Prof. Dr. Joachim Apel
wiss. Mitarbeiter am Rechenzentrum

1980–84 Studium Mathematik/Physik an der Universität Leipzig

1984–88 Forschungsstudium an der Universität Leipzig; Promotion in Mathematik

1988–93 wissenschaftlicher Mitarbeiter an der Universität Leipzig an den Sektionen/Fakultäten Mathematik bzw. Informatik

1993–98 wissenschaftlicher Assistent am Institut für Informatik der Universität Leipzig; Habilitation auf dem Gebiet der Informatik

1998–02 wissenschaftlicher Oberassistent am Mathematischen Institut der Universität Leipzig

2000-01 Gastwissenschaftler an Mathematical Science Research Institute Berkeley und University of California at Berkeley

Monographien und Buchbeiträge / Monographs and book contributions

1. Gröbnerbasen in nichtkommutativen Algebren und ihre Anwendung. PhD Thesis, University of Leipzig, 1988.
2. An Extension of Buchberger's Algorithm and Calculations in Enveloping Fields of Lie Algebras. In: Computational Aspects of Commutative Algebra, Ed. L. Robbiano, Academic Press, London, 1989. (with W. Laßner)
3. Das Computeralgebrasystem FELIX. In: Computeralgebra in Deutschland, Herausgegeben von der FG Computeralgebra der GI, DMV, GAMM, 1993. (with U. Klaus)
4. Zu Berechenbarkeitsfragen der Idealtheorie. Habilitation Thesis, University of Leipzig, 1998.
5. Co-author of several parts of the Computer Algebra Handbook, Ed. Grabmeier, Kaltofen, Weispfenning. Springer, 2002.

Zeitschriftenartikel / journal publications

1. Classification of three-dimensional covariant differential calculi on Podles' quantum spheres and on related spaces. Letters in Mathematical Physics 32, 25-36, 1994. (with K. Schmüdgen)
2. The Theory of Involutive Divisions and an Application to Hilbert Function Computations. Journal of Symbolic Computation 25, 683-704, 1998.
3. Computational ideal theory in finitely generated extension rings. Theoretical Computer Science 244/1-2, 1-33, 2000.
4. On a Conjecture of R. P. Stanley; Part I - Monomial Ideals & Part II - Quotients Modulo Monomial Ideals. Journal of Algebraic Combinatorics 17, 39-74, 2003.
5. Computational model of mesoscopic structure of concrete for simulation of fracture processes. Computers & Structures 85(17), 1293-1303, 2007. (with J.P.B. Leite and V. Slowik)

1. An Algorithm for Calculations in Enveloping Fields of Lie Algebras. International Conference on Computational Algebra and its Application in Theoretical Physics, Dubna, 1985. (with W. Laßner)
2. A relationship between Gröbner bases of ideals and vector modules of G-algebras. International Conference on Algebra Dedicated to the Memory of A. I. Malcev, Novosibirsk, 1989.
3. FELIX - An Assistant for Algebraists. International Symposium on Symbolic and Algebraic Computation (ISSAC), Bonn, 1991. (with U. Klaus)
4. The Computation of Gröbner Bases Using an Alternative Algorithm. Workshop on Symbolic Rewriting Techniques, Ascona, 1995.
5. Division of entire functions by polynomial ideals. International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes (AAECC), Paris, 1995.