Arno van den Essen received a grant from the Free Competition of The Netherlands Organisation for Scientific Research (NWO) intended for the hiring of one postdoc on a project. The postdoc employed on the project is Joost Berson.
The project, entitled “Polynomial automorphisms over commutative rings: factor rings and stabilization methods”, focuses on polynomial maps with coefficients in a general commutative ring, and especially the maps that are invertible, the automorphisms.
The aim of this project is to increase the theoretical foundation of the theory on polynomial automorphisms, by means of studying the structure of their components, the coordinates.
The two main research goals can be described as follows:
1. The search for methods and algorithms to recognize a polynomial as a coordinate. Or, closely connected to this, to determine whether a given algebra is isomorphic to a polynomial ring;
2. Development of stabilization techniques, i.e., techniques by which problems are solved by viewing polynomials in a higher dimension.