Prof. Dr. Wolfram Decker
Anschrift
Gottlieb-Daimler-Straße
Gebäude 48, Raum 435
67663 Kaiserslautern
Forschungsinteressen
Ich interessiere mich für alle Aspekte der Computeralgebra,
den Entwurf, die Implementierung und die Anwendung algebraischer
Algorithmen, wobei die Algebraische Geometrie bei den Anwendungen
im Vordergrund steht.
Mein besonderes Augenmerk gilt der Entwicklung großer Computeralgebrasysteme.
Publikationen
In Vorbereitung / In Preparation
- Modular Techniques for Gröbner Bases over Rational Function Fields
Dereje Kifle Boku, Wolfram Decker, Claus Fieker, Andreas Steenpass
Artikel / Articles
- Commutative algebra and algebraic geometry
Janko Böhm, Wolfram Decker, Frank-Olaf Schreyer
Chapter in: The Computer Algebra System OSCAR: Algorithms and Examples, 21-79 (2025) - Invariant Theory
Wolfram Decker, Lakshmi Ramesh, Johannes Schmitt
Chapter in: The Computer Algebra System OSCAR: Algorithms and Examples, 297-331 (2025) - Module Intersection for the Integration-by-Parts Reduction of Multi-Loop Feynman Integrals
Dominik Bendle, Janko Boehm, Wolfram Decker, Alessandro Georgoudis, Franz-Josef Pfreundt, Mirko Rahn, Yang Zhang
To appear in the proceedings of the conference "MathemAmplitude 2019" in Padova, Italy (Proceedings of Science) https://arxiv.org/abs/2010.06895 - Computing integral bases via localization and Hensel lifting
Janko Böhm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister
To appear in JSC Special Issue for MEGA 2019 https://doi.org/10.1016/j.jsc.2020.07.007 - Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
Dominik Bendle, Janko Boehm, Wolfram Decker, Alessandro Georgoudis, Franz-Josef Pfreundt, Mirko Rahn, Pascal Wasser, Yang Zhang
J. High Energ. Phys. 2020, 79 (2020) https://doi.org/10.1007/JHEP02(2020)079 - Towards Massively Parallel Computations in Algebraic Geometry
Janko Böhm, Wolfram Decker, Anne Frühbis-Krüger, Franz-Josef Pfreundt, Mirko Rahn, Lukas Ristau
Found. Comput. Math. (2020) https://doi.org/10.1007/s10208-020-09464-x - Modular Techniques For Noncommutative Gröbner Bases
Wolfram Decker, Christian Eder, Viktor Levandovskyy, Sharwan Tiwar
Math.Comput.Sci. (2019) https://doi.org/10.1007/s11786-019-00412-9 - Local to global algorithms for the Gorenstein adjoint ideal of a curve
Janko Böhm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister
Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory, 51-96 (2017) - Bad primes in computational algebraic geometry
Janko Böhm, Wolfram Decker, Claus Fieker, Santiago Laplagne, Gerhard Pfister
International Congress on Mathematical Software, 93-101 (2016) - Current challenges in developing open source computer algebra systems
Janko Böhm, Wolfram Decker, Simon Keicher, Yue Ren
International Conference on Mathematical Aspects of Computer and Information, 3-24 (2015) - Gröbner bases over algebraic number fields
Dereje Kifle Boku, Wolfram Decker, Claus Fieker, Andreas Steenpass
Proceedings of the 2015 International Workshop on Parallel Symbolic Computation, 16-24 (2015) - The use of bad primes in rational reconstruction
Janko Bölhm, Wolfram Decker, Claus Fieker, Gerhard Pfister
Mathematics of Computation 84, 3013-3027 (2015) - Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety
Daniel J. Bates, Wolfram Decker, Jonathon D. Hauenstein, John C. Peterson, Gerhard Pfister, Frank-Olaf Schreyer
Applied Mathematics and Computation 231, 619-633 (2014) - Local analysis of Grauert--Remmert-type normalization algorithms
Janko Böhm, Wolfram Decker, Mathias Schulze
International Journal of Algebra and Computation 24, 69-94 (2014) - Parallel algorithms for normalization
Janko Böhm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister, Andreas Steenpass, Stefan Steidel
Journal of Symbolic Computation 51, 99-114 (2013) - Sheaf algorithms using the exterior algebra
Wolfram Decker, David Eisenbud
Computations in algebraic geometry with Macaulay 2, 215-249 (2002) - Some introductory remarks on computer algebra
Wolfram Decker
European Congress of Mathematics, 121-142 (2001) - Computational algebraic geometry today
Wolfram Decker, Frank-Olaf Schreyer
Applications of algebraic geometry to coding theory, physics and computation, 65-119 (2001) - Non-general type surfaces in P4: Some remarks on bounds and constructions
Wolfram Decker, Frank-Olaf Schreyer
Journal of Symbolic Computation 29, 545-582 (2000) - The normalization: a new algorithm, implementation and comparisons
Wolfram Decker, Theo de Jong, Gert-Martin Greuel, Gerhard Pfister
Computational Methods for Representations of Groups and Algrebras, 177-185 (1999) - Primary decomposition: algorithms and comparisons
Wolfram Decker, Gert-Martin Greuel, Gerhard Pfister
Algorithmic algebra and number theory, 187-220 (1999) - An elliptic conic bundle in Ρ4 arising from a stable rank-3 vector bundle
Hitachi Abo, Wolfram Decker, Nobuo Sasakura
Mathematische Zeitschrift 229, 725-741 (1998) - Generating a noetherian normalization of the invariant ring of a finite group
Wolfram Decker, Agnes E. Heydtmann, Frank-Olaf Schreyer
Journal of Symbolic Computation 25, 727-731 (1998) - Gröbner bases and invariant theory
Wolfram Decker, Theo de Jong
London Mathematical Society Lecture Note Series, 61-89 (1998) - Syzygies of Abelian and Bielliptic Surfaces in P4
Alf Aure, Wolfram Decker, Klaus Hulek, Sorin Popescu, Kristian Ranestad
International Journal of Mathematics 8, 849-919 (1997) - On surfaces in P4 and 3-folds in P5
Wolfram Decker, Sorin Popescu
Vector Bundles in Algebraic Geometry, 69-100 (1993) - The Geometry of Bielliptic Surfaces in P4
Alf Aure, Wolfram Decker, Klaus Hulek, Sorin Popescu, Kristian Ranestad
International Journal of Mathematics 4, 873-902 (1993) - Construction of surfaces in P4
Wolfram Decker, Lawrence Ein, Frank-Olaf Schreyer
Journal of Algebraic Geometry 2, 185-237 (1993) - Geometry of the Horrocks bundles on P6
Wolfram Decker, Nicolae Manolache, Frank-Olaf Schreyer
Complex Projective Geometra: Selected Papers 179, 128 (1992) - Rank 2 vector bundles on P4 with c1 odd and contact curves
Wolfram Decker, Mudumbai S. Narasimhan, Frank-Olaf Schreyer
Mathematische Zeitschrift 205, 123-136 (1990) - Half-canonical surfaces in P4
Wolfram Decker, Thomas Peternell, Joseph le Potier, Michael Schneider
In: Sommese A.J., Biancofiore A., Livorni E.L. (eds) Algebraic Geometry, 91-110. Lecture Notes in Mathematics 1417 (1990) - Monads and cohomology modules of rank 3 vector bundles
Wolfram Decker
Algebraic Geometry, 7-17 (1990) - Pullbacks of the Horrocks-Mumford bundles
Wolfram Decker, Frank-Olaf Schreyer
Journal f. d. reine und angewandte Mathematik 382, 215-220 (1987) - On the uniqueness of the Horrocks-Mumford-bundle
Wolfram Decker, Frank-Olaf Schreyer
Mathematische Annalen 273, 415-443 (1986) - Stable rank 2 vector bundles with Chern-classes c1=-1, c2=4
Wolfram Decker
Mathematische Annalen 275, 481-500 (1984) - Das Horrocks-Mumford-Bündle und das Modul-Schema für stabile 2-Vektorbündel über P4 mit c1=-1, c2=4
Wolfram Decker
Mathematische Zeitschrift 188, 101-110 (1984) - Über den Modul-Raum für stabile 2-Vektor-Bündel über P3 mit c1=-1, c2=4
Wolfram Decker
manuscripta mathematica 42, 211-219 (1983) - Topologien auf Schnittmoduln kohärenter komplex-und-reell-analytischer Garben
Wolfram Decker
manuscripta mathematica 38, 59-76 (1982)
Bücher / Books
- The Computer Algebra System OSCAR: Algorithms and Examples
Wolfram Decker, Christian Eder, Claus Fieker, Max Horn, Michael Joswig, eds.
Algorithms and Computation in Mathematics, Springer (2025) - A first course in computational algebraic geometry
Wolfram Decker, Gerhard Pfister
Cambridge University Press (2013) - Computing in Algebraic Geometry
Wolfram Decker, Christoph Lossen
Springer (2006)
Tagungsbände / Conference Proceedings
- Singularities and Computer Algebra
Wolfram Decker, Gerhard Pfister, Mathias Schulze
Springer (2017) - Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
Gebhard Böckle, Wolfram Decker, Gunter Malle
Springer (2017)
Lebenslauf
1953 geboren in Kusel
1971-1977 Studium der Mathematik an der Universität Kaiserslautern
1977 Diplom in Mathematik
1978-1984 Wissenschaftlicher Mitarbeiter an der Universität Kaiserslautern
1984 Promotion (Dr. rer. nat.) an der Universität Kaiserslautern
1984-1990 Hochschulassistent (C1) an der Universität Kaiserslautern
1989 Habilitation an der Universität Kaiserslautern
1990-2009 Professor (C3) an der Universität des Saarlandes
2000-2004 Vorsitz des Programm-Management-Kommittees von EAGER
seit 2009 Professor (W3) an der TU Kaiserslautern (heute: RPTU)
2010-2016 Koordinator des DFG-SPP 1489
2014-2020 Dekan des Fachbereichs Mathematik
2017-2024 Stellvertrender Sprecher des SFB-TRR 195
2019-2023 Seniorforschungsprofessor an der TU Kaiserslautern (heute: RPTU)
seit 2009 Leitendes Mitglied des SINGULAR-Entwicklungsteams
seit 2018 Leitendes Mitglied des OSCAR-Entwicklungsteams
- Sorin Popescu (1993): "On Smooth Surfaces of Degree ≥ in P4".
- Michael Messollen (1998): "Polynomfaktorisierung und charakteristische Mengen über endlichen Körpern".
- Hirotachi Abo (2002): "Rank Two and Rank Three Vector Bundles on the Projective Fourspace".
- Holger Cröni (2002): "Zur Berechnung von Kovarianten von Quantiken".
- I. Made Sulandra (2003): "Über Gröbnerwalkalgorithmen".
- Michael Kunte (2008): "Gorenstein Modules of Finite Length".
- Ngoc Anh Pham (2013): "Implementing Intersection Theory".
- Hiep Tuan Dang (2014): "Intersection theory with applications to the computation of Gromov-Witten invariants".
- Andreas Steenpaß (2014): "Algorithms in SINGULAR: Parallelization, Syzygies, and Singularities".
- Dereje Kifle Boku (2014): "Gröbner Bases over Extension Fields of Q".
- Sharwan Kumar Tiwari (2017): "Algorithms in Noncommutative Algebras: Gröbner Bases and Hilbert Series".
- Isabel Christine Stenger (2018): "A Homological Approach to Numerical Godeaux Surfaces".
- Lukas Ristau (2019): "Using Petri nets to parallelize algebraic algorithms".