Preprints
Publications
- M. Schulze, U. Walther: Irregularity of hypergeometric systems via slopes along coordinate subspaces. Duke Math. J. 142,3 (2008), 465-509.
- M. Schulze: Logarithmic comparison theorem versus Gauss-Manin system for isolated singularities. arXiv:0706.2512 (2007), to appear in Adv. Geom.
- M. Granger, D. Mond, A. Nieto-Reyes, M. Schulze: Linear free divisors and the global logarithmic comparison theorem. arXiv:math/0607045 (2008), to appear in Ann. Inst. Fourier.
- M. Schulze, U. Walther: Hypergeometric D-modules and twisted Gauss-Manin systems. arXiv:0712.2021 (2007), to appear in J. Algebra.
- M. Schulze, U. Walther: Cohen-Macaulayness and computation of Newton graded toric rings. arXiv:0706.3545 (2007), to appear in J. Pure Appl. Alg.
- M. Schulze: Maximal multihomogeneity of algebraic hypersurface singularities. Manuscr. Math. 123,4 (2007), 373-379.
- M. Schulze: A criterion for the logarithmic differential operators to be generated by vector fields. Proc. Amer. Math. Soc. 135 (2007), 3631-3640.
- M. Granger, M. Schulze: Quasihomogeneity of isolated singularites and logarithmic cohomology. Manuscr. Math. 212,4 (2006), 411-416.
- M. Granger, M. Schulze: On the formal structure of logarithmic vector fields. Comp. Math. 142 (2006), 765-778.
- M. Schulze: Good bases for tame polynomials. J. Symb. Comp. 39,1 (2005), 103-126.
- M. Schulze: A normal form algorithm for the Brieskorn lattice. J. Symb. Comp. 38,4 (2004), 1207-1225.
- M. Schulze: Monodromy of Hypersurface Singularities. Acta Appl. Math. 75 (2003), 3-13.
- M. Schulze: The differential structure of the Brieskorn lattice. In: A.M. Cohen et al.: Mathematical Software - ICMS 2002. World Scientific (2002).
- M. Schulze: Algorithms for the Gauss-Manin connection. J. Symb. Comp. 23,5 (2001), 549-564.
- G.-M. Greuel, C. Lossen, M. Schulze: Three Algorithms in Algebraic Geometry, Coding Theory and Singularity Theory. In: C. Ciliberto et al.: Applications of Algebraic Geometry to Coding Theory, Physics and Computation. Kluwer (2001), 161-194.
- M. Schulze, J.H.M. Steenbrink: Computing Hodge-theoretic invariants of singularities. In: D. Siersma et al.: New Developments in Singularity Theory. NATO Science Series, Kluwer (2001), 235-255.
- Jürg Nievergelt, Fabian Maeser, Bernward Mann, Karsten Roeseler, Mathias Schulze, Christoph Wirth: Crash! Mathematik und kombinatorisches Chaos prallen aufeinander. Inf. Spek. 22 (1999), 45-48.
Software
Talks
- 07/22/2008, University of Warwick, Seminar D. Mond: On the symmetry of b-functions of linear free divisors.
- 06/05/2008, Angers, Seminar Singularités: Irregularity of hypergeometric systems.
- 01/16/2007, Oklahoma State University, Geometry Seminar: D-modules and Euler-Koszul complexes.
- 10/27/2006, Minneapolis, Conference Software for Algebraic Geometry: Gauss-Manin systems for isolated singularities in Singular.
- 09/08/2006, Oklahoma State University, Colloquium: Formal multihomogeneity of hypersurfaces.
- 02/06/2006, Oklahoma State University, Colloquium: Slopes of hypergeometric D-modules.
- 02/01/2006, Purdue University, Working Algebraic Geometry Seminar: Slopes of hypergeometric D-modules.
- 10/05/2005, Purdue University, Working Algebraic Geometry Seminar: Logarithmic comparison theorem and the formal structure of logarithmic vector fields.
- 08/24/2005, Tokyo, Conference Theoretical Effectivity and Practical Effectivity of Gröbner Bases: Computing the global Brieskorn lattice for tame polynomial functions.
- 04/05/2005, Gdańsk, Seminar:Logarithmic comparison theorem and the formal structure of logarithmic vector fields.
- 10/01/2004, Angers, Seminar Singularités: Sur les opérateurs différentiels logarithmiques relatifs à un diviseur.
- 04/09/2004, Angers, Seminar Singularités: Introduction to logarithmic properties of free divisors.
- 01/19/2004, Sevilla, Seminar Álgebra: Logarithmic comparison theorem and Euler homogeneity for free divisors.
- 05/16/2003, Kassel, Conference Computeralgebra Tagung: Algorithmen für Gauß-Manin-Systeme.
- 08/17/2003, Beijing, Conference ICMS 2002: The Differential Stucture of the Brieskorn Lattice.
- 07/17/2002, Kaiserslautern, Ph.D. defense: Algorithmic Gauss-Manin Connection.
- 02/21/2002, Mainz, Seminar D. v. Straten: Die Differentialstruktur des Brieskorn-Gitters.
- 09/04/2001, Oberwolfach, Conference Singularities: Algorithmic Gauss-Manin System.
- 06/26/2001, Moscow, Conference Monodromy in Geometry and Differential Equations: Algorithmic Gauss-Manin Connection.
- 07/14/1999, Bonn, Seminar E. Brieskorn: Berechnung der Monodromie isolierter Hyperflächensingularitäten.
Reviews
- MR2377895: A.G. Guimarães, A. Hefez: Bernstein-Sato polynomials and spectral numbers. Ann. Inst. Fourier Grenoble 57,6 (2007) 2031-2040.
- MR2320470: C.H. Conley, C. Martin: Annihilators of tensor density modules. J. Algebra 312,1 (2007), 495-526.
- MR2289081: C. Roucairol: The irregularity of the direct image of some D-modules. Publ. Res. Inst. Math. Sci. 42,4 (2006), 923-932.
- MR2287004: Y. Chen, J. Qiu: Gröbner-Shirshov bases for free product of algebras and beyond. Southeast Asian Bull. Math. 30,5 (2006), 811-826.
- MR2270654: A. Elashvili, G. Khimshiashvili: Lie algebras of simple hypersurface singularities. J. Lie theory 16,4 (2006), 621-649.
- MR2267574: N. Budur et al.: Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals. Comm. Algebra 34,11 (2006), 4103-4117.
- MR2266882: A.A. Glutsyuk: An explicit formula for period determinant. Ann. Inst. Fourier Grenoble 56,4 (2006), 887-917.
- MR2255178: A. Dimca et al.: Multiplier Ideals, V-filtrations and transversal sections. Math. Ann. 336,4 (2006), 901-924.
- MR2226448: R. Bahloul: Polynôme de Bernstein-Sato générique local. J. Math. Soc. Japan 58,2 (2006), 595-616.
- MR2231202: N. Budur et al.: Bernstein-Sato polynomials of arbitrary varieties. Compos. Math. 142,3 (2006), 779-797.