Mathias Schulze

Mathias Schulze is a Professor in the Department of Mathematics at the University of Kaiserslautern-Landau (RPTU), Germany, where he leads the research group AG Algebra, Geometry and Computer Algebra (AGAG). His office is located in Building 48, Room 434, Gottlieb-Daimler-Straße, 67663 Kaiserslautern.

Research Interests
His research spans several core areas of algebraic geometry and commutative algebra, with particular emphasis on:

• Singularities of curves and hypersurfaces
• Hyperplane arrangements, configurations and matroids
• Differential forms, derivations and free divisors
• D-modules and hypergeometric systems
• Category theory and triangulated categories
• Gröbner basis theory and computational algebra

Publications & Scholarly Output
Schulze has authored or co-authored more than 50 refereed journal articles and several preprints since 2014. His most recent work (2024-2025) explores categorical matrix factorizations, triangulated functors and stable monomorphism categories, reflecting a modern categorical approach to classical singularity theory.

Teaching
He maintains an extensive teaching portfolio ranging from introductory algebra and linear algebra to specialized graduate courses such as

• Plane Algebraic Curves
• Depth and Cohen–Macaulay Rings
• Seminars on Topics in Algebra and Geometry
• Computer Algebra

His courses are scheduled through Summer 2025, indicating active instructional duties.

Software & Tools
Beyond publications, Schulze has released several specialized software libraries for the computer-algebra system Singular, including

• gmspoly.lib
• gmssing.lib
• linalg.lib (with Ivor Saynisch)
• mondromy.lib

These libraries support computations with Gauss–Manin systems, singularities and linear algebra.