Gereon Quick

Contact

See my NTNU profile.

Selected Academic Service

• I am currently the head of the study programs for mathematics at the IE faculty.
• Since 2018 I have been a member of the scientific committee at NTNU for the funding applications for the project Pure Mathematics in Norway.
• I have provided expert opinions and written referee reports for more than 30 research articles submitted to a variety of international jornals - among others Advances in Mathematics, Annals of Mathematics, Compositio Mathematica, Documenta Mathematica, Forum of Mathematics Pi, Journal für Reine und Angewandte Mathematik, and Journal of Topology.
• In 2023 I started to write reviews for MathSciNet.
• I served as a reviewer for various international research grant proposals.
• I am a member of the Norwegian Mathematical Society and the AMS.
• I regularly serve as an external examiner for Bachelor and Master theses and exams at UiO, UiB, UiS, and UiT.
• External evaluation committee for an Associate Professorship at University of Oslo 2020
• I was the head of the Geometry & Topology group at NTNU 2019-2022.

Short CV

Academic Positions

• 2019– Professor at NTNU
• 2015–2019 Associate Professor at NTNU
• Fall 2014 DFG-Research Fellow at LMU München
• Spring 2014 Research Associate at Harvard University
• 2013 Interim Full Professor at University of Münster
• 2010–2012 Postdoctoral Research Fellow at Harvard University
• 2005–2010 Postdoctoral Fellow at University of Münster

Paternity leaves

• May 2019 – Jan 2020 and June – December 2022

Education and Academic Degrees

• PhD and Habilitation in Mathematics at
  University of Münster
• Diplôme d’études approfondis - Méthodes algébriques at
  Sorbonne Université Paris
• Certificate of Advanced Study in Mathematics (Part III of Mathematical Tripos) at 
  University of Cambridge
• Undergraduate studies at
  University of Heidelberg

Long term research visits at

• Harvard University
• Institut Mittag-Leffler Stockholm
• RIMS Kyoto
• Institute for Advanced Study Princeton
• University of Tokyo
• Institut Henri Poincaré Paris

Lecture Notes

• Notes from my lectures on Differential Topology in Spring 2024.

• Notes from my lectures on Algebraic Topology in Fall 2018.

• Notes from my lectures on Characteristic classes, K-theory and the Adams conjecture in Spring 2014 - Advanced Algebraic Topology Math231br at Harvard University.

• Slides of a lecture series on étale homotopy theory in Heidelberg in March 2014:
  
  • Lecture 1: Motivation
    
  • Lecture 2: Construction
    
  • Lecture 3: Applications

Slides from selected recent talks

• Massey products and formality for real projective groups
  Motivic homotopy in interaction at CIRM Luminy in November 2024

• Real projective groups are formal
  MFO-RIMS Tandem Workshop in September 2023

• On counting and adding points quadratically
  NMF Annual Meeting in Bergen in September 2023

• Real projective groups are formal - video
  Motivic and Equivariant Topology at Swansea University in May 2023

• Geometric Hodge filtered complex cobordism - video
  Geometry, Topology & Physics Seminar at NYU Abu Dhabi in March 2023

• From rational points to homotopy fixed points
  HU Berlin/MPIM Bonn in March 2021

• Examples of non-algebraic classes in the Brown-Peterson tower
  Isaac Newton Institute in Cambridge in September 2018

• Algebraic vs topological classes
  100th anniversary of the NMF in Bergen in September 2018

• Algebraic cycles in generalized cohomology theories
  MF Oberwolfach in April 2018

Past projects

Mentoring of postdoctoral researchers

• 2018–2021: Dr. Glen Matthew Wilson
  Dr. Wilson is now a Senior Lecturer at Arctic University in Tromsø.

PhD supervision

• 2020–2024: Eiolf Kaspersen
  Thesis: On the Thom morphism for Lie groups
  After the PhD, Dr. Kaspersen started a position as a lecturer at OsloMet.

• 2020–2024: William Hornslien (as co-supervisor)
  Thesis: Topics in Motivic and Toric Homotopy Theory
  After the PhD, Dr. Hornslien started a postdoc in Grenoble, France.

• 2020–2024: Erlend Bergtun (as co-supervisor)
  Thesis: Algebraic Methods in Analysis and Topology
  After the PhD, Dr. Bergtun started to work at Kongsberg Defence & Aerospace.

• 2020–2024: Louis Martini (as co-supervisor)
  Thesis: Internal higher category theory
  After the PhD, Dr. Martini started to work at Lifeware in Zurich.

• 2020–2022: Peter Marius Flydal
  After writing a first research paper, Peter decided in 2022 to seek a new challenge.
  He ended his PhD-position and became a researcher at a cybersecurity company.

• 2018–2022: Knut Bjarte Haus
  Thesis: Geometric Hodge filtered complex cobordism
  After the PhD, Dr. Haus started a job in an artificial intelligence start-up.

• 2016–2020: Håvard Bakke Bjerkevik
  Thesis: Stability and Complexity in Multi-Parameter Persistence
  After the PhD, Dr. Bjerkevik has held various research positions
  and is now an assistant professor at NYU Albany.

• 2015–2020: Erik Rybakken (as co-supervisor)
  Thesis: Topological Data Analysis with Applications to Neuroscience
  After the PhD, Dr. Rybakken started a job as a data analyst.

Here is my Mathematics Genealogy.

Master theses

• 2021–2023: Elias Klakken Angelsen
  Thesis: On differential cohomology and geometric Hodge-filtered K-theory
  Elias was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. He is now a PhD-candidate at UiO.

• 2020–2022: Trygve Poppe Oldervoll
  Thesis: Concerning some aspects of twisted generating functions
  Trygve’s Master project was awarded funding by the project Pure Math in Norway for a two months visit at MIT with mentor Prof. Alvarez-Gavela. Trygve was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. He is now a PhD-candidate at NTNU.

• 2019–2021: Torgeir Aambø
  Thesis: On formal DG-algebras
  Torgeir is now a PhD-candidate at NTNU.

• 2019–2021: Anders Alexander Andersen
  Thesis: Simplicial sheaves and classification problems
  Anders is now a data scientist in Copenhagen.

• 2018–2020: Therese Strand (co-supervision with Glen Matthew Wilson)
  Thesis: Representativity results in motivic degree theory
  Therese is now a PhD-candidate at NTNU.

• 2018–2020: Eiolf Kaspersen
  Thesis: Obstructions to the surjectivity of the Thom homomorphism
  Eiolf completed a PhD in Mathematics at NTNU in 2024.

• 2018–2020: Viktor Balch Barth (co-supervision with Glen Matthew Wilson)
  Thesis: Naive motivic homotopy classes of endomorphisms of the projective line
  His Master thesis was supported by an Abel stipend. Viktor completed a PhD in Mathematics at the University in Oslo in 2023.

• 2018–2020: William Hornslien (co-supervision with Glen Matthew Wilson)
  Thesis: Computing motivic homotopy classes on the projective line by algebro- geometric methods
  William completed a PhD in Mathematics at NTNU in 2024.

• 2019–2020: Eirik Hjelvik
  Thesis: A detailed account of Behrens’ proof of Bott periodicity

• 2019–2020: Erlend Bergtun
  Thesis: New cohomology groups for G_2-manifolds
  Erlend was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. He completed a PhD in Mathematics at NTNU in 2024.

• 2018–2019: Jarl Gunnar Taxerås Flaten
  Thesis: Fibrations of Categories
  After his Masters Jarl got a PhD at the University of Western Ontario, London, CA, and is now a researcher at SINTEF.

• 2018–2019: Peter Marius Flydal
  Thesis: A classifying space for principal G-bundles in the category of simplicial presheaves
  After finishing his thesis, Peter passed the Part III of Mathematical Tripos at University of Cambridge. Peter was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. He is now a researcher at mnemonic in Oslo.

• 2016–2018: Eivind Otto Hjelle
  Thesis: The slice spectral sequence for KR-theory
  His Master thesis was supported by an Abel stipend. Eivind was awarded the Stubban Prize for the best Master student in Mathematics at NTNU. Eivind is now a PhD-candidate at Northwestern University.

• 2016–2017: Knut Bjarte Haus
  Thesis: Differentiable Strutures on Spheres and the Kervaire Invariant
  Knut completed a PhD in Mathematics at NTNU in 2022.

• 2015–2016: Håvard Bakke Bjerkevik
  Thesis: Stability of Persistence Modules
  After his Master Håvard became a PhD-candidate at NTNU.

• 2015–2016: Magdalena Mayerhoffer
  Thesis: Optimised point counting on elliptic curves over finite fields
  After finishing her thesis, Magdalena worked for a brief period at an insurance company in Münster, Germany, before biking around the world and now runs a Youtube-channel on mathematics.

• 2015: Marte Lovise Nilsen (co-supervision with Richard Williamson)
  Thesis: 2-Braids and a categorification of the Kauffman bracket polynomial

• 2014–2015: Saskia Stahl
  Thesis: The local-global principle in arithmetic geometry
  Saskia is now a System Architect working in Oslo.

Bachelor theses

• 2022–2023: Eivind Xu Djurhuus
  Thesis: Local Class Field Theory via Lubin- Tate formal groups

• 2022–2023: Martin Löcsei
  Thesis: Abstract Homotopy Theory of Smooth Manifolds

• 2018–2019: Torgeir Aambø
  Thesis: Naive homotopy theory for schemes

• 2018–2019: Sigurd Gaukstad
  Thesis: Bott Periodicity and its applications to \(K\)-theory

• 2018–2019: Anders Alexander Andersen
  Thesis: Cobordism Theory - An Introduction to Topological Pants

• 2010–2014: I have in addition supervised 9 Bachelor theses on various topics at the University of Münster, Germany.

StudForsk projects

• 2020: Anders Alexander Andersen
  Project: Algebraic cell decompositions via torus actions

Recent guests at NTNU

• Dustin Clausen
• Benjamin Collas
• Elden Elmanto
• Ambrus Pál
• Tomer Schlank
• Jonas Stelzig

Conferences, events, seminars

• Co-organizer of the Abel Symposium 2025, 23–27 June 2025 at NTNU.

• Mittagsseminar zur Arithmetik, 20 May 2025 at University of Münster.

• Motivic homotopy in interaction, 4–8 November 2024 at CIRM Luminy.

• Co-organizer of the Norwegian Topology Meeting, 15–16 August 2024 at NTNU.

• Algebra & Geometry Seminar, 16 November 2023 at Arctic University in Tromsø.

• MFO-RIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory, 24–29 September 2023 at MF Oberwolfach - poster.

• NMF Annual Meeting, 15 September 2023 in Bergen.

• Homotopy Theory in Trondheim, 26–30 June 2023 at NTNU.

• A Panorama of Homotopy Theory — A Conference in Honour of Mike Hopkins, 05–09 June 2023 at Oxford University.

• Conference on Motivic and Equivariant Topology, 15–17 May 2023 at Swansea University, UK.

• Geometry, Topology & Physics (GTP) Seminar, 08 March 2023 at New York University Abu Dhabi, UAE.

• Online research seminar : Algebra, Geometry & Physics, 23 March 2021 at MPIM Bonn/HU Berlin.

• Colloque 2019 du GDR 2875, Topologie Algébrique et Applications, 28–31 October 2019 at Université d’Artois, France.

• Workshop: Algebraic K-Theory, 23–29 June 2019 at MF Oberwolfach.

• Derived algebraic geometry and chromatic homotopy theory, 24–28 September 2018 at Isaac Newton Institute in Cambridge, UK.

• Pure mathematics in Norway - Norsk matematisk forenings 100 års-jubileum, 13–14 September in Bergen.

• Co-organizer of the Abel Symposium 2018, 4–8 June 2018 in Geiranger, Norway.

• Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups, 15–21 April 2018 at MF Oberwolfach.

• Arithmetic and Analysis - A conference on the occasion of Christopher Deninger’s 60th birthday, 9–13 April 2018 at Math. Institut Münster.

• Guest Seminar Arithmetic Geometry, 16 November 2017, FU Berlin.

• Modern Moduli Theory, 25–29 September 2017, CMI, Oxford University.

• Séminaire de l’Équipe Topologie Algébrique, 14 September 2017, Université Paris XIII.

• Seminar on Algebro-geometric and homotopical methods, 20 April 2017, Institut Mittag-Leffler in Stockholm.

• Algebro-geometric and homotopical methods, Spring 2017, Institut Mittag-Leffler in Stockholm.

• Co-organizer of the conference Topology and Applications, 30 November–2 December 2016, NTNU.

• UiO Topology Seminar, 18 October 2016 at University of Oslo.

• Workshop on Grothendieck-Teichmüller Theories, 24–30 July 2016 at Chern Institute of Mathematics, Tianjin, China.

• Algebraic K-theory and Motivic Cohomology, 26 June–2 July 2016 at MF Oberwolfach.

• Arithmetic L-functions and Differential Geometric Methods (Regulators IV), 23–28 May 2016 at Institut de Mathématiques de Jussieu, Paris.

• 27th Nordic Congress of Mathematicians, Celebrating 100th anniversary of Institut Mittag-Leffler, 16–20 March 2016.

• International Workshop on Motives, 15–19 February 2016, Tokyo University.

• Mathematics Colloquium, 14 December 2015 at Rikkyo University, Tokyo.

• Mathematics Colloquium, 10 December 2015 at KAIST, South Korea.

• Manifolds Unlocking Higher Structures, 28 September–2 October 2015, CMI, Oxford.

• Nordic Topology Meeting, 27–28 August 2015 at Stockholm Topology Centre.

• Nordic Topology Meeting, 27–28 November 2014 at NTNU.

• Representation theory and K-theory: a conference in celebration of the 70th birthday of Eric Friedlander, May 19–22, 2014 at USC Los Angeles.

• Motivic and étale homotopy theory, March 24–28, 2014 at University of Heidelberg.

• Lecture Series on étale homotopy theory, March 18–20, 2014 at University of Heidelberg.

• Topology Seminar, December 2013, University of Wuppertal.

• International Workshop on Motives, November 25–29, 2013 at Tokyo University.

• Algebra Seminar, November 2013, University of Nagoya.

• Séminaire Algèbre et Topologie, November 2013, Université de Strasbourg.

• Séminaire de géométrie algébrique de Jussieu, November 7, 2013 at Institut de Mathématiques de Jussieu, Paris.

• Topology Seminar, July 2013, University of Bonn.

• Homotopical Methods in Algebraic Geometry, May 28–June 1, 2013 at USC Los Angeles.

• Seminar in Algebraic Geometry, January 2013, LMU Munich.

• GK-Colloquium, January 2013, University of Regensburg.

• Workshop on Arithmetic Geometry and Homotopy Theory, May 31-June1, 2012 at Imperial College London.

• Topology Seminar, February 2012, Wayne State University, Detroit.

• Topology Seminar, October 2011, University of Virginia.

• Algebra Seminar, August 2011 at USC Los Angeles.

• Summer School on Rigidity theorems in A¹-homotopy theory, August 2011 at University of Regensburg, Germany.

• MIT Topology Seminar, May 2011.

• Workshop on Arithmetic and Motivic Algebraic Geometry, February 14–18, 2011 at University of Regensburg, Germany.
  

• International Workshop on Motives, December 13–17, 2010 at Tokyo University.

• Development of Galois-Teichmüller Theory and Anabelian Geometry, October 25–30, 2010 at RIMS in Kyoto.

• Galois-theoretic Arithmetic Geometry, October 19–24, 2010 at RIMS in Kyoto.

• GAeL XVIII, June 6–11, 2010 at University of Coimbra, Portugal.

• Algebraic Geometry Seminar, May 2010, University of Essen.

• Mathematics Colloquium, April 2010, Alfred Renyi Institute of Mathematics Budapest.

• Topology Seminar, March 2010, University of London Ontario, Canada.

• The arithmetic of fundamental groups, February 8–12, 2010 in Heidelberg.

• MIT Topology Seminar, October 2009.

• Co-organizer of the Workshop on Motivic Homotopy Theory in July 2009 which was supported by SFB 478 Geometrische Strukturen in der Mathematik. Here are the program and the list of participants.

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