Mateusz Michałek has been recently appointed as a W2 Research Group Leader at MPI MiS. His aim is to build a world-class group on Combinatorial Algebraic Geometry.
In particular, the following research problems will be studied: toric geometry and its relations to phylogenetics and tensors, secant varieties with a view towards tensor decompositions and tensor rank, geometric approach to fast matrix multiplication, combinatorial aspects of polytopes and relations to algebra, application of local algebraic methods in topological problems, k-regular maps and their algebraic analogs.
Mateusz likes studying mathematical problems that are inspired by other branches of science, e.g. statistics. This often leads from the world of well-established complex, projective algebraic geometry to new less-classical (e.g. real or positive) aspects of geometry. His work involve a mixture of methods from different disciplines, like combinatorics, measure theory, computational mathematics and commutative algebra. His group very closely cooperates with the group of Bernd Sturmfels. They regularly have joint openings for post-doc and PhD positions.
June 19, 2017