Publications

Papers

Constructive D-module Theory with Singular,
with Michael Brickenstein, Viktor Levandovskyy, Jorge Martín-Morales and Hans Schönemann,
Mathematics in Computer Science, 4(2–3):359–383, 2010.

Effective Methods for the Computation of Bernstein-Sato Polynomials for Hypersurfaces and Affine Varieties,
with Viktor Levandovskyy and Jorge Martín-Morales,
preprint, 2010.

Principal Intersection and Bernstein-Sato Polynomial of an Affine Variety,
with Viktor Levandovskyy and Jorge Martín-Morales,
in: Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC'09), ACM Press, 231–238, 2009.


Theses

Dissertation

Noncommutative Computer Algebra with Applications in Algebraic Analysis, 2014.

Diploma Thesis

Algorithms for the computation of Sato's b-functions in algebraic D-module theory, 2010.


Software

Singular libraries

ncpreim.lib: Non-commutative elimination and preimage computations, 2012.

dmodloc.lib: Localization of algebraic D-modules and applications, 2012.

dmodvar.lib: Algebraic D-modules for varieties,
with Viktor Levandovskyy and Jorge Martín-Morales, 2010.

dmodapp.lib: Applications of algebraic D-modules,
with Viktor Levandovskyy, 2009.

bfun.lib: Algorithms for b-functions and Bernstein-Sato polynomials,
with Viktor Levandovskyy, 2009.