Dr. Lukas Katthän
I am currently a Post-Doc at the combinatorics group at the School of Mathematics, University of Minnesota, Twin Cities. I finished my PhD in 2013 at the Philips-University Marburg under the guidance of Volkmar Welker. After that I was a Post-Doc at the Universität Osnabrück and at the Goethe-Universität in Frankfurt am Main.
I am working in combinatorial commutative Algebra, which for me means the study of monomial ideals and toric ideals and simplicial complexes, using techniques from combinatorics and topology. A lot of my recent research resolves concerns the structure of the minimal free resolutions of monomial ideals. I am also interested in Ehrhart theory and in binomial ideals.