address: Andreasstrasse 5, 8092 Zürich
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 research group Networks & Optimization, under the supervision of
Monique Laurent. I defended my thesis cum laude at Tilburg University on 30 September 2022.
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 sum-of-squares hierarchies.
Extensions of the Lovász theta-number to hypergraphs.
Applications of reproducing (Christoffel-Darboux) kernels to topological data analysis.
Publications and preprints
A Note on the Computational Complexity of the Moment-SOS Hierarchy for Polynomial Optimization
with Sander Gribling and Sven Polak. Accepted at ISSAC 2023. [arXiv]
Degree bounds for Putinar's Positivstellensatz on the hypercube
with Lorenzo Baldi. preprint (2023) [arXiv]
The Christoffel-Darboux kernel for topological data analysis
with Pepijn Roos Hoefgeest. Accepted at SOCG'23 [arXiv]
A recursive theta body for hypergraphs
with Davi Castro-Silva, Fernando Mário de Oliveira Filho and Frank Vallentin. To appear in Combinatorica (2023) [arXiv]
Sum-of-squares hierarchies for polynomial optimization and the Christoffel-Darboux kernel
in SIAM J. Optimization (2022) [arXiv] [journal]
An effective version of Schmüdgen's Positivstellensatz for the hypercube
with Monique Laurent. In Optimization Letters (2022) [arXiv] [journal]
A recursive Lovász theta number for simplex-avoiding sets
with Davi Castro-Silva, Fernando Mário de Oliveira Filho and Frank Vallentin. In Proc. American Mathematical Society (2022) [arXiv] [journal]
Sum-of-squares hierarchies for binary polynomial optimization
with Monique Laurent. In IPCO'21. Extended version in Mathematical Programming (2022) [arXiv] [conference] [journal]
Near-optimal analysis of Lasserre’s univariate measure-based bounds for multivariate polynomial optimization
with Monique Laurent. In Mathematical Programming (2021) [arXiv] [journal]
Improved convergence analysis of Lasserre’s measure-based upper bounds for polynomial minimization on compact sets
with Monique Laurent. In Mathematical Programming (2022) [arXiv] [journal]
Education and theses
PhD Mathematics (cum laude) at Centrum Wiskunde & Informatica (CWI), Amsterdam and Tilburg University (2018-2022)
Thesis: Asymptotic Analysis of Semidefinite Bounds for Polynomial Optimization and Independent Sets in Geometric Hypergraphs
promotors: prof. dr. Monique Laurent and prof. dr. Etienne de Klerk.
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