address: Centrum Wiskunde & Informatica (CWI), Science Park 123, Amsterdam
email: lucas dot slot at cwi dot nl
My main interest is in polynomial optimization and semidefinite programming approaches to hard optimization problems. Some topics I have worked on are:
Symmetry reduction and Fourier analysis
Independent sets on geometric (hyper-)graphs
Publications and preprints
An effective version of Schmüdgen's Positivstellensatz for the hypercube.
with Monique Laurent. preprint (2021). [arXiv]
A recursive Lovász theta number for simplex-avoiding sets.
with Davi Castro-Silva, Fernando Mário de Oliveira Filho and Frank Vallentin. To appear in Proc. Am. Math. Soc. (2021). [arXiv]
Education and theses
Msc. Mathematics at the University of Bonn (2016-2018)
Thesis: Global Gate Sizing and Buffering, under the supervision of prof. dr. Stephan Held
Bsc. Mathematics and Bsc. Computer Science at the University of Amsterdam (2013-2016)
Thesis: Ultrametric Simplices, under the supervision of dr. Jan Brandts and dr. Leen Torenvliet