Assoc. Prof. Dr. Carsten Schneider
RISC - Research Institute for Symbolic Computation
Johannes Kepler University Linz
Carsten.Schneider@risc.jku.at (Tel: +43 732 2468 9966)

Projects

SFB AEC: Algorithmic and Enumerative Combinatorics

I am co-speaker of the Special Research Program (SFB, in short for the German name SpezialForschungsBereich) Algorithmic and Enumerative Combinatorics which started in March 2013. It is a special effort of three institutes, the Faculty of Mathematics (University of Vienna), the Institute for Discrete Mathematics and Geometry (Technical University Vienna), and the Research Institute for Symbolic Computation (Johannes Kepler University Linz) funded by the Austrian Science Funds (FWF).
In my project part "Computer algebra of nested sums and products" the research topics mentioned above will be pushed forward in the context of combinatorial problems.

ITN SAGEX: Scattering Amplitudes: from Geometry to Experiment

In the Innovative Training Network (ITN) SAGEX, a Marie Skłodowska-Curie Innovative Training Network funded by the European Commission, an international team consisting of physicists and mathematicians aims at gaining deeper insight and knowledge within the field of particle physics. In particular, in the project
ESR 15: ``Computer algebra for special functions ''
carried out at RISC we will exploit the fact that many arising problems in the network SAGEX can be formulated in terms of complicated integrals/sums or as strongly-coupled systems of difference/differential equations. Given such an input, we aim at better representations of these sums and integrals and extracting the desired physical information. In order to accomplish this task, new symbolic summation/integration algorithms and special function algorithms will be developed.

Former grants

  • Symbolic Summation in Perturbative Quantum Field Theory (February 2008-January 2013, grant P203477-N18 of the Austrian Science Fund)
  • LHCPhenoNet, an Initial Training Network (January 2011-December 2014, supported by the 7th Framework Programme of the European Commission, PITN-GA-2010-264564)
  • Symbolic Summation in Difference Fields (December 2003-January 2007, grant P16613-N12 of the Austrian Science Fund)