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 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
-
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
-
Pál, Ambrus;
Quick, Gereon.
(2025)
Real projective groups are formal.
Mathematische Annalen
Academic article
2024
-
Kaspersen, Eiolf;
Quick, Gereon.
(2024)
On the Thom morphism for Lie Groups.
Doctoral theses at NTNU (321)
Doctoral dissertation
-
Bergtun, Erlend;
Szymik, Markus;
Quick, Gereon.
(2024)
Algebraic Methods in Analysis and Topology.
Doctoral theses at NTNU (339)
Doctoral dissertation
-
Martini, Louis;
Haugseng, Rune;
Quick, Gereon.
(2024)
Internal Higher Category Theory.
Doctoral theses at NTNU (251)
Doctoral dissertation
-
Hornslien, William;
Quick, Gereon;
Szymik, Markus.
(2024)
Topics in Motivic and Toric Homotopy Theory.
Doctoral theses at NTNU (368)
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
-
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.
Doctoral theses at NTNU (238)
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
Abel Symposia (15)
Academic anthology/Conference proceedings
-
Baas, Nils A.;
Carlsson, Gunnar E.;
Quick, Gereon;
Szymik, Markus;
Thaule, Marius.
(2020)
Preface.
Springer Nature
Academic chapter/article/Conference paper
-
Quick, Gereon;
Bjerkevik, Håvard Bakke.
(2020)
Stability and Complexity in Multi-Parameter Persistence.
Doktoravhandlinger ved NTNU (185)
Doctoral dissertation
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
-
Quick, Gereon.
(2015)
Existence of rational points as a homotopy limit problem.
Journal of Pure and Applied Algebra
Academic article
-
Hopkins, Michael J.;
Quick, Gereon.
(2015)
Hodge filtered complex bordism.
Journal of Topology
Academic article
2013
-
Quick, Gereon.
(2013)
Continuous homotopy fixed points for Lubin-Tate spectra.
Homology, Homotopy and Applications
Academic article
-
Quick, Gereon.
(2013)
Profinite G-spectra.
Homology, Homotopy and Applications
Academic article
-
Quick, Gereon.
(2013)
Homotopy theory of smooth compactifications of algebraic varieties.
New York journal of mathematics
Academic article
2012
-
Quick, Gereon.
(2012)
Some remarks on profinite completion of spaces.
American Mathematical Society (AMS)
Academic chapter/article/Conference paper
2011
-
Quick, Gereon.
(2011)
Continuous group actions on profinite spaces.
Journal of Pure and Applied Algebra
Academic article
-
Quick, Gereon.
(2011)
Torsion algebraic cycles and étale cobordism.
Advances in Mathematics
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
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
-
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
-
Pál, Ambrus;
Quick, Gereon.
(2025)
Real projective groups are formal.
Mathematische Annalen
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
-
Quick, Gereon.
(2015)
Existence of rational points as a homotopy limit problem.
Journal of Pure and Applied Algebra
Academic article
-
Hopkins, Michael J.;
Quick, Gereon.
(2015)
Hodge filtered complex bordism.
Journal of Topology
Academic article
-
Quick, Gereon.
(2013)
Continuous homotopy fixed points for Lubin-Tate spectra.
Homology, Homotopy and Applications
Academic article
-
Quick, Gereon.
(2013)
Profinite G-spectra.
Homology, Homotopy and Applications
Academic article
-
Quick, Gereon.
(2013)
Homotopy theory of smooth compactifications of algebraic varieties.
New York journal of mathematics
Academic article
-
Quick, Gereon.
(2011)
Continuous group actions on profinite spaces.
Journal of Pure and Applied Algebra
Academic article
-
Quick, Gereon.
(2011)
Torsion algebraic cycles and étale cobordism.
Advances in Mathematics
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.
(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
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.
Springer Nature
Academic chapter/article/Conference paper
-
Quick, Gereon.
(2012)
Some remarks on profinite completion of spaces.
American Mathematical Society (AMS)
Academic chapter/article/Conference paper
Report
-
Kaspersen, Eiolf;
Quick, Gereon.
(2024)
On the Thom morphism for Lie Groups.
Doctoral theses at NTNU (321)
Doctoral dissertation
-
Bergtun, Erlend;
Szymik, Markus;
Quick, Gereon.
(2024)
Algebraic Methods in Analysis and Topology.
Doctoral theses at NTNU (339)
Doctoral dissertation
-
Martini, Louis;
Haugseng, Rune;
Quick, Gereon.
(2024)
Internal Higher Category Theory.
Doctoral theses at NTNU (251)
Doctoral dissertation
-
Hornslien, William;
Quick, Gereon;
Szymik, Markus.
(2024)
Topics in Motivic and Toric Homotopy Theory.
Doctoral theses at NTNU (368)
Doctoral dissertation
-
Haus, Knut Bjarte;
Quick, Gereon.
(2022)
Geometric Hodge filtered complex cobordism.
Doctoral theses at NTNU (238)
Doctoral dissertation
-
Quick, Gereon;
Bjerkevik, Håvard Bakke.
(2020)
Stability and Complexity in Multi-Parameter Persistence.
Doktoravhandlinger ved NTNU (185)
Doctoral dissertation
Teaching
Courses
- TMA4192 - Differential Topology
- MA3004 - Mathematical Seminar for Master Degree Students 3
- MA2002 - Bachelor's Project in Mathematical Studies
- TMA4115 - Mathematics 3 - Linear algebra
- TMA4100 - Mathematics 1 - Single variable calculus
- 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
- 18 Master students
- 14 Bachelor students
- 7 PhD-students
- Currently the main PhD-supervisor of Therese Strand and Trygve Poppe Oldervoll.
- Mentor for postdoctoral researcher Dr. Glen Matthew Wilson
Outreach
2024
-
Academic lectureQuick, Gereon. (2024) Massey products and formality of real projective groups. CIRM Motivic Homotopy in Interaction , Luminy 2024-11-04 - 2024-11-08
2023
-
Academic lectureQuick, Gereon. (2023) On counting and adding points quadratically. Universitet i Tromsø Algebra & Geometry Seminar , Tromsø 2023-11-16 - 2023-11-16
-
Academic lectureQuick, Gereon. (2023) Real projective groups are formal. Swansea University Motivic and equivariant homotopy theory , Swansea 2023-05-15 - 2023-05-17
-
Academic lectureQuick, Gereon. (2023) Geometric Hodge filtered complex cobordism. New York University Abu Dhabi Geometry, Topology, and Physics Series (GTP) , Abu Dhabi, UAE 2023-03-08 - 2023-03-08
-
Academic lectureQuick, Gereon. (2023) On counting and adding points quadratically. Norsk Matematisk Forening NMF Annual Meeting , Bergen 2023-09-15 - 2023-09-15
-
Academic lectureQuick, Gereon. (2023) Real projective groups are formal. MFO Oberwolfach and RIMS Kyoto 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. Max-Planck-Institut Math, Bonn/Humboldt Universitaet Berlin 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. Groupe de recherche 2875 CNRS Colloque 2019 du GDR 2875, Topologie Algébrique et Applications , Arras 2019-10-28 - 2019-10-31
2018
-
Academic lectureQuick, Gereon. (2018) Algebraic cycles in generalized cohomology theories. Mathematisches Forschungsinstitut Oberwolfach Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups , Mathematisches Forschungsinstitut Oberwolfach 2018-04-15 - 2018-04-21
-
Academic lectureQuick, Gereon. (2018) Examples of non-algebraic classes in the Brown-Peterson tower. Isaac Newton Institute in Cambridge, UK 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. BFS-TFS and NMF Norsk matematikkermøte 2018 , Bergen 2018-09-13 - 2018-09-14
2017
-
Academic lectureQuick, Gereon. (2017) On detecting algebraic classes in generalised cohomology theories. Groupe Topologie Algebrique Paris XIII 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. Institut Mittag-Leffler 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. Arithmetic Geometry Group FU Berlin Guest Seminar Arithmetic Geometry , Freie Universität Berlin 2017-11-16 - 2017-11-16
2016
-
Academic lectureQuick, Gereon. (2016) Topological and arithmetic invariants for algebraic cobordism cycles. Topology and Geometry Group UiO UiO Topology Seminar , Universitet i Oslo 2016-10-18 - 2016-10-18
-
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) 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) 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) On some invariants for algebraic cobordism cycles. Shuji Saito, Tomohida Terasoma, Thomas Geisser International Workshop on Motives , University of Tokyo 2016-02-15 - 2016-02-19
2015
-
Academic lectureQuick, Gereon. (2015) The Abel-Jacobi map in motivic homotopy theory. Mathematics Department KAIST Mathematics Colloquium , KAIST Daejeon 2015-12-10 - 2015-12-10
-
Academic lectureQuick, Gereon. (2015) Iterated continuous homotopy fixed points. Tilman Bauer, Alexander Berglund, Wojciech Chachólski Nordic Topology Meeting 2015 , Stockholm Topology Center 2015-08-27 - 2015-08-28
-
Academic lectureQuick, Gereon. (2015) The Abel-Jacobi map revisited. Mathematics Department Rikkyo University Mathematics Colloquium , Ricky University Tokyo 2015-12-14 - 2015-12-14
-
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
-
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) An introduction to etale homotopy theory, Part 3: Applications. Topology Seminar , NTNU 2015-02-27 - 2015-02-27
2014
-
Academic lectureQuick, Gereon. (2014) Abel-Jacobi maps and homotopy theory. Nils A. Baas, Marius Thaule Nordic Topology Meeting 2014 , Trondheim 2014-11-27 - 2014-11-28