Projects (52)

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  • Approximation und Rekonstruktion von Spannungen in der Momentankonfiguration für hyperelastische Materialmodelle

    Bertrand, Fleurianne, Prof. Dr. (Computational Mathematics)

    Duration of Project: 09/2019 - 08/2022

    Financer: DFG: Sachbeihilfe

    Numerical simulation techniques are an essential component for the construction, design and optimisation of cutting-edge technologies as for example innovative products, new materials as well as medical-technical applications and production processes ...

  • Die Zukunft des MINT-Lernens

    Pinkwart, Niels, Prof. Dr. (Computing and Society and Didactics of Informatics)

    Duration of Project: 02/2019 - 01/2022

    Financer: Sonstige Stiftungen
  • Kolleg Mathematik Physik Berlin

    Kreimer, Dirk, Prof. (Theoretical Physics / Mathematical Physics)

    Duration of Project: 01/2016 - 12/2020

    The Kolleg Mathematik Physik Berlin is an interdisciplinary center at Humboldt University Berlin. Its community of research groups shares a mutual interest in Mathematics and Physics. Quantum field theory is their unifying theme, which connects to al ...

  • Math+ Hauptkonto

    Tischendorf, Caren, Prof. Dr. (Applied Mathematics)

    Duration of Project: 01/2019 - 12/2021

    Financer: DFG Exzellenzstrategie: Cluster
  • Andrejewski Day on the topic: "Stability Phenomena in Geometry and Mathematical Physics"

    Müller, Olaf, Dr. (Analysis II)

    Duration of Project: 10/2018 - 10/2018

    Financer: Sonstige Stiftungen

    The Andrejewski Day takes part in the frame of the conference "Stability Phenomena in Geometry and Mathematical Physics". There is special emphasis on Mathematical Physics in all talks of that day.

  • Central European Network for Teaching and Research in Academic Liaison (CENTRAL) 08 Analysis and Numerics for Partial Differential Equations

    Carstensen, Carsten, Prof. (Numerical Handling of Differential Equations)

    Duration of Project: 03/2015 - 12/2018

    Financer: DAAD

    In the last 250 years, partial differential equations have emerged as one of the most important resources for humanity in understanding a wide variety of phenomena. Firstly, in science and technology: mechanics and mathematical models based on partia ...

  • CH 12: Advanced Magnetic Resonance Imaging: Fingerprinting and Geometric Quantification

    Hintermüller, Michael, Prof. Dr. (Applied Mathematics)

    Duration of Project: 06/2017 - 12/2018

    Financer: Einstein Stiftung Berlin

    Very recently, magnetic resonance fingerprinting (MRF) has been introduced as a highly promising MRI acquisition scheme which allows for the simultaneous quantification of the tissue parameters (e.g. T1, T2 and others) using a single acquisition proc ...

  • Characteristic Cycles and Representation Theory

    Krämer, Thomas, Prof. Dr. (Algebra and Number Theory)

    Duration of Project: 10/2020 - 09/2023

    Financer: DFG: Sachbeihilfe

    The project combines algebraic geometry with the theory of D-modules and perverse sheaves. Its main goal is to study subvarieties of abelian varieties via characteristic cycles, conic Lagrangian cycles on the cotangent bundle which encode subtle info ...

  • Cluster of Excellence 2025: Matters of Activity. Image Space Material

    Schäffner, Wolfgang, Prof. Dr. phil. (Knowledge and Cultural History)

    Duration of Project: 01/2019 - 12/2025

    Financer: DFG Exzellenzstrategie: Cluster

    A ground-breaking event of the 21st century is and will be the re-invention of the analogue in the digital age. Its core is a new active materiality which is beginning to transform research and everyday life. In the future, techniques will no longer ...

  • CRC 1294/1: Data Assimilation – The Seamless Integration of Data and Models

    Reiß, Markus, Prof. Dr. (Mathematical Statistics)

    Duration of Project: 07/2017 - 06/2021

    Financer: DFG: Sonderforschungsbereich

    The seamless integration of large data sets into sophisticated computational models provides one of the central research challenges for the mathematical sciences in the 21st century. When the computational model is based on evolutionary equations and ...

  • CRC 1294/1: Nonlinear Statistical Inverse Problems With Random Observations (SP A04)

    Reiß, Markus, Prof. Dr. (Mathematical Statistics)

    Duration of Project: 07/2017 - 06/2021

    Financer: DFG: Sonderforschungsbereich - Beteiligungen

    The project deals with nonlinear statistical inverse problems; the goal is to estimate from random observations the functional relation between observable covariates and intrinsic (unobservable) parameters of a system whose output is observed. The sy ...

  • CRC 1294/1: Statistics for Stochastic Partial Differential Equations (SPDEs) (SP A01)

    Reiß, Markus, Prof. Dr. (Mathematical Statistics)

    Duration of Project: 07/2017 - 06/2021

    Financer: DFG: Sonderforschungsbereich - Beteiligungen

    The project will contribute to the emerging field of statistics for stochastic partial differential equations (SPDEs). General principles of statistical inference for SPDEs and nonparametric methods will be developed systematically. In parallel, spec ...

  • CRC 647/1–2: Strings, D-Branes and Manifolds of Special Holonomy (SP A01)

    Farkas, Gavril, Prof. Dr. (Collaborative Research Centre 647 'Space-Time-Matter. Analytic and Geometric Structures')

    Duration of Project: 01/2005 - 06/2009

    Financer: DFG: Sonderforschungsbereich

    The aim of the project is to investigate and to construct manifolds of special holonomy as well as their supersymmetric submanifolds and relate their properties to physical questions in string theory.

  • CRC 787/3: Quantum Networks Based on Single Photons (SP C02)

    Benson, Oliver, Prof. Dr. rer. nat. (Experimental Physics / Nanooptics)

    Duration of Project: 01/2016 - 12/2019

    Financer: DFG: Sonderforschungsbereich - Beteiligungen

    The project addresses the generation of single photons and photon pairs, as well as their application in quantum information processing. Three objectives have been identified: (1) High-quality single photons are to be generated via resonant excitatio ...

  • CRC/ TRR 109/3: Geometric Rigidity in Spin Systems (SP B11)

    Zwicknagl, Barbara, Prof. Dr. (Applied Analysis)

    Duration of Project: 07/2020 - 06/2024

    Financer: DFG: Sonderforschungsbereich - Beteiligungen

    The project aims at developing a deeper understanding of typical low-energy states and to derive coarse-grained continuum theories of variational lattice spin theories. One of the main difficulties in this respect is the lack of understanding of elem ...

  • CRC-TRR 154/1: Hierarchical PDAE-surrogate-modeling and stable PDAE-network-discretization for simulating large non-stationary gas networks (SP C02)

    Tischendorf, Caren, Prof. Dr. (Applied Mathematics)

    Duration of Project: 10/2014 - 06/2022

    Financer: DFG: Sonderforschungsbereich - Beteiligungen

    This subproject focuses on the development and analysis of models and methods for a stable and fast simulation of huge transient gasnetworks, which will also be used for an efficient parameter optimization and control of the network. The main aspects ...

  • CRC-TRR 154/1: Multicriteria Optimization Subject to Equilibrium Constraints at the Example of Gas Markets (SP B02)

    Hintermüller, Michael, Prof. Dr. (Applied Mathematics)

    Duration of Project: 10/2014 - 06/2022

    Financer: DFG: Sonderforschungsbereich - Beteiligungen

    The objective is to provide a mathematical description of markets that are coupled with physical processes for investigating economic questions regarding the behavior of market participants or optimal capacity utilization of the transport network. Th ...

  • CRC-TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks

    SZF-1, Leitung Servicezentrum Forschung, (Research Service Centre)

    Duration of Project: 07/2014 - 06/2022

    Financer: DFG: Sonderforschungsbereich

    The latest and still ongoing discussion on Diesel engines and the phasing out of charcoal have disclosed that there is an urgent need by the society for a clean and ecologically friendly handling of energy. This not only applies for the mobile sector ...

  • DFG FG 797/1: "Analysis and computation of microstructure in finite plasticity" - Participating project P1-1: "Numerical algorithms for the simulation of finite plasticity with microstructures"

    Carstensen, Carsten, Prof. (Research Groups (DFG))

    Duration of Project: 06/2007 - 12/2012

    Financer: DFG: Forschergruppen

    Participating project in "Analysis and computation of microstructure in finite plasticity". The occurrence of microstructures in solid mechanics can be attributed to a loss of the convexity characteristics of the underlying energy potentials. Specif ...

  • DFG FG 797/2: "Analysis and computation of microstructure in finite plasticity" - Participating project P1-1: "Numerical algorithms for the simulation of finite plasticity with microstructures"

    Carstensen, Carsten, Prof. (Numerical Handling of Differential Equations)

    Duration of Project: 10/2010 - 06/2016

    Financer: DFG: Forschergruppen

    The occurrence of microstructures in solid mechanics and, in particular, in finite plasticity can be attributed to a loss of the convexity of the underlying energy potentials. While the material deforms macroscopically, structures in the form of shea ...

  • Error characterization in CFRP shell components using derivative-based optimization processes

    Walther, Andrea, Prof. Dr. (Mathematical Optimization)

    Duration of Project: 03/2020 - 02/2022

    Financer: DFG: Sachbeihilfe

    Ultrasonic approaches are often used for the non-destructive testing of parts and components. The standard test methods usually only allow statements about the reflectivity or sound attenuation of a defect, but not about its exact size and shape. In ...

  • EXC 2046/1: Algebraic and Arithmetic Geometry

    Farkas, Gavril, Prof. Dr. (Algebraic Geometry I)

    Duration of Project: 04/2020 - 03/2022

    Financer: DFG-Exzellenzinitiative: Cluster

    Berlin is a leading place for application-oriented mathematics, distinguished in particular by the success story of the Research Centre MATHEON with its focus on modelling, simulation, and optimization (MSO) for key technologies. Building on this str ...

  • EXC 2046/1: Transition

    Hintermüller, Michael, Prof. Dr. (Applied Mathematics)

    Duration of Project: 01/2019 - 09/2019

    Financer: DFG-Exzellenzinitiative: Cluster
  • EXC 2046/1: Transition 2

    Rösken-Winter, Bettina, Prof. Dr. (Mathematics Teaching and Didactics in Primary Step)

    Duration of Project: 01/2019 - 12/2019

    Financer: DFG-Exzellenzinitiative: Cluster
  • EXC 2046/1: Transition 3

    Klimm, Max, Prof. Dr. (Quantitative Business)

    Duration of Project: 01/2019 - 12/2019

    Financer: DFG-Exzellenzinitiative: Cluster
  • EXC 2046: Berlin Mathematics Research Center (MATH+)

    Tischendorf, Caren, Prof. Dr. (Applied Mathematics)

    Duration of Project: 01/2019 - 12/2025

    Financer: DFG Exzellenzstrategie: Cluster

    MATH+, the Berlin Mathematics Research Center, is a cross-institutional and interdisciplinary Cluster of Excellence. It sets out to explore and further develop new approaches in application-oriented mathematics. Emphasis is placed on mathematical pri ...

  • FOR 2402/2: Rough Paths and Random Dynamical Systems (SP 04)

    Imkeller, Peter, Prof. Dr. rer. nat. (Applied Theory of Probability)

    Duration of Project: 06/2019 - 05/2022

    Financer: DFG: Forschergruppen

    We investigate geometric properties of Weierstrass curves with one or two components, representing series based on trigonometric functions. They are Hölder continuous, and not controlled with respect to each other. They can be embedded into a smooth ...

  • Gauge Dependence and Dyson-Schwinger Equations

    Kreimer, Dirk, Prof. (Theoretical Physics / Mathematical Physics)

    Duration of Project: 10/2017 - 12/2019

    Financer: DFG: Sachbeihilfe

    For gauge theories in particular we want to clarify the interplay between quantization and gauge fixing in covariant gauges and the structure of (systems of) Dyson–Schwinger equations (DSE). We want to investigate this in the context of higher dimens ...

  • Gauge Dependence and Dyson-Schwinger Equations II

    Kreimer, Dirk, Prof. (Theoretical Physics / Mathematical Physics)

    Duration of Project: 01/2020 - 12/2021

    Financer: DFG: Sachbeihilfe

    We aim at an understanding of gauge invariance in off-shell Green functions. Modern algebraic algebraic methods allow to attack the problem via the study of co-ideals in Hopf algebras. Green functions appear as solutions to fixed point equations in t ...

  • MathEnergy - Mathematical Key-Technologies for Energy Grids in Transition, Subproject: analysis of scenarios of coupled gas and electricity nets

    Tischendorf, Caren, Prof. Dr. (Applied Mathematics)

    Duration of Project: 10/2016 - 01/2021

    Financer: Bundesministerium für Wirtschaft und Technologie

    For a sustainable and CO2-neutral energy supply the entire energy cycle in electricity, gas and heat nets has to be taken in to account. For a reliable supply and efficiency of net load and upgrading, respectively, supply and demand should be balance ...

  • Modelling, Stability and Synchronization of Traffic Flow Networks

    Tischendorf, Caren, Prof. Dr. (Applied Mathematics)

    Duration of Project: 06/2017 - 12/2018

    Financer: Einstein Stiftung Berlin

    In this project, we investigate the dynamics and stability of traffic flow networks. So far, most traffic flow models focus on either macroscopic or microscopic effects. There is almost no work on mesoscopic models including microscopic elements such ...

  • Model reduction based simulation of coupled PDAE systems

    Tischendorf, Caren, Prof. Dr. (Applied Mathematics)

    Duration of Project: 07/2013 - 06/2016

    Financer: BMBF

    The modeling and analysis of complex multidisciplinary problems leads typically to coupled Systems of differential-algebraic equations and partial differential equations (PDAEs). Application examples are given in several fields, for example in the an ...

  • Network and Mechanism Design for Metropolitan Infrastructures

    Klimm, Max, Prof. Dr. (Quantitative Business)

    Duration of Project: 01/2017 - 05/2017

    Financer: Einstein Stiftung Berlin
  • Numerical Analysis of Abstract Differential-Algebraic Equations

    Tischendorf, Caren, Prof. Dr. (Applied Mathematics)

    Duration of Project: 03/2013 - 12/2013

    Financer: DFG: Sachbeihilfe
    The project analyses so called abstract differential algebraic equations (ADAEs). In general, one can describe them as
    differential algebraic equations (DAEs) on infinitely dimensional Banach spaces. Such systems arise, for example, from modelling ...
  • Numerical Simulation of High-Frequency Circuits in Communication Technology

    Tischendorf, Caren, Prof. Dr. (Numerical Mathematics I)

    Duration of Project: 06/2004 - 05/2007

    Financer: BMBF

    Das Ziel besteht in der Entwicklung und Implementierung effizienter numerischer Verfahren zur Simulation von Hochfrequenz(HF)-Schaltungen der Kommunikationstechnik. Solche Schaltungen zeichnen sich durch eine hohe Komplexität der integrierten Systeme ...

  • Online simulation and optimization for an efficient control of pumps in drinking water distribution systems

    Tischendorf, Caren, Prof. Dr. (Applied Mathematics)

    Duration of Project: 07/2012 - 06/2014

    Financer: BMBF

    The project aims a prototypical development of an online simulation and optimization tool for determining energy efficient optimized operating modes of drinking water distribution systems. It focuses on a reservoir management, which is adapted to the ...

  • OT6 : Optimization and Control of Electrowetting on Dielectric for Digital Microfluidics in Emerging Technologies

    Hintermüller, Michael, Prof. Dr. (Applied Mathematics)

    Duration of Project: 06/2017 - 12/2018

    Financer: Einstein Stiftung Berlin

    A number of emerging key technologies in microbiology, medical diagnostic devices, personal genomics, as well as next-generation low-energy OLED displays and liquid lenses make use of a phenomenon known as electrowetting on dielectric (EWOD). Electro ...

  • PP 1617: Phenotypic Heterogeneity and Sociobiology of Bacterial Populations

    Hengge, Regine, Prof. Dr. (Microbiology)

    Duration of Project: 07/2015 - 12/2019

    Financer: DFG: Sachbeihilfe

    Bakterielle Biofilme zeigen räumliche physiologische Differenzierung, die Nährstoff- und/oder Sauerstoffgradienten folgt. Fluoreszenz- und EM-Analysen von Kryoschnitten durch Makrokoloniebiofilme von E. coli zeigen eine klare Stratifizierung mit wach ...

  • RG 1735/2: Central Project: Research Unit Structural Inference in Statistics: Adaption and Efficiency

    Reiß, Markus, Prof. Dr. (Mathematical Statistics)

    Duration of Project: 09/2015 - 12/2019

    Financer: DFG: Forschergruppen
    The central project comprises the overall activities of the research group and manages in particular the travel, guest and equal opportunities fund for all participating scientist.

    Because of the increasing availability of data, statistics plays a ...
  • RG 1735/2: Efficient Nonparametric Regression When the Support Is Bounded (SP 03)

    Reiß, Markus, Prof. Dr. (Mathematical Statistics)

    Duration of Project: 07/2015 - 06/2019

    Financer: DFG: Forschergruppen

    If in nonparametric regression the support of the error distribution has a sharp boundary, then the regression function and functionals thereof can be estimated with a higher rate of convergence than in regular models. We will first examine the geome ...

  • RG 2402/1: Rough Path Theory and Random Dynamic Systems (SP 04)

    Imkeller, Peter, Prof. Dr. rer. nat. (Applied Theory of Probability)

    Duration of Project: 02/2016 - 01/2019

    Financer: DFG: Forschergruppen

    Rough paths theory and its extensions allow to analyse the solution to stochastic (partial) differential equations (S(P)DE) which could not be solved up to now. We will study the long time behaviour of these solutions. The theory of random dynamical ...

  • RG 2402/1: Singular SPDEs: Approximation and Statistical Properties (SP 05)

    Perkowski, Nicolas, Prof. Dr. (Stochastic Analysis)

    Duration of Project: 10/2016 - 09/2019

    Financer: DFG: Forschergruppen

    The powerful and novel theories of regularity structures and paracontrolled distributions have so far been used mostly for deriving existence, uniqueness and regularity results for singular stochastic partial differential equations (SPDEs). We feel t ...

  • RG 2402/2: Foundation of Regularity Structures(SP 02)

    Perkowski, Nicolas, Prof. Dr. (Stochastic Analysis)

    Duration of Project: 10/2019 - 09/2022

    Financer: DFG: Forschergruppen

    We explore new approaches to renormalization, the scope of non-local operators in Hairer’s theory of regularity structures, as well as the role of Malliavin calculus in (Gaussian) models on suitable regularity structures. Another goal is to explore t ...

  • RG 2402/2: Singular SPDEs – approximation and statistical properties (SP 05)

    Perkowski, Nicolas, Prof. Dr. (Stochastic Analysis)

    Duration of Project: 10/2019 - 09/2022

    Financer: DFG: Forschergruppen

    Our aim is to better understand the dynamic behavior of singular SPDEs. In particular, we will study stochastic interface models like the KPZ equation or wetting models and we will investigate the intermittency properties of the continuous parabolic ...

  • RTG 2434: Facets of Complexity

    Schweikardt, Nicole, Prof. Dr. (Theoretical Computer Science)

    Duration of Project: 04/2018 - 09/2022

    Financer: DFG: Graduiertenkollegs - Beteiligungen

    Complexity is a central topic both in mathematics and in computer science. It appears in various forms: there is combinatorial complexity (number) of mathematical structures; description complexity (the possibility of encoding a structure succinctly ...

  • SFB 647/2-3: Enumerative Geometry of Moduli Spaces (TP A 09/C 03)

    Farkas, Gavril, Prof. Dr. (Algebraic Geometry I)

    Duration of Project: 01/2009 - 12/2016

    Financer: DFG: Sonderforschungsbereich

    Das Leitproblem der Algebraischen Geometrie ist die Klassifikation von algebraischen Varietäten bis auf Isomorphismen. Für Varietäten der Dimension 1 greift man dieses Problem an durch Betrachtung des Modulraumes Mg von Kurven des Geschlechts g. Dies ...

  • SPP 1489: Syzygies, Hurwitz Spaces and Ulrich Sheaves

    Farkas, Gavril, Prof. Dr. (Algebraic Geometry I)

    Duration of Project: 08/2013 - 09/2017

    Financer: DFG - Schwerpunktprogramme

    Combination of methods in algebra, geometry and number theory. The Hurwitz space is the parameter space of degree k ramified coverings of the projective line by smooth curves of genus g. Via the Riemann existence theorem, every curve of genus g appea ...

  • Summer School "Stochastic Analysis, Financial and Insurance Mathematics (SAFIM)"

    Imkeller, Peter, Prof. Dr. rer. nat. (Applied Theory of Probability)

    Duration of Project: 04/2018 - 03/2019

    Financer: Volkswagen-Stiftung (VW)

    The summer school intends to introduce African students and young researchers with modern methods of stochastic analysis, in particular concepts of "microfinance" and extrem value theory.

  • Syzygien and Moduli

    Farkas, Gavril, Prof. Dr. (Algebraic Geometry I)

    Duration of Project: 05/2018 - 09/2021

    Financer: DFG: Sachbeihilfe

    The salient feature characterizing all the projects of the proposal is a variational approach to syzygies. There are two major sets of goals : On one side, find an answer to some of the outstanding questions on syzygies of algebraic curves: The Prym- ...

  • Understanding and Improving Traffic with Unknown Demands

    Klimm, Max, Prof. Dr. (Quantitative Business)

    Duration of Project: 06/2017 - 12/2018

    Financer: Einstein Stiftung Berlin
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