Jürgen Gerhard
Welcome to my homepage!
MCA3 is out! (see below)
Current position: Director of Research at
Maplesoft, Canada
Former member of the
Research Group Algorithmic Mathematics and of the
MuPAD Research Group at
University of Paderborn, Germany
Member of the
ISSAC 2007
organizing committee
Contact:
Jürgen likes: Mercedes Cappuccino,
Monte Cervino,
ballroom dancing,
music,
movies.
Research interests:
- Computational problems in symbolic summation and integration
- Polynomial factorization over finite fields and over Q
- Cryptography
- Computational aspects of finite fields
- Computing Laurent and asymptotic series expansions
- Computational algebraic geometry
- Symbolic methods in dynamical modeling, simulation, and control
Publications:
- J. von zur Gathen and J. Gerhard,
Modern Computer Algebra,
Cambridge University Press, 3rd edition, 2013, xiv+796 pages. (First
edition 1999, 2nd edition 2003.)
- E. Shmoylova, J. Gerhard, E. Postma, and A. Roche, Simplification
of Differential Algebraic Equations by the Projection
Method, Proc. EOOLT
2013, Nottingham, UK, Linköping University Electronic
Press, 2013, pp. 87-96.
- H. Ito, A. Ohata, K. Butts, J. Gerhard, M. Abbaszadeh, D. Linder,
E. Postma, E. Shmoylova, Equation-Based Model Data Structure for
High Level Physical Modelling, Model Simplification and
Modelica-Export, Proc. EOOLT 2011, Zürich, Switzerland,
Linköping University Electronic Press, 2011, pp. 27-34.
- S. Liang, J. Gerhard, D. J. Jeffrey, and G. Moroz, A Package for
Solving Parametric Polynomial Systems, ACM Communications in
Computer Algebra 43(3) (2009), pp. 61-72.
- J. Bakus, L. Bernardin, J. Gerhard, K, Kowalska, M. Léger,
A. Wittkopf, High-Level Physical Modeling Description and Symbolic
Computing, IFAC
Proceedings of the 17th World Congress, Seoul, Korea,
2008, pp. 1054-1055.
- J. Gerhard, Modular algorithms in symbolic summation and symbolic
integration (PhD thesis), LNCS 3218, Springer Verlag, 2004.
- M. P. Barnett, J. F. Capitani, J. von zur Gathen, and J. Gerhard,
Symbolic calculation in chemistry: selected examples,
International Journal of Quantum Chemistry
100(2) (2004), pp. 80-104.
- J. Gerhard, M. Giesbrecht, A. Storjohann, and E. Zima,
Shiftless decomposition and polynomial time rational
summation, Proc. ISSAC 2003, Philadelphia PA, ACM press,
2003, pp. 119-126.
- J. Gerhard and A. Sorgatz, MuPAD, Section 4.1.8 in
Computer Algebra Handbook - Foundations, Applications, Systems,
ed. J. Grabmeier, E. Kaltofen, and V. Weispfenning,
Springer Verlag, 2003, pp. 321-332.
- J. von zur Gathen and J. Gerhard,
Polynomial factorization over F2, Mathematics of
Computation 71(240) (2002), pp. 1677-1698.
- O. Bonorden, J. von zur Gathen, J. Gerhard,
O. Müller, and M. Nöcker,
Factoring a binary polynomial of degree over one million, ACM
SIGSAM Bulletin 35(1) (2001), pp. 16-18.
- J. Gerhard,
Fast Modular Algorithms for Squarefree Factorization and Hermite Integration,
AAECC 11(3) (2001), pp. 203-226.
Preliminary version:
Technical Report tr-ri-99-206, University of Paderborn, Germany, 1999,
22 pages.
Abstract
Postscript
- J. Gerhard, W. Oevel, F. Postel, and S. Wehmeier,
MuPAD Tutorial - English Edition, Springer Verlag, 2000.
- J. Gerhard,
Modular algorithms for polynomial basis conversion and greatest factorial factorization.
Proceedings of the Seventh Rhine Workshop on Computer Algebra (RWCA'00),
Bregenz, 2000, pp. 125--141.
Abstract
Postscript
- J. Gerhard,
High degree solutions of low degree equations,
Proc. ISSAC 1998, Rostock, Germany, ACM press, 1998, pp. 284-289.
Abstract
Postscript
- J. von zur Gathen and J. Gerhard,
Fast algorithms for Taylor shifts and certain difference equations,
Proc. ISSAC 1997, Maui HI, ACM press, 1997, pp. 40-47.
Postscript
- J. von zur Gathen and J. Gerhard,
Arithmetic and Factorization of Polynomials over F2,
Proc. ISSAC 1996, Zürich, Switzerland, ACM press, 1996, pp. 1-9.
Postscript
- J. von zur Gathen and J. Gerhard,
Arithmetic and Factorization of Polynomials over F2,
Technical Report tr-rsfb-96-018, University of Paderborn, Germany, 1996,
43 pages.
Postscript
Other available documents:
- J. Gerhard, Faktorisierung von Polynomen über GF(q),
Diplomarbeit, University of Erlangen-Nürnberg, Germany, 1994,
87 pages (in German).
Postscript
- J. Gerhard, Elliptische Kurven - Theorie und Anwendungen,
Studienarbeit, University of Erlangen-Nürnberg, Germany, 1993,
101 pages (in German).
Postscript (ZIP file) (only for printing, does not show well in ghostview)
Author: Jürgen Gerhard, last change: 15 May 2013