Algorithmic Combinatorics at RISC
The Current Team
Prof. Peter Paule (team leader, Austria),
Dr. Stefan Gerhold (PostDoc, Austria),
Dr. Ralf Hemmecke (PostDoc, Germany),
Dr. Manuel Kauers (PostDoc, Germany),
Dr. Axel Riese (PostDoc, Austria),
Dr. Carsten Schneider (PostDoc, Germany),
DI Cleo Pau (PhD student, Romania),
DI Veronika Pillwein (PhD student, Austria),
Mag. Burkhard Zimmermann (PhD student, Austria),
Martin Semrad (diploma student, Austria),
and Robert Wiesinger (diploma student, Austria).
The RISC Combinatorics Group (October 2004) —
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From left to right: M. Kauers, R. Hemmecke, J.M. Garcia Vallinas,
P. Paule, A. Riese, C. Pau, B. Zimmermann, C. Schneider
We are mainly interested in the connection of classical combinatorics,
special functions, and computer algebra ("symbolic computation in
Currently, special emphasis is put on symbolic summation
and special function identities. The overall object is the
development of new algorithms and tools (computer algebra
software) which assist practical
problem solving in mathematics, but also in mathematical
chemistry (e.g., counting molecular configurations), computer
science (e.g., analysis of algorithms), physics (e.g.,
statistical mechanics), engineering (e.g., manipulation
of special functions), and computer simulation (e.g., finite element method).
produced by the RISC combinatorics
group has found many users from all over the world. It is
freely available via the web; since June 1999 several hundred
requests have been documented.
Moreover, leading mathematicians refer to the software in their talks:
D. Zeilberger at Minneapolis
National Institute of Standards and Technology
(NIST, Gaithersburg, USA) currently pursues the project of a new
and strongly updated version of the classic "Handbook of
Mathematical Functions" (Abramowitz & Stegun, 1964).
Prof. Paule has been invited to serve as editor
for the new section on computer algebra.
The RISC combinatorics group is member of the special research action
Numerical and Symbolic Scientific Computing
(SFB, sponsored by the Austrian Science Foundation FWF).
There are intense international scientific cooperations, for instance,
with Prof. George E. Andrews (PennState, USA),
with the Algorithms Project at INRIA-Paris (Dr. F. Chyzak),
Prof. Volker Strehl
Some members of the RISC combinatorics group have received international
F. Caruso ("Borsa di Studio per Corsi di
Specializazione all'Esteero" of the University of Catania, Italy),
and M. Kauers (DAAD, Germany).
For more details see also
Peter Paule's article
No. 50, July 2002.