Professorship for theoretical mathematics (Prof. Nikolaus)

Status: Organisation is active

Website: https://www.uni-muenster.de/MathematischesInstitut/

Address:

Einsteinstr. 62

48149 Münster

Germany

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
EXC 2044 - T04: Groups and actions 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
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)

Preisverleihungen

von Kaven Award 2024 in the category: Mathematics
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

Promotionen

[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

Vorträge

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

Parent organisational units

University of Münster
- Schools and Faculties
  - FB10 - Faculty of Mathematics and Computer Science
    - Mathematical Institute

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

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
EXC 2044 - T04: Groups and actions 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
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

[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