Nakamura, Florian Pop, Leila Schneps, and Akio Tamagawa, eds.),
Advanced Studies in Pure Mathematics, vol. 63, Mathematical Society of Japan, 2012, pp. 413-448 - preprint

Torsion algebraic cycles and étale cobordism
Advances in Mathematics 227 (2011) 962-985 preprint

Continuous group actions on profinite spaces
Journal of Pure and Applied Algebra 215 (2011) 1024-1039 preprint

Profinite homotopy theory
Documenta Mathematica 13 (2008) 585-612 preprint

Stable étale realization and étale cobordism
Advances in Mathematics 214 (2007) 730-760 preprint

Profinite Etale Cobordism
PhD-thesis - pdf

Editorial work

E. M. Friedlander, P. A. Østvær, G. Quick (as special editors):
Special Issue on motivic A¹-homotopy theory
Journal of K-Theory, Volume 7, Issue 3, 2011

Some Conferences, Seminars, Events

Homotopical Methods in Algebraic Geometry, May 28-June1, 2013 at University of Southern California, Los Angeles, organized by A. Asok, E. Friedlander, C. Haesemeyer, M. Walker, and C. Weibel.
Workshop on Arithmetic Geometry and Homotopy Theory, May 31-June1, 2012 at Imperial College London, organized by Ambrus Pal and Alexei Skorobogatov.
Conference on Arithmetic and Motivic Geometry, September 19-23, 2011 at CIRM in Luminy, organized by A. Huber-Klawitter, U. Jannsen, B. Kahn and S. Saito.
USC Algebra Seminar, August 26, 2011, organized by A. Asok at USC Los Angeles.
Summer School on Rigidity theorems in A¹-homotopy theory, August 2011 in Regensburg, organized by U. Jannsen and N. Naumann.
Workshop on Arithmetic and Motivic Algebraic Geometry, February 14-18, 2011 in Regensburg, organized by A. Schmidt.
International Workshop on Motives, December 13-17, 2010 in Tokyo, organized by T. Geisser, S. Kimura, S. Saito and A. Shiho.
Development of Galois-Teichmuller Theory and Anabelian Geometry, October 25-30, 2010 at RIMS in Kyoto, organized by H. Nakamura, F. Pop, L. Schneps and A. Tamagawa.
Galois-theoretic Arithmetic Geometry, October 19-24, 2010 in Kyoto, organized by H. Nakamura, F. Pop, L. Schneps, A. Tamagawa and Y. Hoshi.
PIA 2010 The arithmetic of fundamental groups, February 8-12, 2010 in Heidelberg, organized by Jakob Stix.

Organization of a Workshop on Motivic Homotopy Theory in Münster in July 2009 together with Eric M. Friedlander and Paul Arne Østvær
supported by SFB 478 Geometrische Strukturen in der Mathematik; here you find the program and the list of participants.

Selected Recent Invited Presentations

USC Los Angeles: Invited plenary speaker for the conference Homotopical Methods in Algebraic Geometry, May 2013
Technical University of Munich: Seminar in Algebraic Geometry, January 2013: Hodge filtered complex bordism
University of Regensburg: GK-Kolloquium, January 2013: Hodge filtered complex bordism
Harvard University: Thursday Topology Seminar, November 2012: The smooth cycle map in generalized Deligne cohomology
Imperial College London: Workshop on Arithmetic Geometry and Homotopy Theory, May 2012: Existence of rational points as a homotopy limit problem
Wayne State University Detroit: Topology Seminar, February 2012: Hodge filtered complex cobordism
University of Virginia: Topology Seminar, October 2011: Hodge filtered complex cobordism
USC Los Angeles: Algebra Seminar, August 2011: Algebraic cycles, étale cobordism and differential cohomology theories
University of Regensburg: Summer School on Rigidity theorems in A¹-homotopy theory, August 2011: Introduction to the A¹-homotopy category of Morel-Voevodsky
MIT: Topology Seminar, May 2011: Homotopy fixed points of profinite spectra
University of Regensburg: Workshop on Arithmetic and Motivic Algebraic Geometry, February 2011: Galois actions on étale homotopy types
University of Tokyo: International Workshop on Motives, December 2010: Torsion algebraic cycles and étale cobordism
RIMS Kyoto University: RIMS Camp-style Seminar on Galois-theoretic Arithmetic Geometry, October 2010: Galois actions on étale homotopy types
University of Coimbra: GAeL XVIII, June 2010: Torsion algebraic cycles and étale cobordism
University of Essen: Algebraic Geometry Seminar, May 2010: Torsion algebraic cycles and étale cobordism
Alfred Renyi Institute of Mathematics Budapest: April 2010: Torsion algebraic cycles and étale cobordism
University of London Ontario: March 2010: Torsion algebraic cycles and étale cobordism
University of Heidelberg: PIA 2010 The arithmetic of fundamental groups, February 2010: Torsion algebraic cycles and étale cobordism
University of Regensburg: Colloquium in Arithmetic Geometry, December 2009: Torsion algebraic cycles and étale cobordism
MIT: Topology Seminar, October 2009: Some applications of profinite homotopy theory

Curriculum Vitae

since 09/2012: Postdoctoral Fellow at Math. Department, University of Münster
10/2010-08/2012: Postdoctoral Fellow at Harvard University
02-03/2010: Visitor at the Institute for Advanced Study in Princeton
09-10/2009: Postdoctoral Fellow at Harvard University
09/2007: EU-Research Fellow at University of Tokyo
07/2005-09/2010: Postdoctoral Fellow at Math. Department, University of Münster
07/2005: PhD in Mathematics with a thesis on profinite étale cobordism, advisor: Prof. Dr. C. Deninger
03/2004-06/2004: Marie Curie Fellowship, Institut Henri Poincaré in Paris
10/2001-06/2005: Scientific assistant at Math. Department, University of Münster
09/2000-06/2001: DEA des Méthodes algébriques, Université Pierre et Marie Curie in Paris, advisor: Prof. Dr. B. Kahn
10/1999-06/2000: Certificate of Advanced Study in Mathematics, University of Cambridge, UK
10/1997-09/1999: Studies in Mathematics, Philosophy and Physics, University of Heidelberg

UFC Münster