Publications
In each category, the most recent items are listed first.
Preprints
- Relative Gröbner bases of modules and applications in persistence theory (with Fritz Grimpen and Anastasios Stefanou, 2026) PDF
Journal Articles
- Fast Algorithms for Monomial Janet(-like) Bases (with Amir Hashemi, Rodrigo Iglesias, Eduardo Sáenz-de-Cabezón, and Werner Seiler) Journal of Symbolic Computation 139, 102611, 2027. DOI, Share link
- The Gröbner basis for powers of a general linear form in a monomial complete intersection (with Filip Jonsson Kling, Samuel Lundqvist, and Fatemeh Mohammadi) Transactions of the American Mathematical Society, Series B, 2026. DOI
- Gröbner bases, resolutions, and the Lefschetz properties for powers of a general linear form in the squarefree algebra (with Filip Jonsson Kling, Samuel Lundqvist, Fatemeh Mohammadi, and Eduardo Sáenz-de-Cabezón) Journal of Algebra 700, 146-184, 2026. DOI
- Minimal Staggered Linear Bases and Their Applications (with Amir Hashemi, Nicolas Jagersma, and Werner Seiler) Mathematics in Computer Science 20, article no. 1, 2026. DOI
- Cohen-Macaulay, Gorenstein and complete intersection conditions by marked bases (with Cristina Bertone, Francesca Cioffi, and Werner Seiler) Journal of Algebra 692, 550-581, 2026. DOI
- On the minimal free resolution of the Rees algebra of some monomial ideals (with Rodrigo Iglesias, Eduardo Sáenz-de-Cabezón, and Werner Seiler) Applicable Algebra in Engineering, Communication and Computing 37, 1003--1035, 2026. DOI
- Computing Finite and Infinite Free Resolutions with Pommaret-Like Bases (with Amir Hashemi and Werner Seiler) Journal of Symbolic Computation 131, 102454, 2025 DOI
- Open Covers and Lex Points of Hilbert Schemes over Quotient Rings via Relative Marked Bases (with Cristina Bertone, Francesca Cioffi, and Werner Seiler) Experimental Mathematics 34, 38-52, 2025. DOI
- Recursive Structures in Involutive Bases Theory (with Amir Hashemi and Werner Seiler) Journal of Symbolic Computation 118, 32-68, 2023. DOI
- Complementary Decompositions of Monomial Ideals and Involutive Bases (with Amir Hashemi and Werner Seiler) Applicable Algebra in Engineering, Communication and Computing 33, 791-821, 2022. DOI
- Relative Gröbner and Involutive Bases For Ideals In Quotient Rings (with Amir Hashemi and Werner Seiler) Mathematics in Computer Science 15, 453-482, 2021. DOI
Theses
- PhD Thesis Generalized Involutive Bases and Their Induced Free Resolutions, Universität Kassel, May 2022 Supervisors: Werner Seiler (Kassel), Amir Hashemi (Isfahan, Iran) DOI
- Master's Thesis Konstruktive Theorie Inverser Systeme, Universität Kassel, 2016 (in German) Supervisor: Werner Seiler