| # | Project Leader | Project Name |
| 1 | Klaus Altmann (FU Berlin) | Exploiting torus actions in algebraic geometry |
| 2 | Mohamed Barakat (TU Kaiserslautern) | Constructive derived equivalences and equivariant vector bundles |
| 3 | Laurent Bartholdi (Göttingen) | Algorithmic aspects of branch groups |
| 4 | Gebhard Böckle (Heidelberg) | Computational aspects of modular forms and p-adic Galois representations |
| 5 | Irene Bouw (Ulm) | L-functions and other arithmetic invariants of curves of genus greater than or equal to 3 |
| 6 | Winfried Bruns (Osnabrück) | Algorithms for rational cones and toric geometry |
| 7 | Johannes Buchmann (TU Darmstadt) | Improving and Combining Gröbner bases and SAT solving techniques for algebraic cryptanalysis |
| 8 | Michael Cuntz (TU Kaiserslautern) | Combinatorial and geometric structures for reflection groups and groupoids |
| | Arrangements of complex reflection groups: Geometry and combinatorics |
| 9 | Ishai Dan-Cohen (Duisburg-Essen) | Explicit Chabauty-Kim theory for the thrice punctured line |
| 10 | Wolfram Decker (TU Kaiserslautern) | Fundamental Algorithms in Singular |
| | Coordinator Project |
| 11 | Ulrich Derenthal (LMU Müchen) | Symmetries of singular del Pezzo surfaces in algebraic and arithmetic geometry |
| 12 | Michael Dettweiler (Bayreuth) | Geometric Aspects of Differential Equations |
| 13 | Bettina Eick (TU Braunschweig) | Classification of nilpotent associative algebras and coclass theory |
| 14 | Gavril Farkas (HU Berlin) | Syzygies, Hurwitz spaces and Ulrich sheaves |
| 15 | Claus Fieker (TU Kaiserslautern) | Class group computation in large fields |
| 16 | Anne Frühbis-Krüger (Hannover) | Algorithmic methods for arithmetic surfaces and regular, minimal models |
| 17 | Andreas Gathmann (Kaiserslautern) | Algorithmic tropical intersection theory on moduli spaces |
| 18 | Meinolf Geck (Stuttgart) | Computing with Coxeter groups and Hecke algebras (CHEVIE/PyCox) |
| 19 | Ulrich Görtz (Duisburg-Essen) | Semistable resolutions of local models |
| 20 | Gert-Martin Greuel (TU Kaiserslautern) | Improving and Combining Gröbner bases and SAT solving techniques for algebraic cryptanalysis |
| 21 | Jürgen Hausen (Tübingen) | Symmetries of singular del Pezzo surfaces in algebraic and arithmetic geometry |
| 22 | Florian Heß (Oldenburg) | Algorithmic methods for arithmetic surfaces and regular, minimal models |
| | Complex Multiplication: Class invariants and cryptographic applications |
| 23 | Michael Joswig (TU Berlin) | Polyhedral Fan Structures in Toric and Tropical Geometry |
| 24 | Steffen König (Stuttgart) | Experiments with cellular structures |
| 25 | Wolfgang Kimmerle (Stuttgart) | Units in integral group rings |
| 26 | Simon King (Jena) | Standard basis methods for path algebra quotients |
| 27 | Jürgen Klüners (Paderborn) | Computational Galois Theory for Local Fields |
| 28 | Hannah Markwig (Saarbrücken) | Algorithmic tropical intersection theory on moduli spaces |
| 29 | Jürgen Müller (Jena) | Computational aspects of block theory of finite groups |
| 30 | Gabi Nebe (RWTH Aachen) | Arithmetic methods for finitely generated matrix groups |
| 31 | Gerhard Pfister (TU Kaiserslautern) | Fundamental Algorithms in Singular |
| 32 | Gerhard Röhrle (Bochum) | Arrangements of complex reflection groups: Geometry and combinatorics |
| 33 | Frank-Olaf Schreyer (Saarbrücken) | Syzygies, experiments in algebraic geometry and unirationality questions for moduli spaces |
| 34 | Mathias Schulze (TU Kaiserslautern) | Fundamental Algorithms in Singular |
| 35 | Armin Shalile (Stuttgart) | Algorithmic methods in the modular representation theory of diagram algebras |
| 36 | Andreas Stein (Oldenburg) | Computational methods for abelian varieties over number fields with complex multiplication |
| 37 | Michael Stoll (Bayreuth) | The Generalized Fermat Equation with exponents 2, 3, n |
| 38 | Christian Stump (Hannover) | Combinatorial and geometric structures for reflection groups and groupoids |
| 39 | Thorsten Theobald (Frankfurt a.M.) | Effective methods for spectrahedra in real and convex algebraic geometry |
| 40 | Duco van Straten (Mainz) | Monodromy Algorithms in Singular |
| 41 | Christopher Voll (Bielefeld) | Toroidal methods for computing zeta functions of groups and rings |
| 42 | Annegret Weng (HS f. Technik, Stuttgart) | Computational methods for abelian varieties over number fields with complex multiplication |
| 43 | Stefan Wewers (Hannover) | L-functions and other arithmetic invariants of curves of genus greater than or equal to 3 |
| 44 | Gabor Wiese (Luxembourg) | Computational aspects of modular forms and p-adic Galois representations |
People