Current Research Projects at the Department of Mathematics
Control of Interacting Particle Systems, and Their Mean-Field, and Fluid-Dynamic Limits
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
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The aim of the proposed project is the development and analysis of the fine structure of the optimal controls across hierarchies of interacting particle systems ranging from microscopic, and mean-field descriptions towards fluid-dynamic models. We plan to develop well-posedness results on the optimal control problems, investigate the links between the microscopic problems and their counterparts with dynamics described by partial differential equations such as mean-field and hydro-dynamics. This…
Modular Hamiltonian and relative entropy in interacting quantum field theories
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
In recent years, the Tomita-Takesaki theory of modular flows of von Neumann algebras has been extensively used both in high energy and condensed matter physics, as a tool for studying energy, entropy and entanglement in quantum field theory (QFT) and semiclassical gravity. The central object in modular theory, the modular or entanglement Hamiltonian associated to a given quantum state and spacetime region, is however only known in a handful of examples. These mainly include theories and regions…
IRN in Representation Theory 2026-2030
Funding source: andere Förderorganisation
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The research networks funds international research activities such as research visits (mobility of researchers), conferences and workshops. It connects mathematicians in France, Germany, Japan and the UK working on various aspects of representation theory.
RE:Math: Explizite Verzahnung von Schul- und Hochschulmathematik in der Studieneingangsphase
Darstellungen und Binomialkoeffizienten
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
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BioSamp: Extension and evaluation of Transomics data sets with artificially generated data using AI and the incorporation of biology
Funding source: Bayerisches Staatsministerium für Wirtschaft, Landesentwicklung und Energie (StMWi) (seit 2018)
Acronym: BioSamp
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DyNano: Dynamik und Steuerung superparamagnetischer Nanopartikel in einfachen und verzweigten Gefäßen: Simulation & Experiment (DyNano)
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Acronym: DyNano
Project leader: , ,
Magnetic Drug Targeting unter Einsatz von superparamagnetischen Eisenoxid-Nanopartikeln (SPIONs) ist eine wirksame Methode, um in der Krebstherapie die Wirkstoffapplikation im Tumorgewebe zu steigern, bei gleichzeitiger Reduktion der Gesamtwirkstoffmenge und der mit der Therapie einhergehenden Nebenwirkungen. Während die Wirksamkeit des Ansatzes bereits in Studien nachgewiesen werden konnte, fehlen allerdings bislang Ansätze, um diese Methode an den jeweiligen Behandlungsfall anzupassen und zu o…
Mathematics of disordered topological matter
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Project leader:
Topological invariants and their index theory, the bulk-boundary correspondence and the more recently introduced spectral localizer are well-established mathematical concepts for disordered topological insulators and are also influential for numerical studies of such materials. This proposal is about extending prior results and techniques to systems with crystalline defects, disordered semimetals and topological metals, as well as non-hermitian topological systems stemming from (leaky and driven…
ModConFlex: Modelling and control of flexible structures interacting with fluids
Funding source: EU - 8. Rahmenprogramm - Horizon 2020
Acronym: ModConFlex
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The ModConFlex consortium comprises a group of 10 academics and 4 senior researchers in industry (ORE Catapult) with expertise in control theory, artificial intelligence, complex dynamical systems, distributed parameter systems, fluid dynamics, aeroelasticity, power electronics, power systems, swimming theory and marine engineering. Our aim is to train the next generation of researchers on the modelling and control of flexible structures interacting with fluids (water and air), contributing to t…
Uncertain data in control of PDE systems
Funding source: Deutscher Akademischer Austauschdienst (DAAD)
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SPP 2089: P25: Multiscale modeling with evolving microstructure: An approach to emergence in the rhizosphere via effective soil functions
Funding source: DFG / Schwerpunktprogramm (SPP)
Acronym: SPP 2089
Project leader: ,
To couple three interwoven areas of rhizosphere research “Processes, Methods and Applications”, we utilize and improve mechanistic, mathematical models in forms of combined cellular automata and PDE/ODE systems on the microscale, offering the opportunity to bridge scales by homogenization techniques. Thesystematic study of the interaction of transformation processes in the rhizosphere focussing on mucilage and root hairs, and its couplings to soil structure, geochemistry, microbiology, and to up…
SFB/TRR 154 B06: Robust optimization of gas networks (B06)
Funding source: Deutsche Forschungsgemeinschaft (DFG)
Acronym: SFB/TRR 154 B06
Project leader: ,
MOCCA: International Doctoral Program: Measuring and Modelling Mountain glaciers and ice caps in a Changing Climate (M³OCCA)
Funding source: Elitenetzwerk Bayern
Acronym: MOCCA
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Mountain glaciers and ice caps outside the large ice sheets of Greenland and Antarctica contribute about 41% to the global sea level rise between 1901 to 2018 (IPCC 2021). While the Arctic ice masses are and will remain the main contributors to sea level rise, glacier ice in other mountain regions can be critical for water supply (e.g. irrigation, energy generation, drinking water, but also river transport during dry periods). Furthermore, retreating glaciers also can cause risks and hazards by…
"Rigorous derivation of linearized models in thermomechanics"
Funding source: Deutscher Akademischer Austauschdienst (DAAD)
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PPP Finnland 2022-2024: DG Methoden und Parameterschätzer für Mikrostrukturmodelle in porösen Medien
Funding source: Deutscher Akademischer Austauschdienst (DAAD)
Acronym: PPP Finnland 2022-2024
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DAAD Projektbezogener Personenaustausch mit Finnland DG Methoden und Parameterschätzer für Mikrostrukturmodelle in porösen Medien
Funding source: Deutscher Akademischer Austauschdienst (DAAD)
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