Research Projects
Current Research Projects at the Department of Mathematics
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…
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
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Funding source: Bayerisches Staatsministerium für Wirtschaft, Landesentwicklung und Energie (StMWi) (seit 2018)
Acronym: BioSamp
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Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Acronym: DyNano
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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…
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
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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…
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…
Funding source: Deutscher Akademischer Austauschdienst (DAAD)
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Funding source: DFG / Schwerpunktprogramm (SPP)
Acronym: SPP 2089
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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…
Funding source: Deutsche Forschungsgemeinschaft (DFG)
Acronym: SFB/TRR 154 B06
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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…
Funding source: Deutscher Akademischer Austauschdienst (DAAD)
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Funding source: Deutscher Akademischer Austauschdienst (DAAD)
Acronym: PPP Finnland 2022-2024
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Funding source: Deutscher Akademischer Austauschdienst (DAAD)
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