A list of ongoing projects and recent publications can be found below.
You can find more projects and publications on the webpages of the groups.
Current Projects
- COMSCAL – Comparison and rigidity for scalar curvature ( – )
EU-Project Hosted at University the of Münster: EC Horizon Europe - ERC Starting Grant | Project Number: 101116001 - MaRDI – Mathematical Research Data Initiative - TA2: Scientific Computing ( – )
Subproject in DFG-Joint Project Hosted outside the University of Münster: DFG - National Research Data Infrastructure | Project Number: NFDI 29 /1 - RTG 2553: Symmetries and classifying spaces: analytic, arithmetic and derived (since )
Project Carried out outside the University Münster: DFG - Research Training Group - EXC 2044 - A1: Arithmetic, geometry and representations ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 - C4: Geometry-based modelling, approximation, and reduction ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 - C1: Evolution and asymptotics ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 - B3: Operator algebras & mathematical physics ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 - B2: Topology ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 - B1: Smooth, singular and rigid spaces in geometry ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 – Cluster of Excellence 2044 - Mathematics Münster: Dynamics – Geometry – Structure ( – )
Main DFG-Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 - A2: Groups, model theory and sets ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - EXC 2044 - C3: Interacting particle systems and phase transitions ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC 2044/1 - Dynamical systems and irregular gradient flows ( – )
Own Resources Project - SFB TR326 GAUS – Geometry and Arithmetic of Uniformized Structures ( – )
Project Carried out outside the University Münster - Quantization, Singularities and Holomorphic Dynamics ( – )
Individual Granted Project: DFG - Individual Grants Programme | Project Number: LU 1193/2-1 - GAIA – Joint Research Training Group: „Trustworthy AI for Seamless Problem solving: Next generation Intelligence Joins Robust Data Analysis“ (Data NInJA) - PhD topic: "Gaußprozesse für automatische und interpretierbare Anomalie-Erkennung" ( – )
participations in other joint project: MKW - Förderlinie „Künstliche Intelligenz/Maschinelles Lernen“ - Standortübergreifendes Graduiertenkolleg | Project Number: 005-2010-0003 - InChangE – Individualisierung in sich ändernden Umwelten ( – )
participations in other joint project: MKW - Förderlinie "Profilbildung" | Project Number: PROFILNRW-2020-143-B - AMAREC – Amenability, Approximation and Reconstruction ( – )
EU-Project Hosted at University the of Münster: EC H2020 - ERC Advanced Grant | Project Number: 834267 - DLMATH – Mathematical Theory for Deep Learning ( – )
Own Resources Project - RTG 2149: Strong and Weak Interactions - from Hadrons to Dark Matter ( – )
Main DFG-Project Hosted at the University of Münster: DFG - Research Training Group | Project Number: GRK 2149/2-2020; GRK 2149/2-2022 - INNO4S – Digital Innovation for Sustainable Development ( – )
participations in other joint project: MKW - Landesweite Digitalisierungsoffensive der Hochschulen - Förderlinie: OER-CONTENT.NRW | Project Number: 214-76.01.08-37-4266 - CRC 1442: Geometry: Deformation and Rigidity - B01: Curvature and Symmetry ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, B01 - CRC 1442: Geometry: Deformation and Rigidity - B05: Scalar curvature in Kähler geometry ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1 – 2021 - CRC 1442: Geometry: Deformation and Rigidity - A01: Automorphic forms and the p-adic Langlands programme ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, A01 - CRC 1442: Geometry: Deformation and Rigidity - A02: Moduli spaces of p-adic Galois representations ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, A02 - CRC 1442: Geometry: Deformation and Rigidity - D02: Exotic crossed products and the Baum–Connes conjecture ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, D02 - CRC 1442: Geometry: Deformation and Rigidity - C01: Automorphisms and embeddings of manifolds ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, C01 - CRC 1442: Geometry: Deformation and Rigidity - A04: New cohomology theories for arithmetic schemes ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, A04 - CRC 1442: Geometry: Deformation and Rigidity - C02: Homological algebra for stable ∞-categories ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, C02 - CRC 1442: Geometry: Deformation and Rigidity - D01: Amenable dynamics via C*-algebras ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, D01 - CRC 1442: Geometry: Deformation and Rigidity - C03: K-theory of group algebras ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, C03 - CRC 1442: Geometry: Deformation and Rigidity - Z01: Central Task of the Collaborative Research Centre ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, Z01 - CRC 1442: Geometry: Deformation and Rigidity ( – )
Main DFG-Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1 - CRC 1442: Geometry: Deformation and Rigidity - Geometric evolution equations ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, B02 - CRC 1442: Geometry: Deformation and Rigidity - B03: Moduli spaces of metrics of positive curvature ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, B03 - CRC 1442: Geometry: Deformation and Rigidity - A03: Special cycles on moduli spaces of G-shtukas ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, A03 - CRC 1442: Geometry: Deformation and Rigidity - D03: Integrability ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, D03 - NewtonStrat – Newton strata - geometry and representations ( – )
EU-Project Hosted at University the of Münster: EC H2020 - ERC Consolidator Grant | Project Number: 770936 - CRC 1442: Geometry: Deformation and Rigidity - C05: Rigidity of group topologies and universal minimal flows ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre | Project Number: SFB 1442/1, C05 - Non-perturbative Group field theory from combinatorial Dyson-Schwinger equations and their algebraic structure II ( – )
Individual Granted Project: DFG - Individual Grants Programme | Project Number: TH 2402/1-2 - Long extenders, Varsovian models, combinatorics ( – )
Individual Granted Project: DFG - Individual Grants Programme | Project Number: SCHL 2239/1-1 - BHSandAADS – The Black Hole Stability Problem and the Analysis of asymptotically anti-de Sitter spacetimes ( – )
EU-Project Hosted at University the of Münster: EC H2020 - ERC Consolidator Grant | Project Number: 772249 - MoVie – Modellierungskompetenz mit Videos erwerben (since )
Own Resources Project - ViMo – Visualisierungen bei der Bearbeitung von mathematischen Modellierungsaufgaben (since )
Own Resources Project - DOT – DOT - Diagnostische Online Tests (since )
Own Resources Project - IGS – Informatik in der Grundschule (since )
Own Resources Project - MaStEr – Mathematik studieren mit Erfolg (since )
Own Resources Project - String Geometry Network (since )
Own Resources Project
- COMSCAL – Comparison and rigidity for scalar curvature ( – )
Latest Publications
- . . ‘Median quasimorphisms on CAT(0) cube complexes and their cup products.’ Geometriae Dedicata 218: 28. doi: 10.1007/s10711-023-00870-3.
- . . ‘Recognizing Patterns in Productive Failure.’ In Proceedings of the 55th ACM Technical Symposium on Computer Science Education V. 1, edited by , 1293–1299. New York, NY: ACM Press. doi: 10.1145/3626252.3630915.
- . . ‘Estimating stable fixed points and Langevin potentials for financial dynamics.’ Physical Review E 109 , No. 2. doi: 10.1103/PhysRevE.109.024226.
- . . ‘Real symmetric Φ^4-matrix model as Calogero-Moser model.’ Letters in Mathematical Physics 114: 25. doi: 10.1007/s11005-024-01772-5.
- . . ‘Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman's problem.’ Annales Scientifiques de l'École Normale Supérieure 57, No. 1: 87–141. doi: 10.24033/asens.2571.
- . ‘Entwicklung professioneller Kompetenzen von Studierenden durch den Besuch von Lehr-Lern-Labor Seminaren zum Einsatz digitaler Medien. Ergebnisse einer Evaluationsstudie zur Veränderung von Selbstwirksamkeitserwartungen.’ In Lehr-Lern-Labore, Lernwerkstätten und Learning-Center. Ergebnisse zur Qualitätsoffensive Lehrerbildung., edited by , 185–204. Münster: Waxmann.
- (Hrsg.): . Digitale Medien in Lehr-Lern-Laboren: Innovative Lehrformate in der Lehrkräftebildung zum Umgang mit Diversität und Inklusion. Münster: Waxmann. doi: 10.31244/9783830998365.
- . „Diversitätssensibel unterrichten mit digitalen Medien: Ein Kompetenzmodell zur Planung und Reflexion von Lehr-Lern-Laboren.“ In Digitale Medien in Lehr-Lern-Laboren: Innovative Lehrformate in der Lehrkräftebildung zum Umgang mit Diversität und Inklusion, herausgegeben von , 39–62. Münster: Waxmann. doi: 10.31244/9783830998365.
- . ‘Univariate autoregressive structural equation models as mixed-effects models.’ Structural Equation Modeling: A Multidisciplinary Journal 31, No. 2: 357–366. doi: 10.1080/10705511.2023.2212865.
- . ‘Psychological well-being in Europe after the outbreak of war in Ukraine.’ Nature Communications 15: 1202. doi: 10.1038/s41467-024-44693-6.
- . „Mathematisches Modellieren mit digitalen Werkzeugen im Lehr-Lern-Labor-Seminar: Empirische Ergebnisse zur Förderung kognitiver Aspekte der bereichsspezifischen professionellen Diagnosekompetenz.“ In Digitale Medien in Lehr-Lern-Laboren: Innovative Lehrformate in der Lehrkräftebildung zum Umgang mit Diversität und Inklusion, herausgegeben von , 111–129. Münster: Waxmann. doi: 10.31244/9783830998365.
- . . ‘Convergent Autoencoder Approximation of Low Bending and Low Distortion Manifold Embeddings.’ ESAIM: Mathematical Modelling and Numerical Analysis 58, No. 1: 335–361. doi: 10.1051/m2an/2023088.
- . . ‘Tracially amenable actions and purely infinite crossed products.’ Mathematische Annalen 2024. doi: https://doi.org/10.1007/s00208-024-02833-9.
- . . ‘Working with an instructional video on mathematical modeling: upper-secondary students’ perceived advantages and challenges.’ ZDM - Mathematics Education 56, No. 4. doi: https://doi.org/10.1007/s11858-024-01546-2.
- . . ‘Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space.’ Applied and Computational Harmonic Analysis 70: 101631. doi: 10.1016/j.acha.2024.101631.
- . . ‘Dynamic interplay of microtubule and actomyosin forces drive tissue extension.’ Nature Communications 15, No. 1: 3198. doi: 10.1038/s41467-024-47596-8.
- . . ‘QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization.’ Journal of Mathematical Physics 65: 032302. doi: 10.1063/5.0158724.
- . . ‘Cohomogeneity one manifolds with quasipositive curvature.’ Mathematische Annalen 2023. doi: 10.1007/s00208-023-02766-9.
- . . ‘Shadows of characteristic cycles, Verma modules, and positivity of Chern–Schwartz–MacPherson classes of Schubert cells.’ Duke Mathematical Journal 172, No. 17: 3257 –3320. doi: 10.1215/00127094-2022-0101.
- . . ‘Efficient Multi-Change Point Analysis to Decode Economic Crisis Information from the S&P500 Mean Market Correlation.’ Entropy 25, No. 9: 1265. doi: 10.3390/e25091265.
- . . ‘Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra.’ Journal of Mathematical Physics 64, No. 7: 073505. doi: 10.1063/5.0150975.
- . . ‘Evaluation of Proenkephalin A 119-159 for liberation from renal replacement therapy: an external, multicenter pilot study in critically ill patients with acute kidney injury.’ Critical Care 27, No. 1: 276. doi: 10.1186/s13054-023-04556-w.
- . . ‘One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams.’ Calculus of Variations and Partial Differential Equations 62, No. 7: 190. doi: 10.1007/s00526-023-02525-3.
- . ‘A pro-algebraic fundamental group for topological spaces.’ Proceedings of the Steklov Institute of Mathematics 320: 62–90. doi: 10.1134/S0081543823010054.
- . . ‘The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes.’ Archive for Rational Mechanics and Analysis 247: 56. doi: 10.1007/s00205-023-01890-9.
- . . ‘Stick-slip dynamics in the forced wetting of polymer brushes.’ Soft Matter 19, No. 22: 4041–4061. doi: 10.1039/D3SM00104K.
- . . ‘Implementation of Nephroprotective Measures to Prevent Acute Kidney Injury in Septic Patients: A Retrospective Cohort Study.’ Anesthesia and Analgesia Online ahead of . doi: 10.1213/ANE.0000000000006495.
- . . ‘Identifying dominant industrial sectors in market states of the S&P 500 financial data.’ Journal of Statistical Mechanics: Theory and Experiment 2023: 043402. doi: 10.1088/1742-5468/accce0.
- . . ‘Mean-Field Phase Transitions in TGFT Quantum Gravity.’ Physical Review Letters 130: 141501. doi: 10.1103/PhysRevLett.130.141501.
- . ‘Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation.’ Electronic Research Archive 31, No. 5: 2519–2554. doi: 10.3934/era.2023128.
- . . ‘A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT.’ Communications in Mathematical Physics 399: 481–517. doi: 10.1007/s00220-022-04557-w.
- . . ‘An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition.’ SIAM Journal on Scientific Computing 45, No. 4. doi: 10.1137/21M1460016.
- . . ‘A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells.’ European Journal of Applied Mathematics 34, No. 3: 554–591. doi: 10.1017/S0956792522000353.
- . . ‘Frequency modulation stimulated Raman scattering scheme for real-time background correction with a single light source.’ Biomedical Optics Express 14, No. 1: 315–325. doi: 10.1364/BOE.476513.
- . . ‘Simplified FM SRS for up to 8.3-fold contrast improvement.’ In Proceedings on the Focus on Microscopy 2023, edited by , 37. Porto: Focus on Microscopy.
- . . ‘Single-source FM SRS with pixel-to-pixel contrast improvement.’ In 2023 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC), edited by , 1. München: Wiley-IEEE Press. doi: 10.1109/CLEO/Europe-EQEC57999.2023.10232588.
- . . ‘Single low-noise fiber-based light source for FM SRS.’ In Proceedings of RamanFest 2023, edited by , 70. Paris: Phantoms Foundation.
- . ‘Single low-noise fiber-based light source for FM SRS.’ contributed to the RamanFest 2023, Paris, .
- . . ‘Exploring Barriers in Productive Failure.’ In Proceedings of the 19th ACM Conference on International Computing Education Research (ICER 2023), Vol. I, edited by , 284–297. New York, NY: ACM Press. doi: 10.1145/3568813.3600111.
- . . ‘Anticipating the occurrence and type of critical transitions.’ Science advances 9, No. 1. doi: 10.1126/sciadv.abq4558.
- . ‘Differing levels of gratitude between romantic partners: Concurrent and longitudinal links with satisfaction and commitment in six dyadic datasets.’ Personality Science 4: 1–22. doi: 10.5964/ps.10537.
- . ‘Extraversion, social interactions, and well-being during the COVID-19 pandemic: Did extraverts really suffer more than introverts?’ Journal of Personality and Social Psychology 125, No. 3: 649–679. doi: 10.31234/osf.io/jb8cg.
- . . ‘A note on virtual duality and automorphism groups of right-angled Artin groups.’ Glasgow Mathematical Journal 65, No. 3: 573 –581. doi: 10.1017/s0017089523000149.
- . . ‘Stratifying the space of barcodes using Coxeter complexes.’ Journal of Applied and Computational Topology 7: 369–395. doi: 10.1007/s41468-022-00104-7.
- . „Vorkurs in Zeiten von Corona: Zur Entwicklung affektiver Merkmale in Präsenz und Distanz.“ In Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12. November 2021 aus Bochum, herausgegeben von , 107–122. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959872645.0.
- . ‘Proof construction and in-process validation – Validation activities of undergraduates in constructing mathematical proofs.’ Journal of Mathematical Behavior 70: 101064. doi: 10.1016/j.jmathb.2023.101064.
- . ‘On-Campus vs Distance Tutorials in Preparatory Courses for Mathematics Student Teachers. Performance Gains and Influencing Factors.’ International Journal of Research in Undergraduate Mathematics Education online first. doi: 10.1007/s40753-023-00221-3.
- . . „Vorkurs in Zeiten von Corona – Zur Leistungsentwicklung in Distanz und Präsenz.“ In Beiträge zum Mathematikunterricht 2022, herausgegeben von , 921–924. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23667.
- . ‘Strategies for proof construction (self-reports vs performance) - Is prior knowledge important?’ In Proceedings of the 46th conference of the International Group for the Psychology of Mathematics Education, edited by , 155–162. Haifa, Israel: PME.
- . . ‘Pressure Dependence of Intra- and Interlayer Excitons in 2H-MoS2 Bilayers.’ Nano Letters 23, No. 19. doi: 10.1021/acs.nanolett.3c02428.