Gereon Quick
About
Gereon Quick is a professor of mathematics at the Department of Mathematical Sciences and member of the Geometry & Topology group.
He has an MSc in Mathematics from University of Cambridge, UK, a DEA in Mathematics from Université Pierre et Marie Curie in Paris, France. He received his PhD and Habilitation in Mathematics from Universität Münster, Germany. As a postdoc he continued his research in Münster, at LMU München, at the University of Tokyo, at the IAS in Princeton and at Harvard University in the US.
Work experience
- 2019- Professor at NTNU
- 2015-2019 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
Research visits
- May-July 2017 Harvard University
- Feb-April 2017 Institut Mittag-Leffler Stockholm
- Aug-Sept 2013 Harvard University
- Feb-March 2010 Institute for Advanced Study Princeton
- Sept-Oct 2009 Harvard University
- Sept 2007 Tokyo University
- Feb-June 2004 Institut Henri Poincaré Paris.
Academic Degrees
- Habilitation in Mathematics at WWU Münster, Germany.
- PhD in Mathematics from WWU Münster, Germany.
- DEA in Mathematics from Université Pierre et Marie Curie in Paris, France.
- MSc in Mathematics from University of Cambridge, UK.
Competencies
Research
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.
Fellowships and grants
- since 2023: Partner in LPP-RIMS Arithmetic & Homotopic Galois Theory IRN (AHGT)
- since 2021: Part of the project Equations in Motivic Homotopy funded by the Research Council of Norway
- 2016-2021: 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
Publications
2022
-
Quick, Gereon;
Strand, Therese;
Wilson, Glen Matthew.
(2022)
Representability of the local motivic Brouwer degree.
Mathematica Scandinavica.
volum 128 (1).
Academic article
2020
-
Baas, Nils A.;
Carlsson, Gunnar E.;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Preface.
Topological Data Analysis.
Academic chapter/article/Conference paper
-
Baas, Nils A.;
Carlsson, Gunnar E;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Topological Data Analysis.
Springer Nature. 2020. ISBN 978-3-030-43407-6. Abel Symposia (15).
Academic anthology/Conference proceedings
2018
-
Hopkins, Michael J.;
Quick, Gereon.
(2018)
Algebraic Cycles in Generalized Cohomology Theories.
Oberwolfach Reports.
volum 15 (2).
Academic article
-
Quick, Gereon.
(2018)
Examples of non-algebraic classes in the Brown-Peterson tower.
Mathematische Zeitschrift.
volum 293.
Academic article
-
Quick, Gereon.
(2018)
Unstable splittings in Hodge filtered Brown-Peterson cohomology.
Journal of Homotopy and Related Structures (JHRS).
volum 14 (2).
Academic article
2016
-
Davis, Daniel G.;
Quick, Gereon.
(2016)
Profinite and discrete G-spectra and iterated homotopy fixed points.
Algebraic and Geometric Topology.
volum 16 (4).
Academic article
-
Quick, Gereon.
(2016)
An Abel-Jacobi invariant for cobordant cycles.
Documenta Mathematica.
volum 21.
Academic article
2015
-
Hopkins, Michael J.;
Quick, Gereon.
(2015)
Hodge filtered complex bordism.
Journal of Topology.
volum 8 (1).
Academic article
-
Quick, Gereon.
(2015)
Existence of rational points as a homotopy limit problem.
Journal of Pure and Applied Algebra.
volum 219 (8).
Academic article
2013
-
Quick, Gereon.
(2013)
Continuous homotopy fixed points for Lubin-Tate spectra.
Homology, Homotopy and Applications.
volum 15 (1).
Academic article
-
Quick, Gereon.
(2013)
Homotopy theory of smooth compactifications of algebraic varieties.
New York journal of mathematics.
volum 19.
Academic article
-
Quick, Gereon.
(2013)
Profinite G-spectra.
Homology, Homotopy and Applications.
volum 15 (1).
Academic article
2012
-
Quick, Gereon.
(2012)
Some remarks on profinite completion of spaces.
Galois-Teichmüller Theory and Arithmetic Geometry.
Academic chapter/article/Conference paper
2011
-
Friedlander, Eric M.;
Quick, Gereon;
Østvær, Paul Arne.
(2011)
Preface to J.K-Theory 7.
Journal of K-Theory.
volum 7 (3).
Abstract
-
Friedlander, Eric M.;
Quick, Gereon;
Østvær, Paul Arne.
(2011)
Special Issue on motivic A1-homotopy theory.
Journal of K-Theory.
volum 7 (3).
Editorial
-
Quick, Gereon.
(2011)
Continuous group actions on profinite spaces.
Journal of Pure and Applied Algebra.
volum 215 (5).
Academic article
-
Quick, Gereon.
(2011)
Torsion algebraic cycles and étale cobordism.
Advances in Mathematics.
volum 227 (2).
Academic article
2008
-
Quick, Gereon.
(2008)
Profinite Homotopy Theory.
Documenta Mathematica.
volum 13.
Academic article
2007
-
Quick, Gereon.
(2007)
Stable étale realization and étale cobordism.
Advances in Mathematics.
volum 214 (2).
Academic article
Journal publications
-
Quick, Gereon;
Strand, Therese;
Wilson, Glen Matthew.
(2022)
Representability of the local motivic Brouwer degree.
Mathematica Scandinavica.
volum 128 (1).
Academic article
-
Hopkins, Michael J.;
Quick, Gereon.
(2018)
Algebraic Cycles in Generalized Cohomology Theories.
Oberwolfach Reports.
volum 15 (2).
Academic article
-
Quick, Gereon.
(2018)
Examples of non-algebraic classes in the Brown-Peterson tower.
Mathematische Zeitschrift.
volum 293.
Academic article
-
Quick, Gereon.
(2018)
Unstable splittings in Hodge filtered Brown-Peterson cohomology.
Journal of Homotopy and Related Structures (JHRS).
volum 14 (2).
Academic article
-
Davis, Daniel G.;
Quick, Gereon.
(2016)
Profinite and discrete G-spectra and iterated homotopy fixed points.
Algebraic and Geometric Topology.
volum 16 (4).
Academic article
-
Quick, Gereon.
(2016)
An Abel-Jacobi invariant for cobordant cycles.
Documenta Mathematica.
volum 21.
Academic article
-
Hopkins, Michael J.;
Quick, Gereon.
(2015)
Hodge filtered complex bordism.
Journal of Topology.
volum 8 (1).
Academic article
-
Quick, Gereon.
(2015)
Existence of rational points as a homotopy limit problem.
Journal of Pure and Applied Algebra.
volum 219 (8).
Academic article
-
Quick, Gereon.
(2013)
Continuous homotopy fixed points for Lubin-Tate spectra.
Homology, Homotopy and Applications.
volum 15 (1).
Academic article
-
Quick, Gereon.
(2013)
Homotopy theory of smooth compactifications of algebraic varieties.
New York journal of mathematics.
volum 19.
Academic article
-
Quick, Gereon.
(2013)
Profinite G-spectra.
Homology, Homotopy and Applications.
volum 15 (1).
Academic article
-
Friedlander, Eric M.;
Quick, Gereon;
Østvær, Paul Arne.
(2011)
Preface to J.K-Theory 7.
Journal of K-Theory.
volum 7 (3).
Abstract
-
Friedlander, Eric M.;
Quick, Gereon;
Østvær, Paul Arne.
(2011)
Special Issue on motivic A1-homotopy theory.
Journal of K-Theory.
volum 7 (3).
Editorial
-
Quick, Gereon.
(2011)
Continuous group actions on profinite spaces.
Journal of Pure and Applied Algebra.
volum 215 (5).
Academic article
-
Quick, Gereon.
(2011)
Torsion algebraic cycles and étale cobordism.
Advances in Mathematics.
volum 227 (2).
Academic article
-
Quick, Gereon.
(2008)
Profinite Homotopy Theory.
Documenta Mathematica.
volum 13.
Academic article
-
Quick, Gereon.
(2007)
Stable étale realization and étale cobordism.
Advances in Mathematics.
volum 214 (2).
Academic article
Books
-
Baas, Nils A.;
Carlsson, Gunnar E;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Topological Data Analysis.
Springer Nature. 2020. ISBN 978-3-030-43407-6. Abel Symposia (15).
Academic anthology/Conference proceedings
Part of book/report
-
Baas, Nils A.;
Carlsson, Gunnar E.;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Preface.
Topological Data Analysis.
Academic chapter/article/Conference paper
-
Quick, Gereon.
(2012)
Some remarks on profinite completion of spaces.
Galois-Teichmüller Theory and Arithmetic Geometry.
Academic chapter/article/Conference paper
Teaching
Courses
- TMA4192 - Differential Topology
- TMA4115 - Mathematics 3 - Linear algebra
- TMA4110 - Mathematics 3 - Linear algebra
Previous teaching
- Lectured courses: Mathematics 1 - Single Variable Calculus; Mathematics 3 - Linear Algebra; Integration, Series and Differential Equations; Quadratic Forms; Manifolds; Introduction to Topology; Differential Topology; Algebraic 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.
Supervision
- 17 Master students
- 12 Bachelor students
- 3 PhD-students
- Currently the main PhD-supervisor of Therese Strand, Eiolf Kaspersen, and Trygve Poppe Oldervoll.
- Mentor for postdoctoral researcher Dr. Glen Matthew Wilson