I am making computer experiments from mathematics and related areas FAIR. This involves
developing guidelines for such computer experiments and establishing
new data formats.
My mathematical interests lie 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.
Curriculum vitae
04/2022 -- present: Employee of MaRDI working on confirmable workflows
My github username is lkastner. I have contributed to the following software projects:
cellularSheaves
This is a polymake extension
for working with cellular sheaves (a special form of graph
representations), developed together with Kris
Shaw and Anna-Lena Winz. These sheaves can
be used for computing tropical homology. You can find more information here and
here.
Macaulay2
Computer algebra system developed by Michael Stillman and Daniel Grayson. I am currently one of the
maintainers of the ‘Polyhedra’ package for computations involving polyhedral objects.
OSCAR Next generation computer algebra system based on polymake, Singular, GAP and (written in) Julia.
polymake
Software framework for computations involving polyhedral objects. Together with Benjamin Lorenz I am
author of the application ideal for interfacing Singular, as well as of the application fulton for
toric geometry.
Singular
Computer algebra system developed by Gert-Marting Greuel and Gerhard Pfister. I am a co-author of the
library multigrading.lib for computations involving multigraded rings.
