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.
- May 6–7, 2017; Hunter College, City University of New York: AMS Sectional Meeting (Special Session "Ehrhart theory and its applications")
- May 29– June 2, 2017; Princeton University and Rider University, NJ: Princeton-Rider Workshop on the Homotopy Theory of Polyhedral Products
- July 31 – August 4, 2017; Georgia Tech, Atlanta: SIAM Conference on Applied Algebraic Geometry (Special session "Core Algorithms in Algebra and Geometry")
- September 9–10, 2017; University of North Texas, Denton, TX: AMS Sectional Meeting (Special Session "Geometric Combinatorics and Combinatorial Commutative Algebra")
- September 14–16, 2017; Otto-von-Guericke Universität Magdeburg, Germany: Interactions with Lattice Polytopes