Research Projects

The Faculty of Mathematics consists of 29 research groups, making it one of Germany’s largest mathematics faculties. Its research represents a broad cross-section of the many developments taking place in the discipline. They range from application-motivated questions to curiosity-driven basic research, all closely connected by the universal nature of mathematical concepts. With a wide range of externally funded research projects across the full spectrum of specialisms, the Faculty offers an attractive and international environment for early-career academics to contribute to the latest advances in mathematics. The ongoing pandemic also highlights our work in the field of mathematics education, which explores the opportunities inherent to digital tools.
current research report

Research Training Group 2553 “Symmetries and classifying spaces: analytic, arithmetic and derived”

The German Research Foundation DFG is funding a Research Training Group run by the Essen Seminar for Algebraic Geometry and Arithmetic that started April 2020. The first funding period will run for four and a half years. 

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ERC Advanced Grant for Marc Levine

2.1 Million euros are going to Levine – him being a leading expert worldwide in the field of algebraic geometry – , so that he is able to realize his project over the coming five years. It is called QUADAG – Quadratic refinements in algebraic geometry.

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Deutsche Forschungsgemeinschaft (DFG)

DFG-Priority Programs

  • SPP 1748 "Reliable Simulation Techniques in Solid Mechanics" (Co-Iniatator: Prof. G. Starke, Cooperation: AG Starke)
  • SPP 1786 "The Cross-fertilization of Homotopy Theory and Algebraic Geometry, Especially Through Motivic Homotopy Theory, Derived Algebraic Geometry and Differential Homotopy Theory" (Coordinator: Prof. M. Levine, Cooperation: AG Heinloth)
  • SPP 1962 "Nonsmooth and Complementarity-based Distributed Parameter Systems" (Co-Initiator: Prof. A. Rösch, Cooperation: AG Starke, AG Yousept)
  • SPP 1984 "Hybrid and multimodal energy systems: System theoretical methods for the transformation and operation of complex networks" (Cooperation: AG Schultz)
  • SPP 2256 "Variational Methods for Predicting Complex Phenomena in Engineering Structures and Materials" (Cooperation: AG Gastel, AG Neff)
  • SPP 2265 "Random Geometric Systems” (Cooperation: AG Winter)
  • SPP 2298 "Theoretical Foundations of Deep Learning” (Cooperation: AG Hutzenthaler)

Participation in DFG-Sonderforschungsbereich/Transregio

  • SFB/TR 154 "Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks" (AG Schultz)
  • SFB 823 "Statistical modelling of nonlinear dynamic processes" (AG Belomestny)

DFG-Research Training Groups

  • GRK 2131 "High-dimensional phenomena in probability - fluctuations and discontinuity" (Cooperation: AG Hutzenthaler, AG Winter)
  • GRK 2553 "Symmetries and classifying spaces: analytic, arithmetic and derived" (ESAGA Research Teams)


The research teams of Prof. Bärbel Barzel, Prof. Petra Scherer and Prof. Günter Törner are part of the "Deutsches Zentrum für Lehrerbildung Mathematik" (DZLM), funded by the "Deutsche Telekomstiftung" (German Telekom Foundation).

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Within the framework of the Gaspard Monge Program for Optimization and Operations research (PGMO) of the Fondation Mathematiques Jacques Hadamard, Prof. Dr. Schultz is working on "Optimization under probabilistic constraints of complex systems - Application to the Anchoring offshore wind turbines". Partners are the Université Paris Diderot, Paris VII and Électricité de France (EDF).

Digital Mathematics Teacher Education in NRW (

Never have digital teaching methods been more important – for learners but also for teachers. Preparing them for the digital future ist the main goal of the project "Digitale Mathematiklehrerbildung in NRW (".

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Essen Seminar for Algebraic Geometry and Arithmetic ESAGA

The Essen Seminar for Algebraic Geometry and Arithmetic consists of scientific research teams working in the area of algebraic geometry, algebraic K-theory, arithmetic geometry and number theory at the Essen Campus of the University of Duisburg-Essen.

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