Cluster of Excellence 2044 - Mathematics Münster: Dynamics – Geometry – Structure (EXC 2044)
Basic data for this project
Type of project: Main DFG-project hosted at University of Münster
Duration at the University of Münster: 01/01/2019 - 31/12/2025 | 1st Funding period
Description
Mathematics is a key technology for scientific and economic progress. New discoveries in mathematics are not only interesting in themselves, but they often lead to unexpected breakthroughs in other sciences as well. We will tackle fundamentally important mathematical problems, viewing mathematics as an organic whole with countless interactions. Our research is unified by three major approaches: focusing on the underlying structure of a given problem, taking the geometric viewpoint and studying the relevant dynamics of group or semigroup actions. The theories which we will build will not only solve the problems under consideration but also many others of a similar nature; these theories will also raise exciting new questions.
Keywords: mathematics; arithmetic; groups; spaces; operators; models; approximations
Website of the project: https://www.uni-muenster.de/MathematicsMuenster/
DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/390685587
Funding identifier: EXC 2044/1 | DFG project number: 390685587
Funder / funding scheme:
- DFG - Cluster of Excellence (EXC)
Project management at the University of Münster
| Nikolaus, Thomas | |
| Ohlberger, Mario |
Speakers from the University of Münster
| Nikolaus, Thomas | |
| Ohlberger, Mario |
Applicants from the University of Münster
| Deninger, Christopher | |
| Ohlberger, Mario |
Project partners outside the University of Münster
- Fraunhofer High Performance Center Simulation and Software Based InnovationGermany
Projects of the following funding period
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 |
Related sub-projects at the University of Münster
Duration: 01/01/2019 - 31/12/2025 | 1st Funding period Funded by: DFG - Cluster of Excellence Type of project: Subproject in DFG-joint project hosted at University of Münster | |
Duration: 01/01/2019 - 31/12/2025 | 1st Funding period Funded by: DFG - Cluster of Excellence Type of project: Subproject in DFG-joint project hosted at University of Münster | |
Duration: 01/01/2019 - 31/12/2025 | 1st Funding period Funded by: DFG - Cluster of Excellence Type of project: Subproject in DFG-joint project hosted at University of Münster | |
Duration: 01/01/2019 - 31/12/2025 | 1st Funding period Funded by: DFG - Cluster of Excellence Type of project: Subproject in DFG-joint project hosted at University of Münster | |
Duration: 01/01/2019 - 31/12/2025 | 1st Funding period Funded by: DFG - Cluster of Excellence Type of project: Subproject in DFG-joint project hosted at University of Münster |
Publications of the University of Münster resulting from the project
Bastian P, Blatt M, Dedner A, Dreier N, Engwer C, Fritze R, Gräser C, Kempf D, Klöfkorn R, Ohlberger M, Sander O (2021) In: Computers & Mathematics with Applications, 81, 75-112. doi:10.1016/j.camwa.2020.06.007 Research article (journal) | Peer reviewed | Published | |
Buhr Andreas, Iapichino Laura, Ohlberger Mario, Rave Stephan, Schindler Felix, Smetana Kathrin (2021) In: Benner P, Grivet-Talocia S, Quarteroni A, Rozza G, Schilders W, Sileira L (eds.), Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, 245-306. (kein Verlag angegeben). doi:10.1515/9783110671490-006 Research article (book contribution) | Peer reviewed | Published | |
Leibner T, Ohlberger M (2021) In: ESAIM: Mathematical Modelling and Numerical Analysis, 55. doi:10.1051/m2an/2021065 Research article (journal) | Peer reviewed | Published | |
Keil T, Mechelli L, Ohlberger M, Schindler F, Volkwein S (2021) In: ESAIM: Mathematical Modelling and Numerical Analysis, 55. doi:10.1051/m2an/2021019 Research article (journal) | Peer reviewed | Published | |
Gavrilenko Pavel, Haasdonk Bernard, Iliev Oleg, Ohlberger Mario, Schindler Felix, Toktaliev Pavel, Wenzel Tizian, Youssef Maha (2022) In: Lirkov Ivan, Margenov Svetozar (eds.), Large-Scale Scientific Computing, 378-386. Cham: Springer VDI Verlag. doi:10.1007/978-3-030-97549-4_43 Research article (book contribution) | Peer reviewed | Published |
Doctorates resulting from the project
| Model reduction for kinetic equations: moment approximations and hierarchical approximate proper orthogonal decomposition Candidate: Leibner, Tobias | Supervisors: Ohlberger, Mario Period of time: until 13/04/2021 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster | |
| Randomized Multiscale Methods for Parabolic Problems Candidate: Schleuß, Julia | Supervisors: Ohlberger, Mario; Smetana, Kathrin | Reviewers: Ohlberger, Mario; Smetana, Kathrin; Scheichl, Robert Period of time: 01/04/2019 - 27/04/2023 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster | |
| Numerical methods for Friedrichs’ systems: Approximation theory, localized training and inherently stable model order reduction Candidate: Renelt, Lukas | Supervisors: Ohlberger, Mario; Engwer, Christian | Reviewers: Ohlberger, Mario; Engwer, Christian; Vohralík; Martin Period of time: 01/02/2021 - 10/01/2025 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster | |
| Parametrized optimal control and transport-dominated problems: Reduced basis methods, nonlinear reduction strategies and data driven surrogates Candidate: Kleikamp, Hendrik | Supervisors: Ohlberger, Mario | Reviewers: Ohlberger, Mario; Breiten, Tobias Period of time: 01/01/2021 - 19/12/2024 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster |
Talks about the project
| Beautiful pairs of unstable theories and spaces of definable types Hils, Martin (26/07/2021) Workshop on Trends in Pure and Applied Model Theory, The Fields Institute, Toronto, Kanada Type of talk: scientific Talk | |
| Beautiful pairs of valued fields and spaces of definable types Hils, Martin (26/05/2021) Logic Seminar, The Hebrew University of Jerusalem, Jerusalem, Israel Type of talk: scientific Talk | |
| Beautiful pairs of valued fields and spaces of definable types Hils, Martin (08/04/2021) Seminario di logica, Università degli studi della Campania Luigi Vanvitelli, Caserta, Italien Type of talk: scientific Talk | |
| Classification of imaginaries in valued fields with automorphism. Hils, Martin (25/02/2020) Logic Seminar, The Hebrew University of Jerusalem, Jerusalem, Israel Type of talk: scientific Talk | |
| Classification of Imaginaries in VFA Hils, Martin (31/01/2020) Seminaire Géométrie et Théorie des Modèles, Ecole Normale Supérieure Paris, Paris, Frankreich Type of talk: scientific Talk |