Coordination Funds

• Applicant: Professor Dr. Christian Stump
• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 539662315

Combinatorics is the study of finite and discrete structures. Starting from fundamental questions about orderings, decompositions and structures of finitely many objects or states, combinatorics represents the nanotechnology of mathematics and its applications. Due to its interdisciplinarity, it is a central mathematical research area with influence across disciplinary boundaries. Questions are unified and sound theories with intrinsic questions and methods are developed from structurally related approaches. Discrete data has always been a source for the development of mathematical theories. Their analysis is comparable to the derivation of physical laws from observations of phenomena in nature. Due to the complexity of mathematical observations we are at the beginning of a revolution for the development cycles in the interplay between data and structure. This priority program identifies the following nine thematic directions guiding and organizing the research efforts. These are Enumeration, Dynkin Classification, Commutative Algebra, Matroids, Convexity, Lattice Points, Statistics, Non-linear Optimization, and Mathematical Physics. This program links the huge potential of excellent and dynamic combinatorics groups. It will enable breakthrough advances within and across the thematic areas. In the process, the accessibility and usability of discrete data will act as a multiplier. A globally visible combinatorics network in modern basic mathematical research will be created.

• DFG Programme: Priority Programmes
• Subproject of: SPP 2458: Combinatorial Synergies