| # | Project Leader | Project Name |
| 1 | Klaus Altmann (FU Berlin) | Exploiting torus actions in algebraic geometry |
| 2 | Werner Bley (Kassel) | The Equivariant Tamagawa Number Conjecture for the base change of an abelian variety |
| 3 | Gebhard Böckle (Heidelberg) | Algorithms for quotients of Bruhat-Tits buildings and automorphic forms |
| 4 | Irene Bouw (Ulm) | Semistable reduction and wild quotient singularities |
| 5 | Johannes Buchmann (TU Darmstadt) | Algebraic-statistic attacks: Algorithms and tools |
| 6 | Wolfram Decker (TU Kaiserslautern) | Fundamental Algorithms in Singular |
| | Coordinator Project |
| 7 | Michael Dettweiler (Bayreuth) | Computational aspects of motivic Hadamard products |
| 8 | Bettina Eick (TU Braunschweig) | Applications of cohomology in group theory and number theory |
| 9 | Gavril Farkas (HU Berlin) | The study of the birational geometry of various moduli spaces of curves with the help of the computer algebra system Macaulay |
| 10 | Anne Frühbis-Krüger (Hannover) | Algorithmic methods for arithmetic surfaces and regular, minimal models |
| | Coordinator Project |
| 11 | Andreas Gathmann (Kaiserslautern) | Algorithmic Methods in Tropical Geometry |
| 12 | Ulrich Görtz (Duisburg-Essen) | Geometry of Deligne-Lusztig varieties |
| 13 | David J. Green (Jena) | Computational Cohomology for basic algebras |
| 14 | Gert-Martin Greuel (TU Kaiserslautern) | Algebraic-statistic attacks: Algorithms and tools |
| 15 | Jürgen Hausen (Tübingen) | Mori dream spaces: Theory, algorithms and implementation |
| 16 | Florian Heß (Oldenburg) | Algorithmic methods for arithmetic surfaces and regular, minimal models |
| 17 | Anders Jensen (Göttingen) | Algorithmic Methods in Tropical Geometry |
| 18 | Michael Joswig (TU Berlin) | Triangulations and other decompositions of lattice polytopes in toric and tropical geometry |
| 19 | Steffen König (Stuttgart) | Experiments with cellular structures |
| 20 | Jürgen Klüners (Paderborn) | Asymptotics of wildly ramified Galois extensions of local or global function fields |
| 21 | Axel Kohnert (Bayreuth) | Algorithms for the Computation of Canonical Forms and Groups of Automorphisms of Linear Codes over Finite Rings and Related Objects |
| 22 | Martin Kreuzer (Passau) | Development, implementation and applications of fundamental algorithms, relying on Gröbner bases in free associative algebras |
| 23 | Burkhard Külshammer (Jena) | Computing with Hecke algebras |
| 24 | Viktor Levandovskyy (Aachen) | Development, implementation and applications of fundamental algorithms, relying on Gröbner bases in free associative algebras |
| 25 | Frank Lübeck (Aachen) | Generic Character Tables in GAP |
| | Coordinator Project |
| 26 | Gunter Malle (Kaiserslautern) | Class groups and unramified extensions of number fields |
| 27 | Hannah Markwig (Saarbrücken) | Algorithmic Methods in Tropical Geometry |
| 28 | Thomas Markwig (Kaiserslautern) | Fundamental Algorithms in Singular |
| | Algorithmic Methods in Tropical Geometry |
| 29 | Ernst W. Mayr (Garching) | Degree Bounds for Gröbner Bases of Important Classes of Polynomial Ideals and Efficient Algorithms (GBiC PolyA) |
| 30 | Jürgen Müller (Jena) | Computing with Hecke algebras |
| 31 | Gerhard Pfister (TU Kaiserslautern) | Fundamental Algorithms in Singular |
| 32 | Wilhelm Plesken (Aachen) | Elimination and Counting via Thomas Decomposition |
| 33 | Daniel Robertz (Aachen) | Elimination and Counting via Thomas Decomposition |
| 34 | Gerhard Röhrle (Bochum) | Computational aspects of the Cohomology of Coxeter arrangements: On Conjectures of Lehrer-Solomon and Felder-Veselov |
| 35 | Michael Sagraloff (Saarbrücken) | Design, analysis, and implementation of efficient and reliable algorithms for complex geometric objects |
| 36 | Oliver Schnürer (Konstanz) | Computer algebra for geometric evolution equations |
| 37 | Frank-Olaf Schreyer (Saarbrücken) | Syzygies, experiments in algebraic geometry and unirationality questions for moduli spaces |
| 38 | Werner M. Seiler (Kassel) | Bifurcations and Singularities of Algebraic Differential Equations |
| 39 | Michael Stoll (Bayreuth) | Algorithmic and Experimental Arithmetic Geometry |
| 40 | Duco van Straten (Mainz) | Monodromy Algorithms in Singular |
| 41 | Alfred Wassermann (Bayreuth) | Algorithms for the Computation of Canonical Forms and Groups of Automorphisms of Linear Codes over Finite Rings and Related Objects |
| 42 | Andreas Weber (Bonn) | Bifurcations and Singularities of Algebraic Differential Equations |
| 43 | Stefan Wewers (Hannover) | Semistable reduction and wild quotient singularities |
| 44 | Gabor Wiese (Luxembourg) | Algorithmic and experimental aspects of modular Galois representations over finite and modulo prime powers |