Computer Algebra and Applications

The Computer Algebra and Applications (CAA) Group at RISC develops computer algebra algorithms and implements mathematical software packages with the emphasis to apply them to non-trivial applications.

This research group originated from the Algorithmic Combinatorics Group (founded by Peter Paule) which has been expanded in the last years to a wide range of applications. Currently, the CAA group focuses on algorithms for symbolic summation and integration, special functions, and modular forms. Special emphasis is put on problems coming, e.g., from

• combinatorics
• computer science
• elementary particle physics  (Feynman diagrams, QCD)
• number theory (partitions, q-series, Zeta-relations)
• numerics

that are difficult or even impossible to tackle without the tools provided from RISC.