Lucas Slot
ETH Zürich
address: Andreasstrasse 5, 8050 Zürich
email: lucas.slot@inf.ethz.ch
News
I won the Stieltjes Prize for the best PhD thesis in mathematics defended at a Dutch university in 2022-2023.
My preprint Nonconvergence of a sum-of-squares hierarchy for global polynomial optimization based on push-forward measures with Manuel Wiedmer is on arXiv.
My paper Degree Bounds for Putinar’s Positivstellensatz on the Hypercube with Lorenzo Baldi appeared in SIAM J. Applied Algebra and Geometry.
About me
From November 2022, I am a postdoc in the group of David Steurer at ETH Zürich.
Previously, I was a PhD student at Centrum Wiskunde & Informatica (CWI) in the Networks & Optimization group, under the supervision of Monique Laurent.
I defended my thesis cum laude at Tilburg University on 30 September 2022.
You can view my CV here (updated April 2024).
Research interests
My main interest is in polynomial optimization and semidefinite programming approaches to problems in optimization, discrete geometry, combinatorics, statistics and data science.
Some topics I have worked on are:
Asymptotic error analysis of various sum-of-squares hierarchies.
Extensions of the Lovász theta-number to (geometric) hypergraphs.
Applications of reproducing (Christoffel-Darboux) kernels to (topological) data analysis.