Technische Universität Berlin
Fakultät II - Mathematik und Naturwissenschaften
Institut für Mathematik

Address Straße des 17. Juni 136
10623 Berlin
Deutschland

GERiT This institution in GERiT

10623 Berlin

Projects

Research Grants
- Current projects
  - Complexity of invariant theory of quiver representations
    (Applicants Bürgisser, Peter ; Walter, Michael )
- Completed projects
  - Aufarbeitung des mathematischen Nachlasses von Helmut Wielandt
    (Applicant Knapp, Wolfgang )
  - Combinatorial structures and algorithms in symmetric graphs
    (Applicant Skutella, Martin )
  - Computational complexity, topology, and singularities
    (Applicant Bürgisser, Peter )
  - Constant Mean Curvature Surfaces and Smoke Ring Flow
    (Applicant Pinkall, Ulrich )
  - Development efficient algorithms for global fields with applications to coding theory and cryptography
    (Applicant Pohst, Michael E. )
  - Die analytische Fixpunktfunktion im Kreis
    (Applicant Pommerenke, Christian )
  - Ein erweitertes kontinuierliches Zeitmodell für dynamische Netzwerkflüsse
    (Applicant Skutella, Martin )
  - Entropie, Geometrie und Kodierung großer Quanten-Informationssysteme
    (Applicant Seiler, Ruedi )
  - Entropie und Kodierung stationärer Spinsysteme in der Quanteninformationstheorie
    (Applicant Seiler, Ruedi )
  - Geglättete Analyse von Konditionszahlen
    (Applicant Bürgisser, Peter )
  - Geometric Problems and Special PDEs
    (Applicant Pinkall, Ulrich )
  - Geometrie der Zahlen und Ehrhart-Polynome
    (Applicant Henk, Martin )
  - Image content recognition and segmentation for multimedia applications
    (Applicant Seiler, Ruedi )
  - Investigation of conformal maps onto domains defined by various types of convexity
    (Applicant Pommerenke, Christian )
  - Investigation of Moebius-invariant families of meromorphic functions
    (Applicant Pommerenke, Christian )
  - Iteration und die Fixpunktfunktion
    (Applicant Pommerenke, Christian )
  - Konsistenz in verteilten Systemen mit unzuverlässigen und zeitverzögernden Datenkanälen
    (Applicant Wolisz, Adam )
  - Methods for modeling and large-scale simulation of multi-destination pedestrian crowds
    (Applicants Bärwolff, Günter ; Nagel, Kai ; Schwandt, Hartmut )
  - Optimal impartial mechanisms
    (Applicant Klimm, Max )
  - Projektplanung mit variablen Vorgangsdauern
    (Applicant Möhring, Rolf H. )
  - Rationale Ehrhart Quasipolynome
    (Applicant Henk, Martin )
  - Rough stochastic volatility and related topics
    (Applicants Bayer, Christian ; Friz, Peter Karl )
  - Smoothing and non-smoothing via Ricci Flow
    (Applicant Borer, Franziska )
  - Solutions and stability of the semi-classical Einstein equation on Friedman-Robertson-Walker spacetimes - a phase space approach
    (Applicant Gottschalk, Hanno )
  - Stochastic methods in quantum field theory
    (Applicant Gottschalk, Hanno )
Research Fellowships
- Completed projects
  - Approximate Mechanisms without Payments
    (Applicant Fischer, Felix )
  - Asymptotisches Verhalten nichtreversibler Markovprozesse
    (Applicant Stannat, Wilhelm )
  - Berechnung von Normalformen für strukturierte Matrizenbüschel
    (Applicant Mehl, Christian )
  - Geometric Methods in the Probabilistic Analysis of Condition Numbers
    (Applicant Lotz, Martin )
  - Untersuchungen zu kanonischen Differentialgleichungssystemen
    (Applicant Winkler, Henrik )
Emmy Noether Independent Junior Research Groups
- Completed projects
  - Construction, analysis and implementation of iterative methods for large systems of linear equations
    (Applicant Liesen, Jörg )
Priority Programmes
- Current projects
- Completed projects
  - Algorithmen für komplexe Schedulingprobleme
    (Applicant Möhring, Rolf H. )
  - Algorithm Engineering für Real-Time Scheduling und Routing
    (Applicants Eisenbrand, Friedrich ; Skutella, Martin )
  - Algorithms for solving time-dependent routing problems with exponential output size
    (Applicant Skutella, Martin )
  - Application of rough path theory for filtering and numerical integration methods
    (Applicant Friz, Peter Karl )
  - Competitive Exploration of Large Networks
    (Applicant Klimm, Max )
  - Complex Multiplication: Class invariants and cryptographic applications
    (Applicant Heß, Florian )
  - Constrained Willmore surfaces
    (Applicants Pedit, Franz ; Pinkall, Ulrich )
  - Constrained Willmore surfaces
    (Applicant Bobenko, Alexander I. )
  - Effiziente Algorithmen für wegbasierte und dynamische Flussprobleme in großen Netzwerken
    (Applicants Möhring, Rolf H. ; Skutella, Martin )
  - Effiziente Algorithmen für wegbasierte und dynamische Flussprobleme in großen Netzwerken
    (Applicant Skutella, Martin )
  - Geometry and representation theory in computational complexity
    (Applicant Bürgisser, Peter )
  - Interagierende stochastische Systeme von hoher Komplexität
    (Applicant Deuschel, Jean-Dominique )
  - Interfaces in spatial population dynamics
    (Applicant Ortgiese, Marcel )
  - Intermittenz und Verzweigung in katalytischen und stationären Zufallsmedien
    (Applicant Gärtner, Jürgen )
  - Kombinatorische Algorithmen zur Vierecks- und Hexaedernetzgenerierung für Finite-Elemente-Verfahren
    (Applicant Möhring, Rolf H. )
  - Rigorose Analysis von Quanten-Hall-Systemen
    (Applicant Seiler, Ruedi )
  - SPP 1033: Interagierende stochastische Systeme von hoher Komplexität
    (Spokesperson Deuschel, Jean-Dominique )
  - The linear algebra of compressed sensing, with applications to PDEs
    (Applicant Holtz, Olga )
  - Zufällige Grenzfläche: große Abweichungen, entropische Repulsion, Wetting-Transition, Tropfenkonstruktion, Ginzburg-Landau-Modelle, Irrfahrt in zufälligen Umgebungen
    (Applicant Deuschel, Jean-Dominique )
Research Units
- Completed projects
  - Coordination Funds
    (Applicant Friz, Peter Karl )
  - Discrete differential geometry of surfaces: special classes and deformations
    (Applicant Bobenko, Alexander I. )
  - Dynamic large deviations: nucleation and growth in phase transitions and avalanches in random hamiltonian systems
    (Applicant Röger, Matthias )
  - Effective interface models with gradient interactions and the Cauchy-Born rule at positive temperature
    (Applicants Deuschel, Jean-Dominique ; Luckhaus, Stephan )
  - FOR 565: Polyhedral Surfaces
    (Spokesperson Bobenko, Alexander I. )
  - 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 )
  - Geometry of discrete integrability
    (Applicant Bobenko, Alexander I. )
  - Intermittency phenomena in random media
    (Applicant Gärtner, Jürgen )
  - Konstruktive Darstellbarkeit und Approximierbarkeit von semi-algebraischen Mengen durch Polynome mit festen Grad
    (Applicant Henk, Martin )
  - Many-body systems, interacting brownian motions, and functional integrals
    (Applicant König, Wolfgang )
  - Mixed graphs and partial orders.
    (Applicant Möhring, Rolf H. )
  - Restricting valence for polyhedral surfaces and manifolds
    (Applicant Sullivan, Ph.D., John M. )
  - Singular SPDEs: Approximation and Statistical Properties
    (Applicants König, Wolfgang ; Perkowski, Nicolas )
  - SPDEs - a rough path perspective
    (Applicants Friz, Peter Karl ; Hofmanova, Ph.D., Martina ; Stannat, Wilhelm )
  - Spectral curves of polygons and triangulated tori
    (Applicant Pinkall, Ulrich )
  - Systems with many degrees of freedom: probalistic and constructive field theory methods
    (Applicants König, Wolfgang ; Salmhofer, Manfred )
  - Zentralprojekt
    (Applicant Bobenko, Alexander I. )
Heisenberg Fellowships
- Completed projects
  - Mathematical and computational aspects of functions of nonnormal matrices and bounded linear operators
    (Applicant Liesen, Jörg )
Heisenberg Professorships
- Completed projects
  - Numerische Mathematik (Numerische Lineare Algebra)
    (Applicant Liesen, Jörg )
Collaborative Research Centres
- Current projects
  - Benchmark platform for port-Hamiltonian systems
    (Project Heads Gottschalk, Hanno ; Zaspel, Peter )
  - Long-time stability and accuracy of ensemble transform filter algorithms
    (Project Heads Reich, Sebastian ; Stannat, Wilhelm ; De Wiljes, Jana )
  - Port-Hamiltonian methods in multi-objective shape optimization
    (Project Heads Bolten, Matthias ; Gottschalk, Hanno ; Klamroth, Kathrin )
  - Statistics of stochastic partial differential equations (SPDEs)
    (Project Heads Beta, Carsten ; Reiß, Markus ; Roelly, Sylvie ; Stannat, Wilhelm )
- Completed projects
  - Adiabatischer Ladungstransport
    (Project Head Seiler, Ruedi )
  - Anwendung der Computational Intelligence in der Kombinatorischen Optimierung
    (Project Heads Mutzel, Petra ; Skutella, Martin )
  - Control of stochastic mean-field equations with applications to brain networks
    (Project Head Stannat, Wilhelm )
  - Diskrete Differentialgeometrie, Quantenfeldtheorie und statistische Mechanik
    (Project Heads Bobenko, Alexander I. ; Pinkall, Ulrich )
  - Experimentelle Mathematik und Visualisierung
    (Project Heads Pinkall, Ulrich ; Polthier, Konrad )
  - Experimentelle Methoden in der Differentialgeometrie, Visualisierung
    (Project Head Pinkall, Ulrich )
  - Integrable Systeme in der Differentialgeometrie
    (Project Heads Bobenko, Alexander I. ; Pinkall, Ulrich )
  - Klassisches und quantenmechanisches inverses Problem von periodischen Potentialen
    (Project Heads Schrader, Robert ; Seiler, Ruedi )
  - Multicriteria Optimisation
    (Project Heads Borndörfer, Ralf ; Skutella, Martin )
  - Quantenmechanische Modelle
    (Project Heads Avron, Joseph ; Seiler, Ruedi )
  - Segmentierung und Kodierung komplexer geometrischer Objekte
    (Project Head Seiler, Ruedi )
  - SFB 288: Differentialgeometrie und Quantenphysik
    (Spokesperson Pinkall, Ulrich )
  - Verwaltung
    (Project Head Pinkall, Ulrich )
  - Verwaltung
    (Project Head Pinkall, Ulrich )
  - Verwaltung
    (Project Head Pinkall, Ulrich )
CRC/Transregios
- Current projects
  - Algebra and geometry of path signatures
    (Project Heads Améndola Cerón, Carlos ; Preiß, Rosa ; Sturmfels, Ph.D., Bernd )
  - Central project
    (Project Head Friz, Peter Karl )
  - Combinatorial network flow methods for instationary gas flows and gas market problems
    (Project Heads Klimm, Max ; Pfetsch, Marc Emanuel ; Skutella, Martin )
  - Mean field theories and scaling limits of nonlinear stochastic evolution systems
    (Project Heads Stannat, Wilhelm ; Thomas, Marita )
  - Online optimization of potential-based flow networks
    (Project Heads Disser, Yann ; Klimm, Max )
  - Optimal control of McKean-Vlasov stochastic partial differential equations
    (Project Heads Perkowski, Nicolas ; Stannat, Wilhelm )
  - Optimal transport meets rough analysis
    (Project Heads Friz, Peter Karl ; Liero, Matthias )
  - Random interface models, scaling limits and large deviations
    (Project Heads Deuschel, Jean-Dominique ; König, Wolfgang ; Zwicknagl, Barbara )
  - Rough analysis and mean field games
    (Project Heads Friz, Peter Karl ; Horst, Ulrich )
  - Rough backward stochastic differential equations
    (Project Heads Becherer, Dirk ; Friz, Peter Karl )
  - Signatures at the threshold of analysis, algebra and geometry: new perspectives
    (Project Heads Friz, Peter Karl ; Paycha, Ph.D., Sylvie )
  - Statistical learning from path observations
    (Project Heads Améndola Cerón, Carlos ; Bayer, Christian ; Reiß, Markus )
  - Thin films and entropic repulsion for Gaussian Free Field
    (Project Heads Deuschel, Jean-Dominique ; Otto, Felix ; Zwicknagl, Barbara )
  - TRR 388: Rough Analysis, Stochastic Dynamics and Related Fields
    (Spokesperson Friz, Peter Karl )
- Completed projects
  - Central tasks
    (Project Head Bobenko, Alexander I. )
  - Communication and Presentation
    (Project Heads Bobenko, Alexander I. ; Richter-Gebert, Jürgen ; Ziegler, Günter M. )
  - Conformal deformations of discrete surfaces
    (Project Heads Diamanti, Olga ; Pinkall, Ulrich )
  - Discrete geometric structures motivated by applications and architecture
    (Project Heads Bobenko, Alexander I. ; Müller, Christian ; Pottmann, Helmut ; Wallner, Johannes )
  - Discrete geometric structures motivated by applications in architecture
    (Project Heads Bobenko, Alexander I. ; Pottmann, Helmut )
  - Discrete multidimensional integrable systems
    (Project Heads Bobenko, Alexander I. ; Suris, Yuri B. )
  - Discrete parametrized surfaces
    (Project Heads Bobenko, Alexander I. ; Hoffmann, Tim N. ; Ziegler, Günter M. )
  - Discrete Riemann surfaces
    (Project Heads Bobenko, Alexander I. ; Bücking, Ulrike ; Springborn, Boris )
  - Discretization as perturbation: Qualitative and quantitative aspects
    (Project Heads Scheurle, Jürgen ; Suris, Yuri B. )
  - Discretizing fluids into filaments and sheets
    (Project Heads Pinkall, Ulrich ; Thuerey, Nils )
  - Geometric desingularization of non- hyperbolic equilibria of iterated maps
    (Project Heads Kühn, Ph.D., Christian ; Suris, Yuri B. )
  - Information Infrastructure
    (Project Heads Bobenko, Alexander I. ; Joswig, Michael )
  - Interactive tools for research and demonstration
    (Project Heads Hoffmann, Tim N. ; Pinkall, Ulrich ; Richter-Gebert, Jürgen ; Sullivan, Ph.D., John M. )
  - Lagrangian multiform structure and multisymplectic discrete systems
    (Project Heads Petrera, Matteo ; Suris, Yuri B. )
  - Ropelength for periodic links
    (Project Heads Evans, Myfanwy E. ; Sullivan, Ph.D., John M. )
  - Secondary fans of Riemann surfaces
    (Project Heads Joswig, Michael ; Springborn, Boris )
  - TRR 109: Discretisation in Geometry and Dynamics
    (Spokesperson Bobenko, Alexander I. )
WBP Fellowship
- Current projects
  - Frank-Wolfe Algorithms: State-Of-The-Art Convergence Rates with Biomedical Prospects
    (Applicant Wirth, Elias )
  - Geometric structures via circle patterns
    (Applicant Lutz, Carl )
- Completed projects
  - Numerical methods for physical problems with variable growth conditions
    (Applicant Kaltenbach, Alex )
DFG Research Centres
- Completed projects
  - Networks
    (Project Heads Grötschel, Martin ; Möhring, Rolf H. ; Skutella, Martin )
  - Visualization
    (Project Heads Polthier, Konrad ; Sullivan, Ph.D., John M. ; Ziegler, Günter M. )
Research Training Groups
- Completed projects
  - GRK 251: Stochastic Processes and Probabilistic Analysis
    (Spokesperson Scheutzow, Michael )
  - GRK 621: Stochastic Modelling and Quantitative Evaluation of Large Engineering Systems
    (Spokesperson Hommel, Günter )
  - GRK 693: Scientific Computation: Application-Oriented Development of Models and Algorithms
    (Spokesperson Dellnitz, Michael )
  - GRK 1408: Methods for Discrete Structures
    (Spokesperson Skutella, Martin )
  - GRK 1845: Stochastic Analysis with Applications in Biology, Finance and Physics
    (Spokesperson Imkeller, Peter )
  - GRK 2434: Facets of Complexity
    (Spokesperson Rote, Günter )
Clusters of Excellence (ExStra)
- Current projects
  - EXC 2046: MATH+: Berlin Mathematics Research Center
    (Spokespersons Hintermüller, Michael ; Pokutta, Sebastian ; Schillings, Claudia ; Schütte, Christof ; Skutella, Martin ; Walther, Andrea )
International Research Training Groups
- Current projects
  - GRK 2544: Stochastic Analysis in Interaction
    (Spokesperson Bank, Peter )
- Completed projects
  - GRK 588: Combinatorics, Geometry, and Computation
    (Spokesperson Alt, Helmut )
  - GRK 1339: Stochastic Models of Complex Processes and their Applications (SMCP)
    (Spokesperson Deuschel, Jean-Dominique )
Graduate Schools
- Completed projects
  - GSC 14: Berlin Mathematical School (BMS)
    (Spokespersons Kramer, Jürg ; Sullivan, Ph.D., John M. ; Ziegler, Günter M. )
NFDI technical and methodological consortia
- Current projects
  - MaRDI - Mathematical Research Data Initiative
    (Spokesperson Hintermüller, Michael )