My research domains are algebraic geometry, tropical
geometry and their interactions. I have been working on topics
such as Brill-Noether theory of algebraic and tropical curves, tropical linear spaces, tropical
surfaces, lattice polytopes and their triangulations.
News
Together with Emre Sertöz, I am organizing the Cubic Surfaces wiki. The website contains 27 questions about cubic surfaces posed by Bernd Sturmfels. Take a look at them, choose your favorite and become a collaborator!
On May 13, there will be a meeting at the University of Oslo with lectures and discussions about the 27 questions.
Together with Matteo Gallet, Kathlén Kohn, Alessandro Oneto and Emanuele Ventura, I am organizing the EMS School TiME 2019: "Curves and Surfaces: a History of Shapes" with the support of CIRM (Trento, IT).
The school will take place September 2-6 at Hotel Bellavista, Levico, Italy. Lecturers are Laurent Busé (Inria), Fabrizio Catanese (Bayreuth U.) and Elisa Postinghel (U. Loughborough).
Preprints
Tropical Lines on Cubic Surfaces, 2019 arXiv
with M. D. Vigeland.
On local Dressians of matroids,
with J. Olarte and B. Schröter, to appear in Algebraic and Geometric Combinatorics on Lattice Polytopes.
Proceedings of the Summer Workshop on Lattice Polytopes, Osaka, 23 July-10 August 2018. Edited By: Takayuki Hibi and Akiyoshi Tsuchiya (2019) arXiv
Brill-Noether theory of curves on
P^{1} x P^{1}: tropical and classical approach, 2017
arXiv
with F. Cools, M. D'Adderio, and D. Jensen, to appear in Algebraic Combinatorics.
The gonality sequence of
complete graphs
with F. Cools, Electron. J. Comb. 24 (2017), no. 4 journal, arXiv.
Gonality of complete graphs with a small
number of omitted edges
Math. Nachr. 290 (2017), no. 1, 97-119 journal, arXiv.