Algebraic Torus Actions: Geometry and Combinatorics
Prof. Dr. Klaus Altmann, Prof. Dr. C. Haase
Dec 12, 2017 — Dec 31, 2020
The theory of algebraic varieties with algebraic torus action is a vast and active research field on the border of algebraic geometry, topology, representation theory and discrete mathematics. The present proposal aims at extending applicability of methods established in relation to equivariant ...
Algebraic and geometric properties of lattice polytopes.
Prof. Christian Haase, Akiyoshi Tsuchiya
Oct 01, 2018 — Oct 31, 2018
(1) The reflexive dimension of a lattice polytope. The reflexive polytope is one of the keywords belonging to the current trends in research of lattice polytopes. Haase and Melinkov showed that every lattice polytope is a face of some reflexive polytope. This lead us to consider which lattice ...
Algebraic methods for investigating cell fate decisions
Prof. Christian Haase, Prof. Heike Siebert
Jan 01, 2019 — Dec 31, 2021
The project aims at establishing a new application field for algebraic methods in systems biology. We plan to develop methods utilizing Gröbner bases and related concepts for classification and characterization of attractor sets representing different cell fates in Boolean models of molecular ...
Graduiertenkolleg "Facets of Complexity"
Prof. Günter Rote
Apr 01, 2018 — Oct 31, 2022
Complexity is a central topic both in mathematics and in computer science. It appears in vari-ous forms: there is combinatorial complexity (number) of mathematical structures; description complexity (the possibility of encoding a structure succinctly or visualizing it clearly); and al-gorithmic ...
Second Thematic Einstein Semester (TES)
Prof. Christian Haase (FU), Prof. Gavril Farkas (HU), Prof. Peter Bürgisser (TU)
Oct 01, 2019 — Mar 31, 2020
We strive to bring together MATH+-researchers from a variety of applications with algebraic geometers to find and exploit algebraic structures in order to extend the scope of traditional research in modeling, simulation and optimization, and conversely to progress theory by advancing fundamental ...
Workshop on: Perspectives and Emerging Topics in Algebra and Konvexity
Prof. Dr. Christian Haase
Feb 03, 2017 — Feb 09, 2017
Over the last decade, convexity has re-emerged as an powerful tool linking algebraic geometry and combinatorics. Although the connections between polyhedral and toric geometry are very well-known, the recent results exploiting convexity recognize new combinatorial structures on a much larger class ...