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
Email: seiler@mathematik.uni-kassel.de

News (not very often updated):

• Our article Minimal Staggered Linear Bases and Their Applications (joint work with Amir Hashemi, Matthias Orth and Nicolas Jagersma) has been accepted for publication in Mathematics and Computer Science.
• Our article Computing Finite and Infinite Free Resolutions with Pommaret-Like Bases (joint work with Amir Hashemi and Matthias Orth) has been accepted for publication in the Journal of Symbolic Computation and is already published.
• 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 finally be published in Experimental Mathematics.
• Our article Machine Learning Conservation Laws of Dynamical Systems (joint work with Meskerem Abebaw Mebratie, Rüdiger Nather and Guido Falk von Rudorff) has been accepted for publication in Physical Review E and is already published.
• Our article On the Minimal Free Resolution of the Rees Algebra of some Monomial Ideals (joint work with Rodrigo Iglesias, Matthias Orth and Eduardo Saenz-de-Cabezon) has been accepted for publication in Applicable Algebra in Engineering, Communication and Computing and is now published.
• We have finished a new preprint Cohen-Macaulay, Gorenstein and Complete Intersection Conditions by Marked Bases (joint work with Cristina Bertone, Francesca Cioffi and Matthias Orth).
• Our article Singular Initial Value Problems for some Quasi-Linear Second-Order Ordinary Differential Equations (joint work with Matthias Seiß) has been accepted for publication in the Journal of Dynamics and Differential Equations.
• 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 published in the Journal of Algebra and its Applications.
• Our article Machine Learning Parameter Systems, Noether Normalisations and Quasi-Stable Positions (joint work with Amir Hashemi and Mahshid Mirhashemi) has been accepted for publication in the Journal of Symbolic Computation and is already published.
• We are organising the twelfth workshop Differential Algebra and Related Topics (DART XII) in Kassel.
• 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.
• 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.
• 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:

• Nick Baberuxki
• Rodrigo Iglesias Gonzalez (Logrono, Spain)
• Meskerem Abebaw Mebratie
• Gokul Nair