Publications

Referierte Arbeiten

8.

Bayer, T. STRATIFY - A SINGULAR Package for Computing Stratifications of Compact Group Actions .
to appear in: Proceedings of CASC 2004

7.

Bayer, T. Optimal Descriptions of Orbit Spaces and Strata of finite Groups.
in: Proceedings of ISSAC 2004,

6.

Bayer, T. Computing the Stratification of Actions of Compact Lie Groups.
in: Computer Algebra in Scientific Computing, Proceedings of CASC 03, Editors: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (2002)

5.

Bayer, T.An Algorithm for Computing Invariants of Linear Actions of Algebraic Groups up to a given Degree
J. Symb. Comp. 35(4) 2003, pp. 441 - 449.

4.

Bayer, T. Moduli spaces of low Dimension for semi Brieskorn-Pham Singularities w.r.t. right Equivalence.
in: Computer Algebra in Scientific Computing, Proceedings of CASC 02, Editors: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (2002)

3.

Bayer, T. Algorithms for the computation of moduli spaces for semiquasihomogeneous singularities, Revista Mathematica Complutense 16, No. 1, 2003, pp 103 - 129

2.

Bayer, T. On the Intersection of Invariant Rings, Beiträge zur Algebra und Geometrie, Vol 43, No. 2, 551 - 555 (2002)

1.

Bayer, T. Computing Stratifications of Quotients of Finite Groups and an Application to Shape Memory Alloys, p. 13 - 24
in: Computer Algebra in Scientific Computing, Proceedings of CASC 01, Editors: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. Springer Verlag 2001.


Technische Berichte

*

Bayer, T. Computing the Intersection of Invariant Rings
RISC report 98-07 (1998). Research Institute for Symbolic Computation, J. Kepler Universit\"at, Linz (1998).

*

Bayer, T. An Algorithm for Computing Invariants of Linear Actions of Algebraic Groups up to a given Degree
TUM-I0201, Technische Universität München 2002.


Diploma Thesis 2000 (Mathematik)

In my diploma thesis Computation of moduli spaces for semiquasihomogenous singularities and an implemenation in SINGULAR (.dvi file) written at the Arbeitsgruppe Algebraische Geometrie, Computeralgebra und Singularitätentheorie,Fachbereich Mathematik, University of Kaiserslautern, 2000 (supervised by Prof. G.-M. Greuel), I have implemented a SINGULAR library for the computation of such moduli spaces. For a description I refer to my thesis.

Bayer, T. Computation of modulis spaces for semiquasihomogenous singularities and an implementation in SINGULAR. Diploma thesis, Fachbereich Mathematik, Universit\"at Kaiserslautern (2000).

Diploma Thesis 1998 (Informatik)

In my diploma thesis Algorithmic Aspects of Invariant Theory, (dvi file)written at the research institute for symbolic computation (RISC-Linz), Johannes Kepler University, Linz (supervised by Dr. Peter Paule), I have developed an algorithm for the computation of the intersection of invariant rings of finite reductive groups. In addition, I have described the state of the art algorithms in invariant theory of finite groups.

Bayer, T. Algorithmic Aspects of  Invariant Theory. Diploma thesis,  RISC report 98-06 (1998). Research Institute for Symbolic Computation, J. Kepler Universit\"at, Linz (1998).

Algorithmic Combinatorics (not yet)

In a programming project by Dr. Peter Paule (RISC-Linz, combinatorics), I have implemented a Mathematica package for Polya theory and permutation groups.