4 papers
Benchmarks in Leipzig
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the 3…
Moment-sos and spectral hierarchies for polynomial optimization on the sphere and quantum de Finetti theorems
Alexander Taveira Blomenhofer, Monique Laurent
We revisit the convergence analysis of two approximation hierarchies for polynomial optimization on the unit sphere. The first one is based on the moment-sos approach and gives sem…
A linear-time algorithm for Chow decompositions
Alexander Taveira Blomenhofer, Benjamin Lovitz
We propose a linear-time algorithm to compute low-rank Chow decompositions. Our algorithm can decompose concise symmetric 3-tensors in n variables of Chow rank n/3. The algorithm i…
On defectivity of joins, reducible secants and Fröberg's conjecture
Alexander Blomenhofer, Alex Casarotti
We introduce the notion of r-defectivity for a vector bundle on a quasi-projective variety. Using this tool, we prove several previously unknown cases of Fröberg's conjecture and…