Gereon Quick
About
Gereon Quick is a professor of mathematics at the Department of Mathematical Sciences and member of the research group Geometry & Topology. He is the head of the study programs BMAT, MSMNFMA and ÅMATSTAT and the head of the study council for mathematics at NTNU.
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 Research Associate at Harvard University
- 2012-2013 Assistant Professor and Interim Full Professor at University of Münster
- 2010-2012 Postdoctoral Research Fellow at Harvard University
- 2007-2010 Assistant Professor at Univ. Münster
- 2005-2007 Postdoctoral Fellow at Univ. 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 Univ. Münster, Germany.
- PhD in Mathematics from Univ. Münster, Germany.
- DEA in Mathematics from Université Pierre et Marie Curie in Paris, France.
- MSc in Mathematics from University of Cambridge, UK.
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
2025
-
Pál, Ambrus;
Quick, Gereon.
(2025)
Quasi-Boolean groups.
Advances in Mathematics
Academic article
-
Pál, Ambrus;
Quick, Gereon.
(2025)
Real projective groups are formal.
Mathematische Annalen
Academic article
-
Barth, Viktor Balch;
Hornslien, William;
Quick, Gereon;
Wilson, Glen Matthew.
(2025)
Making the motivic group structure on the endomorphisms of the projective line explicit.
Advances in Mathematics
Academic article
-
Kaspersen, Eiolf;
Quick, Gereon.
(2025)
On the cokernel of the Thom morphism for compact Lie groups.
Homology, Homotopy and Applications
Academic article
-
Quick, Gereon;
Strand, Therese Konstanse.
(2025)
Computations of the motivic Brouwer degree.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
2024
-
Hornslien, William;
Quick, Gereon;
Szymik, Markus.
(2024)
Topics in Motivic and Toric Homotopy Theory.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Martini, Louis;
Haugseng, Rune;
Quick, Gereon.
(2024)
Internal Higher Category Theory.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Bergtun, Erlend;
Szymik, Markus;
Quick, Gereon.
(2024)
Algebraic Methods in Analysis and Topology.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Flydal, Peter Marius;
Quick, Gereon;
Svanes, Eirik Eik.
(2024)
A Note on Real Line Bundles with Connection and Real Smooth Deligne Cohomology.
Acta Mathematica Vietnamica
Academic article
-
Kaspersen, Eiolf;
Quick, Gereon.
(2024)
On the Thom Morphism for Lie Groups.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Haus, Knut Bjarte;
Quick, Gereon.
(2024)
Geometric pushforward in Hodge filtered complex cobordism and secondary invariants.
Documenta Mathematica
Academic article
2023
-
Pál, Ambrus;
Quick, Gereon.
(2023)
Formality and strong Massey vanishing for real projective groups.
Oberwolfach Reports
Academic article
-
Haus, Knut Bjarte;
Quick, Gereon.
(2023)
Geometric Hodge filtered complex cobordism.
Advances in Mathematics
Academic article
2022
-
Haus, Knut Bjarte;
Quick, Gereon.
(2022)
Geometric Hodge filtered complex cobordism.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Quick, Gereon;
Strand, Therese;
Wilson, Glen Matthew.
(2022)
Representability of the local motivic Brouwer degree.
Mathematica Scandinavica
Academic article
2020
-
Baas, Nils A.;
Carlsson, Gunnar E;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Topological Data Analysis.
Springer Nature
Springer Nature
Academic anthology/Conference proceedings
-
Quick, Gereon;
Bjerkevik, Håvard Bakke.
(2020)
Stability and Complexity in Multi-Parameter Persistence.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Baas, Nils A.;
Carlsson, Gunnar E.;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Preface.
Academic chapter/article/Conference paper
2018
-
Quick, Gereon.
(2018)
Unstable splittings in Hodge filtered Brown-Peterson cohomology.
Journal of Homotopy and Related Structures (JHRS)
Academic article
-
Hopkins, Michael J.;
Quick, Gereon.
(2018)
Algebraic Cycles in Generalized Cohomology Theories.
Oberwolfach Reports
Academic article
-
Quick, Gereon.
(2018)
Examples of non-algebraic classes in the Brown-Peterson tower.
Mathematische Zeitschrift
Academic article
2016
-
Davis, Daniel G.;
Quick, Gereon.
(2016)
Profinite and discrete G-spectra and iterated homotopy fixed points.
Algebraic and Geometric Topology
Academic article
-
Quick, Gereon.
(2016)
An Abel-Jacobi invariant for cobordant cycles.
Documenta Mathematica
Academic article
2015
-
Hopkins, Michael J.;
Quick, Gereon.
(2015)
Hodge filtered complex bordism.
Journal of Topology
Academic article
-
Quick, Gereon.
(2015)
Existence of rational points as a homotopy limit problem.
Journal of Pure and Applied Algebra
Academic article
2013
-
Quick, Gereon.
(2013)
Homotopy theory of smooth compactifications of algebraic varieties.
New York journal of mathematics
Academic article
-
Quick, Gereon.
(2013)
Profinite G-spectra.
Homology, Homotopy and Applications
Academic article
-
Quick, Gereon.
(2013)
Continuous homotopy fixed points for Lubin-Tate spectra.
Homology, Homotopy and Applications
Academic article
2012
-
Quick, Gereon.
(2012)
Some remarks on profinite completion of spaces.
Academic chapter/article/Conference paper
2011
-
Friedlander, Eric M.;
Quick, Gereon;
Østvær, Paul Arne.
(2011)
Special Issue on motivic A1-homotopy theory.
Journal of K-Theory
Editorial
-
Friedlander, Eric M.;
Quick, Gereon;
Østvær, Paul Arne.
(2011)
Preface to J.K-Theory 7.
Journal of K-Theory
Abstract
-
Quick, Gereon.
(2011)
Torsion algebraic cycles and étale cobordism.
Advances in Mathematics
Academic article
-
Quick, Gereon.
(2011)
Continuous group actions on profinite spaces.
Journal of Pure and Applied Algebra
Academic article
2008
-
Quick, Gereon.
(2008)
Profinite Homotopy Theory.
Documenta Mathematica
Academic article
2007
-
Quick, Gereon.
(2007)
Stable étale realization and étale cobordism.
Advances in Mathematics
Academic article
Journal publications
-
Pál, Ambrus;
Quick, Gereon.
(2025)
Quasi-Boolean groups.
Advances in Mathematics
Academic article
-
Pál, Ambrus;
Quick, Gereon.
(2025)
Real projective groups are formal.
Mathematische Annalen
Academic article
-
Barth, Viktor Balch;
Hornslien, William;
Quick, Gereon;
Wilson, Glen Matthew.
(2025)
Making the motivic group structure on the endomorphisms of the projective line explicit.
Advances in Mathematics
Academic article
-
Kaspersen, Eiolf;
Quick, Gereon.
(2025)
On the cokernel of the Thom morphism for compact Lie groups.
Homology, Homotopy and Applications
Academic article
-
Flydal, Peter Marius;
Quick, Gereon;
Svanes, Eirik Eik.
(2024)
A Note on Real Line Bundles with Connection and Real Smooth Deligne Cohomology.
Acta Mathematica Vietnamica
Academic article
-
Haus, Knut Bjarte;
Quick, Gereon.
(2024)
Geometric pushforward in Hodge filtered complex cobordism and secondary invariants.
Documenta Mathematica
Academic article
-
Pál, Ambrus;
Quick, Gereon.
(2023)
Formality and strong Massey vanishing for real projective groups.
Oberwolfach Reports
Academic article
-
Haus, Knut Bjarte;
Quick, Gereon.
(2023)
Geometric Hodge filtered complex cobordism.
Advances in Mathematics
Academic article
-
Quick, Gereon;
Strand, Therese;
Wilson, Glen Matthew.
(2022)
Representability of the local motivic Brouwer degree.
Mathematica Scandinavica
Academic article
-
Quick, Gereon.
(2018)
Unstable splittings in Hodge filtered Brown-Peterson cohomology.
Journal of Homotopy and Related Structures (JHRS)
Academic article
-
Hopkins, Michael J.;
Quick, Gereon.
(2018)
Algebraic Cycles in Generalized Cohomology Theories.
Oberwolfach Reports
Academic article
-
Quick, Gereon.
(2018)
Examples of non-algebraic classes in the Brown-Peterson tower.
Mathematische Zeitschrift
Academic article
-
Davis, Daniel G.;
Quick, Gereon.
(2016)
Profinite and discrete G-spectra and iterated homotopy fixed points.
Algebraic and Geometric Topology
Academic article
-
Quick, Gereon.
(2016)
An Abel-Jacobi invariant for cobordant cycles.
Documenta Mathematica
Academic article
-
Hopkins, Michael J.;
Quick, Gereon.
(2015)
Hodge filtered complex bordism.
Journal of Topology
Academic article
-
Quick, Gereon.
(2015)
Existence of rational points as a homotopy limit problem.
Journal of Pure and Applied Algebra
Academic article
-
Quick, Gereon.
(2013)
Homotopy theory of smooth compactifications of algebraic varieties.
New York journal of mathematics
Academic article
-
Quick, Gereon.
(2013)
Profinite G-spectra.
Homology, Homotopy and Applications
Academic article
-
Quick, Gereon.
(2013)
Continuous homotopy fixed points for Lubin-Tate spectra.
Homology, Homotopy and Applications
Academic article
-
Friedlander, Eric M.;
Quick, Gereon;
Østvær, Paul Arne.
(2011)
Special Issue on motivic A1-homotopy theory.
Journal of K-Theory
Editorial
-
Friedlander, Eric M.;
Quick, Gereon;
Østvær, Paul Arne.
(2011)
Preface to J.K-Theory 7.
Journal of K-Theory
Abstract
-
Quick, Gereon.
(2011)
Torsion algebraic cycles and étale cobordism.
Advances in Mathematics
Academic article
-
Quick, Gereon.
(2011)
Continuous group actions on profinite spaces.
Journal of Pure and Applied Algebra
Academic article
-
Quick, Gereon.
(2008)
Profinite Homotopy Theory.
Documenta Mathematica
Academic article
-
Quick, Gereon.
(2007)
Stable étale realization and étale cobordism.
Advances in Mathematics
Academic article
Books
-
Baas, Nils A.;
Carlsson, Gunnar E;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Topological Data Analysis.
Springer Nature
Springer Nature
Academic anthology/Conference proceedings
Part of book/report
-
Baas, Nils A.;
Carlsson, Gunnar E.;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Preface.
Academic chapter/article/Conference paper
-
Quick, Gereon.
(2012)
Some remarks on profinite completion of spaces.
Academic chapter/article/Conference paper
Report
-
Quick, Gereon;
Strand, Therese Konstanse.
(2025)
Computations of the motivic Brouwer degree.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Hornslien, William;
Quick, Gereon;
Szymik, Markus.
(2024)
Topics in Motivic and Toric Homotopy Theory.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Martini, Louis;
Haugseng, Rune;
Quick, Gereon.
(2024)
Internal Higher Category Theory.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Bergtun, Erlend;
Szymik, Markus;
Quick, Gereon.
(2024)
Algebraic Methods in Analysis and Topology.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Kaspersen, Eiolf;
Quick, Gereon.
(2024)
On the Thom Morphism for Lie Groups.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Haus, Knut Bjarte;
Quick, Gereon.
(2022)
Geometric Hodge filtered complex cobordism.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
-
Quick, Gereon;
Bjerkevik, Håvard Bakke.
(2020)
Stability and Complexity in Multi-Parameter Persistence.
Norges teknisk-naturvitenskapelige universitet
Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
Teaching
Courses
- TMA4192 - Differential Topology
- MA3001 - Mathematical Seminar for Master Degree Students 1
- MA2002 - Bachelor's Project in Mathematical Studies
- MA3004 - Mathematical Seminar for Master Degree Students 3
- TMA4115 - Mathematics 3 - Linear algebra
- MA3003 - Mathematical Seminar for Master Degree Students 2
- MA3911 - Master Thesis in Mathematical Sciences
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
- 19 Master students
- 14 Bachelor students
- 9 PhD-students
- Currently the main PhD-supervisor of Trygve Poppe Oldervoll.
- Mentor for postdoctoral researcher Dr. Glen Matthew Wilson
Outreach
2025
-
Academic lectureQuick, Gereon. (2025) Massey products and formality for real projective groups. Mittagsseminar zur Arithmetik , University of Münster 2025-05-20 - 2025-05-20
2024
-
Academic lectureQuick, Gereon. (2024) Massey products and formality of real projective groups. Motivic Homotopy in Interaction , Luminy 2024-11-04 - 2024-11-08
2023
-
Academic lectureQuick, Gereon. (2023) Geometric Hodge filtered complex cobordism. Geometry, Topology, and Physics Series (GTP) , Abu Dhabi, UAE 2023-03-08 - 2023-03-08
-
Academic lectureQuick, Gereon. (2023) Real projective groups are formal. Motivic and equivariant homotopy theory , Swansea 2023-05-15 - 2023-05-17
-
Academic lectureQuick, Gereon. (2023) On counting and adding points quadratically. NMF Annual Meeting , Bergen 2023-09-15 - 2023-09-15
-
Academic lectureQuick, Gereon. (2023) On counting and adding points quadratically. Algebra & Geometry Seminar , Tromsø 2023-11-16 - 2023-11-16
-
Academic lectureQuick, Gereon. (2023) Real projective groups are formal. MFO-RIMS Tandem Workshop 2023 , Oberwolfach and Kyoto 2023-09-24 - 2023-09-29
2021
-
Academic lectureQuick, Gereon. (2021) From rational points to homotopy fixed points. Research Seminar: Algebra, Geometry & Physics , Berlin/Bonn 2021-03-23 - 2021-03-23
2019
-
Academic lectureQuick, Gereon. (2019) Examples of non-algebraic classes in the Brown-Peterson tower. Colloque 2019 du GDR 2875, Topologie Algébrique et Applications , Arras 2019-10-28 - 2019-10-31
2018
-
Academic lectureQuick, Gereon. (2018) Examples of non-algebraic classes in the Brown-Peterson tower. Derived algebraic geometry and chromatic homotopy theory , Isaac Newton Institute in Cambridge, UK 2018-09-24 - 2018-09-28
-
Academic lectureQuick, Gereon. (2018) Algebraic vs topological classes. Norsk matematikkermøte 2018 , Bergen 2018-09-13 - 2018-09-14
-
Academic lectureQuick, Gereon. (2018) Algebraic cycles in generalized cohomology theories. Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups , Mathematisches Forschungsinstitut Oberwolfach 2018-04-15 - 2018-04-21
2017
-
Academic lectureQuick, Gereon. (2017) On detecting algebraic classes in generalised cohomology theories. Topology Seminar , Institut Galilee - Paris XIII 2017-09-14 - 2017-09-14
-
Academic lectureQuick, Gereon. (2017) Examples of non-algebraic classes in the Brown-Peterson tower. Algebro-Geometric and Homotopical Methods , Institut Mittag-Leffler 2017-04-20 - 2017-04-20
-
Academic lectureQuick, Gereon. (2017) Examples of non-algebraic classes in the Brown-Peterson tower. Guest Seminar Arithmetic Geometry , Freie Universität Berlin 2017-11-16 - 2017-11-16
2016
-
Academic lectureQuick, Gereon. (2016) From rational points to homotopy fixed points. Workshop on Grothendieck-Teichmüller Theories , Chern Institute of Mathematics 2016-07-24 - 2016-07-30
-
Academic lectureQuick, Gereon. (2016) Generalized Deligne-Beilinson cohomology and regulators. Arithmetic L-functions and Differential Geometric Methods (Regulators IV) , Institut Mathematiques de Jussieu, Paris 2016-05-23 - 2016-05-28
-
Academic lectureQuick, Gereon. (2016) On some invariants for algebraic cobordism cycles. International Workshop on Motives , University of Tokyo 2016-02-15 - 2016-02-19
-
Academic lectureQuick, Gereon. (2016) On topological invariants for algebraic cobordism. 27th Nordic Congress of Mathematicians , Institut Mittag-Leffler, Stockholm 2016-03-16 - 2016-03-20
-
Academic lectureQuick, Gereon. (2016) Topological and arithmetic invariants for algebraic cobordism cycles. UiO Topology Seminar , Universitet i Oslo 2016-10-18 - 2016-10-18
2015
-
Academic lectureQuick, Gereon. (2015) Iterated continuous homotopy fixed points. Nordic Topology Meeting 2015 , Stockholm Topology Center 2015-08-27 - 2015-08-28
-
Academic lectureQuick, Gereon. (2015) The Abel-Jacobi map revisited. Mathematics Colloquium , Ricky University Tokyo 2015-12-14 - 2015-12-14
-
Academic lectureQuick, Gereon. (2015) The Abel-Jacobi map in motivic homotopy theory. Mathematics Colloquium , KAIST Daejeon 2015-12-10 - 2015-12-10
-
Academic lectureQuick, Gereon. (2015) An introduction to etale homotopy theory, Part 3: Applications. Topology Seminar , NTNU 2015-02-27 - 2015-02-27
-
Academic lectureQuick, Gereon. (2015) An introduction to etale homotopy theory, Part 2: Constructions. Topology Seminar , NTNU 2015-02-16 - 2015-02-16
-
Academic lectureQuick, Gereon. (2015) Continuous homotopy fixed points of Lubin-Tate spectra. Topology Seminar , NTNU 2015-09-07 - 2015-09-07
-
Academic lectureQuick, Gereon. (2015) An introduction to etale homotopy theory: Motivation. Topology Seminar , NTNU 2015-02-09 - 2015-02-09
2014
-
Academic lectureQuick, Gereon. (2014) Abel-Jacobi maps and homotopy theory. Nordic Topology Meeting 2014 , Trondheim 2014-11-27 - 2014-11-28