Universität Potsdam
Institut für Mathematik
Address
Karl-Liebknecht-Straße 24-25
14476 Potsdam
Deutschland
GERiT
This institution in GERiT
14476 Potsdam
Projects
Research Grants
Current projects
Advancing correlation-based Bayesian modeling of the geomagnetic field to include paleomagnetic sediment records
(Applicants
Holschneider, Matthias
;
Korte, Monika
)
C*-algebras of symmetries and their invariants
(Applicant
Raum, Sven
)
Decoding entanglement in soft materials
(Applicant
Evans, Myfanwy E.
)
Feynman Green's Operators for Dirac Operators with Non-local Boundary Conditions
(Applicant
Islam, Ph.D., Onirban
)
Heat Kernel Behavior at Infinity on Graphs
(Applicant
Rose, Christian
)
Periodic approximations of Schrödinger operators associated with quasicrystals
(Applicant
Beckus, Siegfried
)
Renormalisation under the prism of meromorphic functions in several variables
(Applicant
Paycha, Ph.D., Sylvie
)
Ricci Flow on Discrete Structures
(Applicants
Keller, Matthias
;
Münch, Florentin
)
The formation of the Prolamellar body: where biology meets geometry
(Applicant
Evans, Myfanwy E.
)
Completed projects
Analysis of geomagnetic data using wavelet frames
(Applicant
Holschneider, Matthias
)
An Interpolation Problem
(Applicant
Tarkhanov, Nikolai N.
)
Asymptotic analysis and boundary value problems
(Applicant
Schulze, Bert-Wolfgang
)
Boundaries, Green's formulae and harmonic functions for graphs and Dirichlet spaces - follow up
(Applicants
Keller, Matthias
;
Lenz, Daniel
)
Geometry of discrete spaces and spectral theory of non-local operators
(Applicant
Lenz, Daniel
)
Geometry of Willmore surfaces in Riemannian manifolds and applications to General Relativity
(Applicant
Metzger, Jan
)
Hardy inequalities on graphs and Dirichlet spaces.
(Applicants
Keller, Matthias
;
Pogorzelski, Felix
)
High-latitude coupling processes between thermospheric circulation and solar wind driven magnetospheric currents and plasma convection
(Applicants
Förster, Matthias
;
Holschneider, Matthias
)
MagmaPropagator: A forecasting tool for location and time of volcanic eruptions due to off-conduit magma propagation.
(Applicants
Rivalta, Ph.D., Eleonora
;
Zöller, Gert
)
Nichtlineare Differentialgleichungen mit kleinem Parameter
(Applicant
Tarkhanov, Nikolai N.
)
Operator-Algebren auf Mannigfaltigkeiten mit Singularitäten
(Applicant
Schulze, Bert-Wolfgang
)
Probing the Earth's subdecadal core-mantle dynamics based on satellite geomagnetic field models
(Applicant
Asari, Seiki
)
Structure preserving numerics for atmospheric dynamics: A physics based approach
(Applicants
Névir, Peter
;
Reich, Sebastian
)
The Euler-Maclaurin formula and Birkhoff-Hopf factorisation: discretisation and quantisation Extension: Enhanced discrete sums; conical and branched zeta values
(Applicant
Paycha, Ph.D., Sylvie
)
Untersuchung der mathematischen Formulierung des Äquivalenzprinzips durch fluktuierte Diracoperatoren im Rahmen der nichtkommutativen Geometrie
(Applicant
Stephan, Christoph Alexander
)
Virtual Lower Rhine Embayement: Physics-based numerical simulation of earthquake ruptures and seismic cycles
(Applicant
Hainzl, Sebastian
)
Willmore surfaces in Riemannian manifolds
(Applicants
Lamm, Tobias
;
Metzger, Jan
)
Priority Programmes
Current projects
Geometrically defined asymptotic coordinates in General Relativity
(Applicants
Cederbaum, Carla
;
Metzger, Jan
)
Laplacians, metrics and boundaries of simplicial complexes and Dirichlet spaces
(Applicants
Keller, Matthias
;
Lenz, Daniel
;
Schmidt, Marcel
)
Completed projects
Analysis of the interaction of planetary plasma and dust with the magnetic field
(Applicants
Motschmann, Ph.D., Uwe
;
Schmidt, Ph.D., Jürgen
)
Boundaries, Greens formulae and harmonic functions for graphs and Dirichlet spaces
(Applicants
Keller, Matthias
;
Lenz, Daniel
)
Boundary value problems and index theory on Riemannian and Lorentzian manifolds
(Applicant
Bär, Christian
)
Building time dependent magnetic field models satisfying the frozen-flux radial induction equation
(Applicants
Holschneider, Matthias
;
Lesur, Ph.D., Vincent
)
Co-estimation of the Earth main magnetic field and the ionospheric variation field
(Applicants
Holschneider, Matthias
;
Stolle, Claudia
)
Combined Hydrological Modelling and Regional Geodetic Estimation of Water Storage Variations in Large River Basins Using GRACE Data
(Applicants
Döll, Petra
;
Holschneider, Matthias
;
Kusche, Jürgen
)
Coordination
(Applicant
Lohkamp, Joachim
)
Coordination and organisation of the SPP 1488
(Applicant
Holschneider, Matthias
)
Correlation based modelling of the Earth magnetic field
(Applicant
Holschneider, Matthias
)
Dynamo action in planetesimals
(Applicant
Tilgner, Andreas
)
Entwicklung eines Lagrangeschen Kerns für Klimamodelle
(Applicants
Grewe, Volker
;
Reich, Sebastian
;
Yserentant, Harry
)
Global analysis and geometry of Lorentzian manifolds
(Applicant
Bär, Christian
)
Index theory on Lorentzian manifolds
(Applicant
Bär, Christian
)
Investigating the Influence of the Magnetostrophic Magnetorotational Instability on the Dynamo Action in Planetary Interiors and their Exterior Field
(Applicant
Klahr, H. Hubertus
)
Noncommutative Geometry and Geometric Structures
(Applicant
Bär, Christian
)
Probing the Earth´s subdecadal core-mantle dynamics based on satellite geomagnetic field models
(Applicant
Asari, Seiki
)
Signal Dynamik im Waveletphasenraum: die Wavelet Deformationsalgebra und ihre Anwendung bei der Analyse seismischer Signale
(Applicant
Holschneider, Matthias
)
Space-Time Adjustable Regularizations for the Atmospheric Circulation model ICON, Code name: STAR (Space-Time Adjustible Regularizations)
(Applicants
Giorgetta, Marco A.
;
Reich, Sebastian
)
Space-time models of planetary magnetic fields for characterisation of regional lithospheric features and impact craters
(Applicant
Holschneider, Matthias
)
SPP 1488: Planetary Magnetism (PlanetMag)
(Spokesperson
Holschneider, Matthias
)
Stochastic and physical modeling of the Earth's magnetic field
(Applicants
Baerenzung, Julien
;
Holschneider, Matthias
)
Tailored regional gravity field models for mass distribution and mass transport phenomena in the Earth system.
(Applicants
Holschneider, Matthias
;
Ilk, Karl-Heinz
)
Emmy Noether Independent Junior Research Groups
Current projects
Geometry and topology of entangled soft matter
(Applicant
Evans, Myfanwy E.
)
Collaborative Research Centres
Current projects
Approximate Bayesian inference and model selection for stochastic differential equations (SDEs)
(Project Heads
Opper, Manfred
;
Reich, Sebastian
;
Spokoiny, Vladimir
)
Central tasks of the CRC
(Project Head
Reich, Sebastian
)
Continuous learning by integrating reinforcement learning and data assimilation to individualise drug treatments
(Project Heads
Huisinga, Wilhelm
;
Opper, Manfred
;
De Wiljes, Jana
)
Inferring the dynamics underlying protrusion-driven cell motility
(Project Heads
Beta, Carsten
;
Holschneider, Matthias
;
Huisinga, Wilhelm
)
Integrated Research Training Group
(Project Heads
Freitag, Melina
;
Huisinga, Wilhelm
;
Roelly, Sylvie
)
Long-time stability and accuracy of ensemble transform filter algorithms
(Project Heads
Reich, Sebastian
;
Stannat, Wilhelm
;
De Wiljes, Jana
)
Model order reduction for Bayesian inference
(Project Heads
Freitag, Melina
;
Lie, Han Cheng
)
Multiscale data and asymptotic model assimilation for atmospheric flows
(Project Heads
Klein, Rupert
;
Reich, Sebastian
;
Schillings, Claudia
)
Neural network modelling of brain responses during language comprehension
(Project Heads
Rabovsky, Milena
;
Reich, Sebastian
)
Nonlinear statistical inverse problems with random observations
(Project Heads
Blanchard, Gilles
;
Huisinga, Wilhelm
;
Lie, Han Cheng
;
Reiß, Markus
)
Parameter inference and model comparison in dynamical cognitive models
(Project Heads
Engbert, Ralf
;
Reich, Sebastian
)
Parametric and nonparametric modelling of spatiotemporal change patterns in seismicity using Hawkes processes
(Project Heads
Holschneider, Matthias
;
Reich, Sebastian
;
Zöller, Gert
)
SFB 1294: Data Assimilation – The Seamless Integration of Data and Models
(Spokespersons
Freitag, Melina
;
Reich, Sebastian
)
Statistics of stochastic partial differential equations (SPDEs)
(Project Heads
Beta, Carsten
;
Reiß, Markus
;
Roelly, Sylvie
;
Stannat, Wilhelm
)
Completed projects
Analysis, singuläre Strukturen
(Project Head
Schulze, Bert-Wolfgang
)
Analytic and Spectral Properties of Geometric Operators
(Project Heads
Bär, Christian
;
Schüth, Dorothee
)
Combining nonparametric statistical and probabilistic approaches for inference on cloud-of-points data
(Project Heads
Blanchard, Gilles
;
Roelly, Sylvie
)
Differential Operators of Mathematical Physics: Spectral Theory and Dynamics
(Project Heads
Brüning, Jochen
;
Bär, Christian
;
Rendall, Alan
)
Geometric Variational Problems: Direct Methods, Associated Flows and the Influence of Ambient Geometry and Physics
(Project Heads
Bär, Christian
;
Ecker, Klaus
;
Huisken, Gerhard
;
Metzger, Jan
;
Schulze, Felix
)
Geometry and Physics of Spacelike Hypersurfaces in Lorentzian Manifolds
(Project Heads
Bär, Christian
;
Ecker, Klaus
;
Huisken, Gerhard
)
Inklusionen von Algebren und Quantenfeldtheorie
(Project Head
Baumgärtel, Hellmut
)
Nichtlineare Modelle und Verfahren
(Project Head
Läuter, Henning
)
Uncertainties in Earthquake-Modeling and Probabilistic Seismic Riskanalysis
(Project Heads
Holschneider, Matthias
;
Kurths, Jürgen
;
Reich, Sebastian
)
Research Units
Completed projects
Control of fixational eye movements and posture
(Applicant
Engbert, Ralf
)
FOR 2402: Rough Paths, Stochastic Partial Differential Equations and Related Topics
(Spokesperson
Friz, Peter Karl
)
Foundations of regularity structures
(Applicants
Friz, Peter Karl
;
Paycha, Ph.D., Sylvie
;
Perkowski, Nicolas
)
Research Fellowships
Completed projects
A Riemannian analogue of the Einstein constraint equations
(Applicant
Hermann, Andreas
)
Infrastructure Priority Programmes
Completed projects
Structural and kinematic models of the Aegean based on HALO gravity and magnetic data
(Applicants
Geiger, Alain
;
Lesur, Ph.D., Vincent
)
CRC/Transregios
Current projects
Signatures at the threshold of analysis, algebra and geometry: new perspectives
(Project Heads
Friz, Peter Karl
;
Paycha, Ph.D., Sylvie
)
Completed projects
Geometry driven assembly of proteins
(Project Heads
Evans, Myfanwy E.
;
Friesecke, Gero
)
Ropelength for periodic links
(Project Heads
Evans, Myfanwy E.
;
Sullivan, Ph.D., John M.
)
Research Training Groups
Completed projects
GRK 251: Stochastic Processes and Probabilistic Analysis
(Spokesperson
Scheutzow, Michael
)
GRK 1364: Shaping the Earth's Surface in a Variable Environment: Interactions between Tectonics, Climate and Biosphere in the African-Asian Monsoonal Region
(Spokesperson
Strecker, Ph.D., Manfred
)
GRK 1845: Stochastic Analysis with Applications in Biology, Finance and Physics
(Spokesperson
Imkeller, Peter
)
GRK 2043: Natural Hazards and Risks in a Changing World (NatRisk-Change)
(Spokesperson
Thieken, Annegret
)
International Research Training Groups
Completed projects
GRK 1339: Stochastic Models of Complex Processes and their Applications (SMCP)
(Spokesperson
Deuschel, Jean-Dominique
)
Clusters of Excellence (ExStra)
Current projects
EXC 2025: Matters of Activity. Image Space Material
(Spokespersons
Mareis, Claudia
;
Schäffner, Wolfgang
)
