Christoph Koutschan
Priv.-Doz. Dr.
Christoph Koutschan
Priv.-Doz. Dr.
- Senior Research Scientist
- Symbolic Computation
Biographical sketch
- Born on December 12, 1978 in Dillingen an der Donau, Germany; married, two children
- 1999 - 2005: Studies in Computer Science, FAU Erlangen-Nürnberg, Germany
- 2005 - 2009: Doctoral Studies in Mathematics, Research Institute for Symbolic Computation (RISC), JKU Linz, Austria
- 2017: Habilitation in Mathematics, JKU Linz, Austria
Former and Current Positions
- 2005 - 2007: Research Assistant, FWF Spezialforschungsbereich F013, JKU Linz, Austria
- 2006 - : Teaching Assistant, JKU Linz, Austria
- 2008 - 2009: Research Assistant, FWF project P20162-N18, JKU Linz, Austria
- 2009 - 2010: Research Scientist, Tulane University, New Orleans, USA
- 2010 - 2011: Research Scientist, Research Institute for Symbolic Computation (RISC), JKU Linz, Austria
- 2010 - : Teaching Assistant, FH Hagenberg, Austria
- 2011 - 2012: Research Scientist, MSR-INRIA Joint Centre, Orsay, France
- 2012 - : Research Scientist in the Symbolic Computation group at RICAM
- 2019 - : Member of the Works Council of the Austrian Academy of Sciences
Research interests
- Computer Algebra, Algorithmic Combinatorics, Symbolic Summation and Integration of Holonomic Functions
Publications
The (symbolic and numeric) computational challenges of counting 0-1 balanced matrices
The (symbolic and numeric) computational challenges of counting 0-1 balanced matrices. / Dougherty-Bliss, Robert; Koutschan, Christoph; Ter-Saakov, Natalya et al.
in: Enumerative Combinatorics and Applications, Jahrgang 5, Nr. 2, #S2R14, 2025.Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations. / Koutschan, Christoph; Krattenthaler, Christian; Schlosser, Michael.
in: Journal of Symbolic Computation, Jahrgang 127, 102352, 03.07.2024.Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik
Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik. / Amdeberhan, Tewodros; Moll, Victor H.; Santander, John Lopez et al.
in: Physica D: Nonlinear Phenomena, Jahrgang 456, 15.12.2023, S. 133909.Gene transfer-based phylogenetics: analytical expressions and additivity via birth-death theory
Gene transfer-based phylogenetics: analytical expressions and additivity via birth-death theory. / Katriel, Guy; Mahanaymi, Udi; Brezner, Shelly et al.
in: Systematic Biology, Jahrgang 72, 20.10.2023, S. 1403-1417.Representing piecewise linear functions by functions with small arity
Representing piecewise linear functions by functions with small arity. / Koutschan, Christoph; Moser, Bernhard; Ponomarchuk, Anton et al.
in: Applicable Algebra in Engineering, Communications and Computing, Jahrgang 36, Nr. 4, 26.09.2023, S. 595-610.Diagonals of rational functions: from differential algebra to effective algebraic geometry
Diagonals of rational functions: from differential algebra to effective algebraic geometry. / Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph et al.
in: Symmetry, Jahrgang 14, Nr. 7, 22.06.2022, S. 1297.Tweaking the Beukers integrals in search of more miraculous irrationality proofs à la Apéry
Tweaking the Beukers integrals in search of more miraculous irrationality proofs à la Apéry. / Dougherty-Bliss, Robert; Koutschan, Christoph; Zeilberger, Doron.
in: Ramanujan Journal, Jahrgang 58, 03.03.2022, S. 973-994.Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz
Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz. / Du, Hao; Koutschan, Christoph; Thanatipanonda, Thotsaporn et al.
in: European Journal of Combinatorics, Jahrgang 99, 15.01.2022, S. 103437.There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]
There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]. / Shalosh, B; Koutschan, Christoph; Zeilberger, Doron.
in: Enumerative Combinatorics and Applications, Jahrgang 1, Nr. 3, 12.03.2021, S. #S2R17.A curious family of binomial determinants that count rhombus tilings of a holey hexagon
A curious family of binomial determinants that count rhombus tilings of a holey hexagon. / Koutschan, Christoph; Thanatipanonda, Thotsaporn.
in: Journal of Combinatorial Theory. Series A, Jahrgang 166, 15.08.2019, S. 352-381.Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms
Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms. / Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph et al.
in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 51, Nr. 45, 10.10.2018, S. 455201.Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation
Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation. / Mariemi, E; Francisco, J; Hauser, Herwig et al.
in: Bulletin of the London Mathematical Society, Jahrgang 50, Nr. 4, 15.08.2018, S. 649-662.Exact ZF analysis and computer-algebra-aided evaluation in rank-1 LoS Rician fading
Exact ZF analysis and computer-algebra-aided evaluation in rank-1 LoS Rician fading. / Siriteanu, Constantin; Takemura, Akimichi; Koutschan, Christoph et al.
in: IEEE Transactions on Wireless Communications, Jahrgang 15, Nr. 8, 21.04.2016, S. 5245-5259.Lattice Green Functions: the d-dimensional face-centred cubic lattice, d = 8, 9, 10, 11, 12
Lattice Green Functions: the d-dimensional face-centred cubic lattice, d = 8, 9, 10, 11, 12. / Hassani, Saoud; Koutschan, Christoph; Maillard, Jean-Marie et al.
in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 49, Nr. 16, 17.03.2016, S. 164003.Fundamental laser modes in paraxial optics: from computer algebra and simulations to experimental observation
Fundamental laser modes in paraxial optics: from computer algebra and simulations to experimental observation. / Koutschan, Christoph; Suazo, Erwin; Sergei, K.
in: Applied Physics B: Lasers and Optics, Jahrgang 121, Nr. 3, 17.10.2015, S. 315-336.MIMO Zero-Forcing Performance Evaluation Using the Holonomic Gradient Method
MIMO Zero-Forcing Performance Evaluation Using the Holonomic Gradient Method. / Siriteanu, Constantin; Takemura, Akimichi; Kuriki, Satoshi et al.
in: IEEE Transactions on Wireless Communications, Jahrgang 14, Nr. 4, 07.04.2015, S. 2322-2335.Harmonic interpolation based on Radon projections along the sides of regular polygons
Harmonic interpolation based on Radon projections along the sides of regular polygons. / Georgieva, Irina; Hofreither, Clemens; Koutschan, Christoph et al.
in: Open Mathematics, Jahrgang 11, Nr. 4, 01.04.2013, S. 609-620.Lattice Green's functions of the higher-dimensional face-centered cubic lattices
Lattice Green's functions of the higher-dimensional face-centered cubic lattices. / Koutschan, Christoph.
in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 46, Nr. 12, 29.03.2013, S. 125005.
Using generating functions to prove additivity of gene-neighborhood based phylogenetics
Using generating functions to prove additivity of gene-neighborhood based phylogenetics. / Katriel, Guy; Mahanaymi, Udi; Koutschan, Christoph et al.
Bioinformatics Research and Applications. Singapore: Springer Nature, 2023. S. 120-135 (Lecture Notes in Bioinformatics).A unified approach to unimodality of Gaussian polynomials
A unified approach to unimodality of Gaussian polynomials. / Koutschan, Christoph; Uncu, Ali; Wong, Elaine.
Proceedings of the International Symposium on Symbolic and Algebraic Computation. New York: ACM, 2023. S. 434-442.Reduction-Based Creative Telescoping for Algebraic Functions
Reduction-Based Creative Telescoping for Algebraic Functions. / Chen, Shaoshi; Kauers, Manuel; Koutschan, Christoph.
Proceedings of the International Symposium on Symbolic and Algebraic Computation. New York: ACM, 2016. S. 175-182.Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models
Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models. / Koutschan, Christoph; Ranetbauer, Helene; Regensburger, Georg et al.
17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE Computer Society, Conference Publishing Services (CPS), 2015. S. 27-33.
On potentials integrated by the Nikiforov-Uvarov method
On potentials integrated by the Nikiforov-Uvarov method. / Ellis, Lina; Ellis, Ikumi; Koutschan, Christoph et al.
Applications and q-extensions of hypergeometric functions. Hrsg. / Howard S. Cohl; Roberto S. Costas-Santos; Robert S. Maier. Band 819 American Mathematical Society, 2025. S. 43-95 (Contemporary Mathematics).Holonomic anti-differentiation and Feynman amplitudes
Holonomic anti-differentiation and Feynman amplitudes. / Koutschan, Christoph; Blümlein, Johannes (Herausgeber:in); Schneider, Carsten (Herausgeber:in).
Anti-Differentiation and the Calculation of Feynman Amplitudes. 2021. S. 261-277 (Texts & Monographs in Symbolic Computation).Exact Lower Bounds for Monochromatic Schur Triples and Generalizations
Exact Lower Bounds for Monochromatic Schur Triples and Generalizations. / Koutschan, Christoph; Wong, Elaine; Pillwein, Veronika (Herausgeber:in) et al.
Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra. 2020. S. 223-248 (Texts & Monographs in Symbolic Computation).Effective algebraic analysis approach to linear systems over Ore algebras
Effective algebraic analysis approach to linear systems over Ore algebras. / Cluzeau, Thomas; Koutschan, Christoph; Quadrat, Alban et al.
Algebraic and Symbolic Computation Methods in Dynamical Systems. Springer, 2020. S. 3-52 (Advances in Delays and Dynamics).On the singular value decomposition of n-fold integration operators
On the singular value decomposition of n-fold integration operators. / Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd et al.
Inverse Problems and Related Topics. Singapore: Springer, 2020. S. 237-256 (Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 310)).Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II
Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II. / Koutschan, Christoph; Paule, Peter; Sergei, K et al.
Algebraic and Algorithmic Aspects of Differential and Integral Operators. Springer Berlin Heidelberg, 2014. S. 135-145 (Lecture Notes in Computer Science (vol. 8372)).Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order
Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order. / Gerhold, Stefan; Kauers, Manuel; Koutschan, Christoph et al.
Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Vienna: Springer, 2013. S. 75-96 (Texts & Monographs in Symbolic Computation).Creative Telescoping for Holonomic Functions
Creative Telescoping for Holonomic Functions. / Koutschan, Christoph; Schneider, Carsten (Herausgeber:in); Blümlein, Johannes (Herausgeber:in).
Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Vienna: Springer, 2013. S. 171-194 (Texts & Monographs in Symbolic Computation).
Special issue OPSFA15: orthogonal polynomials, special functions and applications
Special issue OPSFA15: orthogonal polynomials, special functions and applications. / Filipuk, Galina (Herausgeber:in); Koutschan, Christoph (Herausgeber:in); Marcellán, Francisco (Herausgeber:in) et al.
Taylor & Francis, 2021. (Integral Transforms and Special Functions).Special Issue on Applications of Computer Algebra (ACA 2017 Jerusalem)
Special Issue on Applications of Computer Algebra (ACA 2017 Jerusalem). / Beaudin, Michel (Herausgeber:in); Dana, Thierry (Herausgeber:in); Levin, Alexander (Herausgeber:in) et al.
Springer, 2019. (Mathematics in Computer Science).
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations. / Koutschan, Christoph; Krattenthaler, Christian; Schlosser, Michael.
Linz, 2024. 36 S.
The number of realizations of all Laman graphs with at most 12 vertices
The number of realizations of all Laman graphs with at most 12 vertices
Capco, J., Gallet, M., Grasegger, G., Koutschan, C., Lubbes, N. & Schicho, J., Austrian Academy of Sciences, 2018
DOI: 10.5281/zenodo.1245517, https://doi.org/10.5281/zenodo.1245517