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
2026
-
Oldervoll, Trygve Poppe;
Quick, Gereon;
Haugseng, Rune.
(2026)
Higher Categories in Floer Homotopy Theory.
NTNU Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Djurhuus, Eivind Xu;
Quick, Gereon.
(2026)
Non-realizability of a triple Massey product for the algebra F<inf>2</inf>[a,b,c]/(ab, bc).
New York journal of mathematics
Academic article
-
Djurhuus, Eivind Xu;
Quick, Gereon.
(2026)
Non-realizability of a triple Massey product for the algebra F_2[a,b,c]/(ab,bc).
New York journal of mathematics
Academic article
2025
-
Kaspersen, Eiolf;
Quick, Gereon.
(2025)
Geometric representation of cohomology classes for the Lie groups Spin(7) and Spin(8) – Gradmath.
The Graduate Journal of Mathematics
Academic article
-
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
-
Balch Barth, Viktor;
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
Doctoral thesis
2024
-
Hornslien, William;
Quick, Gereon;
Szymik, Markus.
(2024)
Topics in Motivic and Toric Homotopy Theory.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Martini, Louis;
Haugseng, Rune;
Quick, Gereon.
(2024)
Internal Higher Category Theory.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Bergtun, Erlend;
Szymik, Markus;
Quick, Gereon.
(2024)
Algebraic Methods in Analysis and Topology.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
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
Doctoral thesis
-
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
Doctoral thesis
-
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
Anthology
-
Quick, Gereon;
Bjerkevik, Håvard Bakke.
(2020)
Stability and Complexity in Multi-Parameter Persistence.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Baas, Nils A.;
Carlsson, Gunnar E.;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Preface.
Academic chapter
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
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
Conference 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
-
Djurhuus, Eivind Xu;
Quick, Gereon.
(2026)
Non-realizability of a triple Massey product for the algebra F<inf>2</inf>[a,b,c]/(ab, bc).
New York journal of mathematics
Academic article
-
Djurhuus, Eivind Xu;
Quick, Gereon.
(2026)
Non-realizability of a triple Massey product for the algebra F_2[a,b,c]/(ab,bc).
New York journal of mathematics
Academic article
-
Kaspersen, Eiolf;
Quick, Gereon.
(2025)
Geometric representation of cohomology classes for the Lie groups Spin(7) and Spin(8) – Gradmath.
The Graduate Journal of Mathematics
Academic article
-
Pál, Ambrus;
Quick, Gereon.
(2025)
Quasi-Boolean groups.
Advances in Mathematics
Academic article
-
Quick, Gereon.
(2018)
Unstable splittings in Hodge filtered Brown-Peterson cohomology.
Journal of Homotopy and Related Structures (JHRS)
Academic article
-
Pál, Ambrus;
Quick, Gereon.
(2025)
Real projective groups are formal.
Mathematische Annalen
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.
(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
-
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
Conference abstract
-
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
-
Hopkins, Michael J.;
Quick, Gereon.
(2018)
Algebraic Cycles in Generalized Cohomology Theories.
Oberwolfach Reports
Academic article
-
Quick, Gereon.
(2008)
Profinite Homotopy Theory.
Documenta Mathematica
Academic article
-
Quick, Gereon.
(2013)
Continuous homotopy fixed points for Lubin-Tate spectra.
Homology, Homotopy and Applications
Academic article
-
Pál, Ambrus;
Quick, Gereon.
(2023)
Formality and strong Massey vanishing for real projective groups.
Oberwolfach Reports
Academic article
-
Balch Barth, Viktor;
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
-
Quick, Gereon;
Strand, Therese;
Wilson, Glen Matthew.
(2022)
Representability of the local motivic Brouwer degree.
Mathematica Scandinavica
Academic article
-
Hopkins, Michael J.;
Quick, Gereon.
(2015)
Hodge filtered complex bordism.
Journal of Topology
Academic article
-
Quick, Gereon.
(2018)
Examples of non-algebraic classes in the Brown-Peterson tower.
Mathematische Zeitschrift
Academic article
-
Quick, Gereon.
(2007)
Stable étale realization and étale cobordism.
Advances in Mathematics
Academic article
-
Quick, Gereon.
(2011)
Torsion algebraic cycles and étale cobordism.
Advances in Mathematics
Academic article
-
Quick, Gereon.
(2015)
Existence of rational points as a homotopy limit problem.
Journal of Pure and Applied Algebra
Academic article
-
Haus, Knut Bjarte;
Quick, Gereon.
(2024)
Geometric pushforward in Hodge filtered complex cobordism and secondary invariants.
Documenta Mathematica
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.
(2011)
Continuous group actions on profinite spaces.
Journal of Pure and Applied Algebra
Academic article
-
Haus, Knut Bjarte;
Quick, Gereon.
(2023)
Geometric Hodge filtered complex cobordism.
Advances in Mathematics
Academic article
-
Quick, Gereon.
(2016)
An Abel-Jacobi invariant for cobordant cycles.
Documenta Mathematica
Academic article
Books
-
Baas, Nils A.;
Carlsson, Gunnar E;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Topological Data Analysis.
Springer Nature
Anthology
Part of book/report
-
Baas, Nils A.;
Carlsson, Gunnar E.;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Preface.
Academic chapter
-
Quick, Gereon.
(2012)
Some remarks on profinite completion of spaces.
Academic chapter
Student thesis or dissertation
-
Oldervoll, Trygve Poppe;
Quick, Gereon;
Haugseng, Rune.
(2026)
Higher Categories in Floer Homotopy Theory.
NTNU Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Hornslien, William;
Quick, Gereon;
Szymik, Markus.
(2024)
Topics in Motivic and Toric Homotopy Theory.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Martini, Louis;
Haugseng, Rune;
Quick, Gereon.
(2024)
Internal Higher Category Theory.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Bergtun, Erlend;
Szymik, Markus;
Quick, Gereon.
(2024)
Algebraic Methods in Analysis and Topology.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Quick, Gereon;
Bjerkevik, Håvard Bakke.
(2020)
Stability and Complexity in Multi-Parameter Persistence.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Kaspersen, Eiolf;
Quick, Gereon.
(2024)
On the Thom Morphism for Lie Groups.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Haus, Knut Bjarte;
Quick, Gereon.
(2022)
Geometric Hodge filtered complex cobordism.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
-
Quick, Gereon;
Strand, Therese Konstanse.
(2025)
Computations of the motivic Brouwer degree.
Norges teknisk-naturvitenskapelige universitet
Doctoral thesis
Teaching
Courses
- MA3001 - Mathematical Seminar for Master Degree Students 1
- MA2002 - Bachelor's Project in Mathematical Studies
- TMA4400 - Mathematics 1: Calculus and Linear Algebra
- MA3004 - Mathematical Seminar for Master Degree Students 3
- 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
- 22 Master students
- 15 Bachelor students
- 10 PhD-students
- Currently the main PhD-supervisor of Trygve Poppe Oldervoll.
- Mentor for postdoctoral researcher Dr. Glen Matthew Wilson
Outreach
2026
-
Conference lectureQuick, Gereon. (2026) A_3-formality and Massey products for Demushkin groups. Higher Homotopy Algebras in Topology III
-
Lecture
2025
-
Conference lectureQuick, Gereon. (2025) Massey products and formality for real projective groups. Mittagsseminar zur Arithmetik
2024
-
Conference lectureQuick, Gereon. (2024) Massey products and formality of real projective groups. Motivic Homotopy in Interaction
2023
-
Conference lectureQuick, Gereon. (2023) Geometric Hodge filtered complex cobordism. Geometry, Topology, and Physics Series (GTP)
-
Conference lecture
-
Conference lecture
-
Conference lecture
-
Conference lecture
2021
-
Conference lectureQuick, Gereon. (2021) From rational points to homotopy fixed points. Research Seminar: Algebra, Geometry & Physics
2019
-
Conference lectureQuick, Gereon. (2019) Examples of non-algebraic classes in the Brown-Peterson tower. Colloque 2019 du GDR 2875, Topologie Algébrique et Applications
2018
-
Conference lectureQuick, Gereon. (2018) Examples of non-algebraic classes in the Brown-Peterson tower. Derived algebraic geometry and chromatic homotopy theory
-
Conference lecture
-
Conference lectureQuick, Gereon. (2018) Algebraic cycles in generalized cohomology theories. Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups
2017
-
Conference lectureQuick, Gereon. (2017) On detecting algebraic classes in generalised cohomology theories. Topology Seminar
-
Conference lectureQuick, Gereon. (2017) Examples of non-algebraic classes in the Brown-Peterson tower. Algebro-Geometric and Homotopical Methods
-
Conference lectureQuick, Gereon. (2017) Examples of non-algebraic classes in the Brown-Peterson tower. Guest Seminar Arithmetic Geometry
2016
-
Conference lectureQuick, Gereon. (2016) From rational points to homotopy fixed points. Workshop on Grothendieck-Teichmüller Theories
-
Conference lectureQuick, Gereon. (2016) Generalized Deligne-Beilinson cohomology and regulators. Arithmetic L-functions and Differential Geometric Methods (Regulators IV)
-
Conference lectureQuick, Gereon. (2016) On some invariants for algebraic cobordism cycles. International Workshop on Motives
-
Conference lectureQuick, Gereon. (2016) On topological invariants for algebraic cobordism. 27th Nordic Congress of Mathematicians
-
Conference lectureQuick, Gereon. (2016) Topological and arithmetic invariants for algebraic cobordism cycles. UiO Topology Seminar
2015
-
Conference lecture
-
Conference lecture
-
Conference lecture
-
Conference lectureQuick, Gereon. (2015) An introduction to etale homotopy theory, Part 3: Applications. Topology Seminar
-
Conference lectureQuick, Gereon. (2015) An introduction to etale homotopy theory, Part 2: Constructions. Topology Seminar
-
Conference lecture
-
Conference lecture
2014
-
Conference lecture