#### Lars Kastner

I am a research assistant at the Free University in Berlin.Office: Arnimallee 3, Room 115

e-mail: kastner[at]domain

where domain = math[dot]fu[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 and Singular. This allows computing many examples in very short time for developing and checking conjectures.

#### Papers

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

**Thesis: Ext on affine toric varieties**(published 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)