Prof. Franz Winkler

Wintersemester 2001/2002

Einführung in die Computeralgebra (326.201) (mit Übungen)

Tue 16.15-17.45, Place: HS 12
Tue 15.30-16.15 (Übungen), Place: HS 12
first lecture: October 9

Short description: A theoretical introduction into the area of computer algebra is presented. Some of the main topics will be algorithms for basic algebraic domains (like integers, polynomials, finite fields, algebraic extension fields), computation by homomorphic images using the Chinese remainder algorithm, greatest common divisors of polynomials, factorization of univariate polynomials over finite fields, and the basic theory of Gröbner bases for polynomial ideals. The course will follow the appropriate chapters in

F. Winkler: Polynomial Algorithms in Computer Algebra,
Springer-Verlag Wien New York, 1996 (ISBN 3-211-82759-5)

Participants are expected to be acquainted with the basic notions in algebra and algorithm theory.

In the exercise session (Übungen) the students will have to solve both theoretical problems and practical problems with the help of some computer algebra system.

Projektseminar: Computeralgebra (326.805)

Thu 14.30-16.00, Seminarraum Hagenberg
first lecture: October 8 (exception)

Short description: We discuss new results (by our group and also by others) in computer algebra, symbolic computation, computer aided geometric reasoning, and related topics. Participants give lectures in the seminar, and sometimes guest speakers are invited to present their work.

Diplomanden- und Dissertantenseminar I (326.703)

Time and place according to agreement

Short description: I discuss ongoing work with my doctoral and diploma students.

Vortragsreihe Symbolic Computation (326.050)

Time: Mon 13.30-14.30 (see announcements)
Place: Seminarraum Hagenberg

Short description: Invited guest speakers present their research work in symbolic computation.

Literaturseminar Computer-Algebra I (326.753)

Time and place according to agreement

Short description: We read and discuss recent publications in computer algebra.

Programmierprojekt Computer-Algebra I (326.761)

Time and place according to agreement

Short description: Implementation of algorithms in computer algebra and constructive algebraic geometry.