Published Articles & Preprints
2024

(Article, preprint, arxiv) A New Algorithm for Whitney Stratification of Varieties, joint with Martin Helmer.

(Book Chapter, to appear in: The Computer Algebra System OSCAR  Algorithms and Examples, book link) Gröbner Bases for Polynomial Ideals and Applications, joint with Christian Eder and Mohab Safey El Din.

(Article, to appear in: ISSAC ‘24 proceedings, arxiv) Computing Generic Fibers of Polynomial Ideals Using FGLM and Hensel Lifting, joint with Jérémy Berthomieu.
2023
 (Article, ISSAC ‘23 proceedings, arxiv) A Direttissimo Algorithm for Equidimensional Decomposition, joint with Christian Eder, Pierre Lairez and Mohab Safey El Din.
2022
 (Article, Journal of Symbolic Computation, arxiv) A Signaturebased Algorithm for Computing the Nondegenerate Locus of a Polynomial System, joint with Christian Eder, Pierre Lairez and Mohab Safey El Din.
Articles In Preparation
 On an algorithm for decomposing algebraic sets using signature Gröbner bases.
Other Scientific Works
2020
 (Diploma thesis) In my diploma thesis I used PicardLefschetz theory to compute the periods of a projective hypersurface. It was supervised by Emre Sertöz during his stay at the MPIMiS in Leipzig and Bernd Sturmfels.
Software
 (GitHub) AlgebraicSolving.jl, a Julia package for polynomial system solving. I contributed an improved version of the F5 algorithm mentioned below.
 (Website) Oscar, a computer algebra system written in Julia.
 (GitHub) Julia implementation of the F5 algorithm and the Algorithm presented in the Nondegenerate Locus paper.