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Professor Dr. Thomas Nikolaus

Current affiliations

Curriculum Vitae (CV)

Research Focus

  • Topology
    Ich interessiere mich für Topology vom Standpunkt der Homotopietheorie aus, also das Studium von geometrischen Objekten bis auf stetige Deformation.Die Homotopietheorie ist eng verwandt mit der Höheren Kategorientheorie (insbesondere unendlich-Kategorien). Eines der Hauptgebiete, in denen ich in den letzten Jahren gearbeitet habe, ist die höhere Algebra, also das Studium von Ringspektren und Spektren mittels algebraischer und arithmetischer Techniken.
  • Homotopy Theory
  • Arithmetic
  • Higher Categories

Academic Education

07/2009 - 07/2011PhD in Mathematics at the University of Hamburg, supervisor Prof. Dr. Christoph Schweigert Title of thesis: Higher Categorical Structures in Geometry - General Theory and Applications to Quantum Field Theory
10/2003 - 06/2009Study of mathematics ( secondary subjects: computer science and physics) at the University of Hamburg

Work Experience

since 03/2018Professor at the University of Münster
10/2015 - 02/2018Head of junior research group at the May-Planck-Institute in Bonn
10/2014 - 09/2015Deputy professorship at the University of Bonn
10/2011 - 09/2014Assistant professor at the University of Regensburg

Publications

Trace methods for stable categories I: The linear approximation of algebraic K-theory
Harpaz Y; Nikolaus T; Saunier V (2024)
In: arxiv.org:https://arxiv.org/abs/2411.04743.
Research article in digital collection | Preprint | Peer reviewed | submitted / under review
An Alternative to Spherical Witt Vectors
Nikolaus T; Yakerson M (2024)
In: arxiv.org:https://arxiv.org/abs/2405.09606.
Research article in digital collection | Preprint | Peer reviewed | submitted / under review
Maps between spherical group rings
Carmeli S; Nikolaus T; Yuan A (2024)
In: arxiv.org
Research article in digital collection | Preprint | Peer reviewed | submitted / under review
On the K-theory of Z/pn
Antieau B; Krause A; Nikolaus T (2024)
In: arxiv.org:2405.04329.
Research article in digital collection | Preprint | submitted / under review
Polygonic spectra and TR with coefficients
Krause, Achim; McCandless, Jonas; Nikolaus, Thomas (2023)
In: arXiv:2302.07686.
Research article in digital collection | Preprint | Published
Show all publications (51)

Projects

Cluster of Excellence 2044 - Mathematics Münster: Dynamics – Geometry – Structure (EXC 2044)
Duration: 01/01/2026 - 31/12/2032 | 2nd Funding period
Funded by: DFG - Cluster of Excellence
Type of project: Main DFG-project hosted at University of Münster
EXC 2044 - T01: K-Groups and cohomology
Duration: 01/01/2026 - 31/12/2032 | 1st Funding period
Funded by: DFG - Cluster of Excellence
Type of project: Subproject in DFG-joint project hosted at University of Münster
Young Topologists Meeting 2024 in Münster
Duration: 05/08/2024 - 09/08/2024
Funded by: K-Theory-Foundation, Foundation Compositio Mathematica
Type of project: Scientific Event
CRC 1442 - A04: New cohomology theories for arithmetic schemes
Duration: 01/07/2024 - 30/06/2028 | 2nd Funding period
Funded by: DFG - Collaborative Research Centre
Type of project: Subproject in DFG-joint project hosted at University of Münster
CRC 1442 - C02: Homological algebra for stable ∞-categories
Duration: 01/07/2024 - 30/06/2028 | 2nd Funding period
Funded by: DFG - Collaborative Research Centre
Type of project: Subproject in DFG-joint project hosted at University of Münster
Show all projects (9)

Talks

Frobenius homomorphisms in higher algebra
Nikolaus, Thomas (11/07/2022)
International Congress of Mathematics 2022, Virtual event
Type of talk: scientific Talk

Prizes

von Kaven Award  2024
Awarded by: von Kaven Foundation of the DFG
Award given to: Nikolaus, Thomas
Announced at: 06/12/2024 | Date of awarding: 06/12/2024
Type of distinction: Research award or other distinction

Doctorates

[Working title] Equivariant Homotopy Theory and applications to Localizing Invariants
Candidate: Pützstück, Phil Linus | Supervisors: Nikolaus, Thomas | Reviewers: Nikolaus, Thomas
Period of time: 01/05/2024 - today
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
[Working title] Derived and spherical $\delta$-rings
Candidate: Hübner, Edith | Supervisors: Nikolaus, Thomas | Reviewers: Nikolaus, Thomas
Period of time: 01/10/2022 - today
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
Genuine Cohomology Theories
Candidate: Janssen, Marin | Supervisors: Nikolaus, Thomas | Reviewers: Nikolaus, Thomas
Period of time: 01/10/2023 - 10/05/2024
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
TR and its relation to algebraic K-theory
Candidate: McCandless, Jonas | Supervisors: Nikolaus, Thomas | Reviewers: Nikolaus, Thomas
Period of time: 01/09/2019 - 31/08/2022
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster
Coherent cochain complexes and Beilinson t-structures
Candidate: Ariotta, Stefano | Supervisors: Nikolaus, Thomas | Reviewers: Nikolaus, Thomas
Period of time: 01/03/2018 - 31/03/2022
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster