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Freie Universität Berlin
Fachbereich Mathematik und Informatik
Institut für Mathematik

Address Arnimallee 6
14195 Berlin
Deutschland

GERiT This institution in GERiT

14195 Berlin

Projects

Research Fellowships
- Completed projects
  - Dynamics and homogenisation of partial differential equations with fast scales
    (Applicant Matthies, Karsten )
  - Gleichgewichtsmannigfaltigkeiten in Dynamischen Systemen und Verzweigungen ohne Parameter
    (Applicant Liebscher, Stefan )
  - Hyperbolische Erhaltungsgleichungen mit Quellterm
    (Applicant Härterich, Jörg )
  - Irregularity of algebraic differential equations on varieties in positive characteristic
    (Applicant Kindler, Lars )
  - Randomly perturbed graphs: Problems between random and extremal graph theory
    (Applicant Parczyk, Olaf )
  - Stability of atmospheric gravity waves
    (Applicant Schlutow, Mark )
Priority Programmes
- Current projects
  - Extremal bodies with respect to lattice functionals
    (Applicants Averkov, Gennadiy ; Codenotti, Giulia ; Freyer, Ansgar )
  - K-Theory and Normal Complexes
    (Applicant Haase, Christian )
  - Nonlinear Fracture Dynamics: Modeling, Analysis, Approximation, and Applications
    (Applicants Thomas, Marita ; Weinberg, Kerstin ; Wieners, Christian )
  - Reliability of efficient approximation schemes for material discontinuities described by functions of bounded variation
    (Applicants Bartels, Sören ; Thomas, Marita )
- Completed projects
  - Laserpuls- versus käfiginduzierte Stabilisierung von Stoßkomplexen
    (Applicant Deuflhard, Peter J. )
  - Motivic invariants of moduli spaces
    (Applicants Hoskins, Victoria ; Schmitt, Alexander )
  - Quantitative Homogenization and Averaging
    (Applicant Fiedler, Bernold )
  - Small-scale particle advection, manipulation and mixing: beyond the hydrodynamic scale
    (Applicant Straube, Arthur )
  - Topological dihedral homology of group rings
    (Applicant Reich, Holger )
  - Viskose Profile für Systeme von balance laws
    (Applicant Fiedler, Bernold )
Research Grants
- Current projects
- Completed projects
Heisenberg Fellowships
- Completed projects
  - Geometrische Invariantentheorie
    (Applicant Schmitt, Alexander )
  - Non-variational hysteresis: self-organization and pattern formation
    (Applicant Gurevich, Ph.D., Pavel )
Independent Junior Research Groups
- Completed projects
  - Gitterpolytope, insbesondere Triangulierungs- und Überdeckungseigenschaften. Beziehungen zu torischen Varietäten und String Theorie
    (Applicant Haase, Christian )
Research Units
- Completed projects
  - Discrete implicit surfaces
    (Applicant Polthier, Konrad )
Heisenberg Professorships
- Completed projects
  - Discrete methods in algebra and algebraic geometry; tropical geometry, toric algebra and convex methods in algorithmic algebraic geometry
    (Applicant Haase, Christian )
Collaborative Research Centres
- Current projects
  - Adaptive coupling of scales in molecular dynamics and beyond to fluid dynamics
    (Project Heads Delle Site, Luigi ; Höfling, Felix ; Klein, Rupert )
  - Coordination and administration
    (Project Heads Klein, Rupert ; Kornhuber, Ralf ; Noé, Frank ; Thomas, Marita )
  - Dynamics of rock dehydration on multiple scales
    (Project Heads John, Timm ; Thomas, Marita )
  - Interface dynamics: Bridging stochastic and hydrodynamic descriptions
    (Project Heads Mielke, Alexander ; Netz, Roland ; Patterson, Robert ; Thomas, Marita )
  - Materials with discontinuities on many scales
    (Project Heads Heida, Martin ; Thomas, Marita )
  - Multiscale data and asymptotic model assimilation for atmospheric flows
    (Project Heads Klein, Rupert ; Reich, Sebastian ; Schillings, Claudia )
  - Multiscale modeling and simulation of spatio-temporal master equations
    (Project Heads Höfling, Felix ; Netz, Roland ; Noé, Frank ; Schütte, Christof ; Winkelmann, Stefanie )
  - Numerical analysis for nonlinear SPDE models of particle systems
    (Project Heads Djurdjevac, Ana ; Perkowski, Nicolas )
  - SFB 1114: Scaling Cascades in Complex Systems
    (Spokespersons Klein, Rupert ; Kornhuber, Ralf ; Noé, Frank ; Thomas, Marita )
- Completed projects
  - Algebraic Geometry: Deformations, Moduli and Vector Bundles
    (Project Heads Altmann, Klaus ; Farkas, Gavril ; Schmitt, Alexander )
  - Algebraic Topology: Rigidity and Dynamics
    (Project Head Reich, Holger )
  - Algebraic Varieties and Principal Bundles: Semistable Objects and their Moduli Spaces
    (Project Heads Farkas, Gavril ; Schmitt, Alexander )
  - Analysis of Spatio-Temporal Patterns: Kinematics and Control
    (Project Heads Fiedler, Bernold ; Liebscher, Stefan )
  - Anomalous Michaelis-Menten kinetics in crowded environments
    (Project Head Höfling, Felix )
  - Dynamics of Cosmological Models: The Tumbling Universe
    (Project Heads Fiedler, Bernold ; Liebscher, Stefan ; Rendall, Alan )
  - Experimentelle Mathematik und Visualisierung
    (Project Heads Pinkall, Ulrich ; Polthier, Konrad )
  - Mathematical Physics: Dynamics and Nonlinear Evolution Equations in General Relativity
    (Project Heads Ecker, Klaus ; Fiedler, Bernold ; Huisken, Gerhard ; Rendall, Alan )
  - Reaction-diffusion systems: hysteresis and nonlocal interactions
    (Project Head Gurevich, Ph.D., Pavel )
  - Singularity Structure, Longtime Behaviour and Dynamics of Solutions of Nonlinear Evolution Equations
    (Project Heads Ecker, Klaus ; Fiedler, Bernold ; Schnürer, Oliver )
  - Spatio-temporal patterns: control, delays, and design
    (Project Heads Fiedler, Bernold ; Schneider, Isabelle )
  - Strings, D-Branes, and Manifolds of Special Holonomy
    (Project Heads Farkas, Gavril ; Schmitt, Alexander )
  - Theory for dynamics and control of photoinduced processes in large molecular systems
    (Project Heads Lasser, Caroline ; Schmidt, Burkhard ; Schütte, Christof )
  - Topological Rigidity and Dynamics
    (Project Head Reich, Holger )
CRC/Transregios
- Current projects
  - Bayesian inference and mean field approximation for nonlinear (S)PDE
    (Project Heads Schillings, Claudia ; Spokoiny, Vladimir ; Wang, Sven )
  - Mean field theories and scaling limits of nonlinear stochastic evolution systems
    (Project Heads Stannat, Wilhelm ; Thomas, Marita )
  - (S)PDEs on time-dependent random domains
    (Project Heads Djurdjevac, Ana ; Schillings, Claudia )
- Completed projects
  - Computational and structural aspects in multi-scale shape interpolation
    (Project Heads Cremers, Daniel ; Polthier, Konrad )
  - Discrete Riemann surfaces
    (Project Heads Bobenko, Alexander I. ; Bücking, Ulrike ; Springborn, Boris )
  - Integrating discrete geometries and finite element methods
    (Project Heads Bornemann, Folkmar ; Polthier, Konrad )
  - Moduli with GIT
    (Project Head Schmitt, Alexander )
DFG Research Centres
- Completed projects
  - Visualization
    (Project Heads Polthier, Konrad ; Sullivan, Ph.D., John M. ; Ziegler, Günter M. )
Research Training Groups
- Completed projects
  - GRK 1150: Homotopy and Cohomology
    (Spokesperson Bödigheimer, Carl-Friedrich )
  - GRK 1408: Methods for Discrete Structures
    (Spokesperson Skutella, Martin )
  - GRK 1953: Statistical Modelling of Complex Systems and Processes - Advanced Nonparametric Approaches
    (Spokesperson Döring, Leif )
  - GRK 2434: Facets of Complexity
    (Spokesperson Rote, Günter )
International Research Training Groups
- Current projects
  - GRK 2544: Stochastic Analysis in Interaction
    (Spokesperson Bank, Peter )
- Completed projects
  - GRK 1800: Moduli and Automorphic Forms: Arithmetic and Geometric Aspects
    (Spokesperson Kramer, Jürg )
Graduate Schools
- Completed projects
  - GSC 14: Berlin Mathematical School (BMS)
    (Spokespersons Kramer, Jürg ; Sullivan, Ph.D., John M. ; Ziegler, Günter M. )
Clusters of Excellence (ExStra)
- Current projects
  - EXC 2025: Matters of Activity. Image Space Material
    (Spokespersons Mareis, Claudia ; Schäffner, Wolfgang )
  - EXC 2046: MATH+: Berlin Mathematics Research Center
    (Spokespersons Hintermüller, Michael ; Pokutta, Sebastian ; Schillings, Claudia ; Schütte, Christof ; Skutella, Martin ; Walther, Andrea )

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