Professor for Algorithmic Algebra and Discrete Mathematics
AG Algorithmische Algebra und Diskrete Mathematik
Institut für Mathematik
Fachbereich 10 Mathematik und Naturwissenschaften
Universität Kassel
Heinrich-Plett-Str. 40
34132 Kassel (Germany)

Raum: AVZ; Zimmer 3307
Sekretariat: Frau Syborg (Zimmer 3313, Tel.: +49-(0)561-804-4692)
Tel: +49-(0)561-804-4276
Fax: +49-(0)561-804-4646
Email: seiler@mathematik.uni-kassel.de

News (not very often updated):

• We have finished a new preprint On the Minimal Free Resolution of the Rees Algebra of Tri-Generated Bivariate Monomial Ideals (joint work with Rodrigo Iglesias, Matthias Orth and Eduardo Saenz-de-Cabezon).
• We are organising the twelfth workshop Differential Algebra and Related Topics (DART XII) in Kassel.
• Our article Open Covers and Lex Points of Hilbert Schemes over Quotient Rings via Relative Marked Bases (joint work with Cristina Bertone, Francesca Cioffi and Matthias Orth) has been accepted for publication in Experimental Mathematics.
• We have finished a new preprint Singular Initial Value Problems for some Quasi-Linear Second-Order Ordinary Differential Equations (joint work with Matthias Seiß).
• I will be a plenary speaker at the Symposium on Sparsity and Singular Structures 2024 in Aachen (February 26-29, 2024).
• Our article On the Numerical Integration of Singular Initial and Boundary Value Problems for Generalised Lane-Emden and Thomas-Fermi Equations (joint work with Matthias Seiß) has been published by Applied Mathematics and Computation.
• We have finished a new preprint Machine Learning Parameter Systems, Noether Normalisations and Quasi-Stable Positions (joint work with Amir Hashemi and Mahshid Mirhashemi).
• We have finished a new preprint Computing Finite and Infinite Free Resolutions with Pommaret-Like Bases (joint work with Amir Hashemi and Matthias Orth).
• Our article A Single Exponential Time Algorithm for Homogeneous Regular Sequence Tests (joint work with Amir Hashemi, Benyamin M.-Alizadeh and Hossein Parnian) has been accepted for publication in the Journal of Algebra and its Applications.
• Our article Recursive Structures in Involutive Bases Theory (joint work with Amir Hashemi and Matthias Orth) has been published in the Journal of Symbolic Computation.
• I will be a plenary speaker at the conference Applications of Computer Algebra in Warsaw (July 17-21, 2023).
• Our article Complementary Decompositions of Monomial Ideals and Involutive Bases (joint work with Amir Hashemi and Matthias Orth) has appeared in Applicable Algebra in Engineering, Communication and Computing.
• Our review article Size-Resolved Modeling of Diatom Populations: Old Findings and New Insights (joint work with Jonas Ziebarth and Thomas Fuhrmann-Lieker) has appeared in a book on the Mathematical Biology of Diatoms.
• Together with colleagues from Austria, Spain and Russia, we are organising a monthly online seminar on singularities of differential, difference and integro-differential equations. For more details, in particular for the schedule, and for registration please visit our web page.
• The university has published a press release on our paper on the diatom population dynamics: it can be found here (in German only). The local newspaper HNA has made a half page article out of it.
• Our article Computation of Macaulay Constants and Degree Bounds has been accepted by the Journal of Symbolic Computation and has already been published.
• The German Science Foundation (DFG) has approved the research training group Biological Clocks on Multiple Time Scales where I am one of the PIs. For more information see .

Content of this page:

• Research/Forschung
• Publications/Veröffentlichungen
• Courses/Vorlesungen und Sprechstunde (only in German)
• Arbeitsgemeinschaft Computeralgebra für Kasseler Oberstufenschüler (only in German)
• Links

Currently, the following people form my research group:

• Rodrigo Iglesias Gonzalez (Logrono, Spain)
• Meskerem Abebaw Mebratie
• Dr. Matthias Orth
• Dr. Matthias Seiß
• Dr. Maxim Urich