Background and activities
Gereon Quick is an Associate Professor at the Department of Mathematical Sciences and is a member of the Geometry/topology group.
He has an MSc in Mathematics from Cambridge University, UK, a DEA in Mathematics from Université Pierre et Marie Curie in Paris, France, a PhD and Habilitation in Mathematics from Universität Münster, Germany. As a postdoc he continued his research in Münster, at LMU München and at Harvard University, USA.
Main research interests
Homotopy theory and its applications in algebraic and arithmetic geometry. In particular, algebraic and étale cobordism; chromatic, profinite, étale and motivic homotopy theory; Deligne cohomology theories; algebraic cycles; anabelian geometry; profinite Teichmüller theory; enumerative geometry.
Teaching and supervision
- Lectured courses: Calculus 1; Calculus 3; Integration, Series and Differential Equations; Quadratic Forms; Manifolds; Introduction to Topology; Advanced Algebraic Topology; Modular Forms and Curves.
- Seminar courses: Representation Theory of Finite Groups; Zeta- und L-functions; Galois Cohomology; Local Fields; Class Field Theory; Elliptic Curves; Abelian Schemes; Étale Fundamental Group; Motivic Homotopy Theory; Elliptic Curves and Cryptography.
- Supervised 9 Bachelor students and 5 Master students.
- Currently PhD-supervisor of Håvard Bakke Bjerkevik and Knut Bjarte Haus, co-supervisor of Erik Rybakken, and supervisor of Master student Eivind Otto Hjelle.
- May-July 2017 Researcher at Harvard University
- Feb-April 2017 Researcher at Institut Mittag-Leffler Stockholm
- 2015- Associate Professor at NTNU
- Fall 2014 Research Fellowship at LMU München
- Spring 2014 Lecturer and Research Associate at Harvard University
- 2012-2013 Assistant Professor and Interim Full Professor at WWU Münster
- 2010-2012 Postdoctoral Research Fellow and Lecturer at Harvard University
- 2007-2010 Assistant Professor at WWU Münster
- 2005-2007 Postdoctoral Fellow at WWU Münster
Fellowships and grants
- since 2016: Part of the Project Motivic Hopf equations funded by the Research Council of Norway
- since 2015: Part of the DFG-Priority Program 1786 Homotopy Theory and Algebraic Geometry
- 2010-2012 Research Fellowship at Harvard University, USA
- 02-03/2010 Invited Visitor of the program A1-homotopy and its recent developments at the Institute for Advanced Study in Princeton, USA
- 09/2007 Marie Curie Research Training Network Travel Grant for a visit at University of Tokyo, Japan
- 03-06/2004 Marie Curie-Fellowship at Institut Henri Pointcaré Paris, France
- 2000-2001 Full Scholarship of the French Government at Université Pierre et Marie Curie Paris, France
Scientific, academic and artistic work
Displaying a selection of activities. See all publications in the database
- (2016) Profinite and discrete G-spectra and iterated homotopy fixed points. Algebraic and Geometric Topology. vol. 16 (4).
- (2016) An Abel-Jacobi invariant for cobordant cycles. Documenta Mathematica. vol. 21.
- (2015) Hodge filtered complex bordism. Journal of Topology. vol. 8 (1).
- (2015) Existence of rational points as a homotopy limit problem. Journal of Pure and Applied Algebra. vol. 219 (8).
- (2013) Continuous homotopy fixed points for Lubin-Tate spectra. Homology, Homotopy and Applications. vol. 15 (1).
- (2013) Homotopy theory of smooth compactifications of algebraic varieties. New York journal of mathematics. vol. 19.
- (2013) Profinite G-spectra. Homology, Homotopy and Applications. vol. 15 (1).
- (2011) Preface to J.K-Theory 7. Journal of K-Theory. vol. 7 (3).
- (2011) Special Issue on motivic A1-homotopy theory. Journal of K-Theory. vol. 7 (3).
- (2011) Continuous group actions on profinite spaces. Journal of Pure and Applied Algebra. vol. 215 (5).
- (2011) Torsion algebraic cycles and étale cobordism. Advances in Mathematics. vol. 227 (2).
- (2008) Profinite Homotopy Theory. Documenta Mathematica. vol. 13.
- (2007) Stable étale realization and étale cobordism. Advances in Mathematics. vol. 214 (2).
Part of book/report
- (2012) Some remarks on profinite completion of spaces. Galois-Teichmüller Theory and Arithmetic Geometry.