#### Lars Kastner

I am a postdoc at the Institute of Mathematics of the Technical University in Berlin.Office: Strasse des 17. Juni 136, Room 626

e-mail: kastner[at]domain

where domain = math[dot]tu[minus]berlin[dot]de

#### Research interests

My main research interest lies at the intersection of Combinatorics with Algebraic Geometry and Commutative algebra. I wrote my thesis in the area of toric geometry and commutative algebra. Furthermore I like tropical geometry and T-varieties, i.e. varieties with an action by a lower dimensional torus.A major part of my work involves developing and implementing algorithms for the problems I encounter. I mainly use the systems Macaulay2, polymake, Singular and TOPCOM. This allows computing many examples in very short time for developing and checking conjectures.

#### Papers

**Immaculate line bundles on toric varieties, with Klaus Altmann, Jarosław Buczyński, and Anna-Lena Winz**(2018, arXiv preprint)

**New counts for the number of triangulations of cyclic polytopes, with Michael Joswig**(2018, In: Davenport J., Kauers M., Labahn G., Urban J. (eds) Mathematical Software – ICMS 2018. ICMS 2018. Lecture Notes in Computer Science, vol 10931. Springer, Cham, also on the arXiv)

**Parallel Enumeration of Triangulations, with Charles Jordan and Michael Joswig**(2018, The Electronic Journal of Combinatorics, Volume 25, Issue 3, also on the arXiv)

**Cellular sheaf cohomology in Polymake, with Kristin Shaw and Anna-Lena Winz**(2017, Combinatorial Algebraic Geometry. Fields Institute Communications, vol 80. Springer, New York, NY, also on the arXiv)

**Ext and Tor on two-dimensional cyclic quotient singularities**(2016, to be found on the arXiv)

**Thesis: Ext on affine toric varieties**(2016, available online at Freie Universität)

**A Web Application for Macaulay2, with Franziska Hinkelmann and Michael Stillman**(2015, to be found online at github)

**Negative deformations of toric singularities that are smooth in codimension two, with Klaus Altmann**(2013, appeared in Deformations of surface singularities, Bolyai Mathematical Society, to be found on the arXiv)

**Calculating Generators of Multigraded Algebras, with Nathan Ilten**(2013, appeared in Journal of Symbolic Computation, to be found on the arXiv)