Preprints

Here are some of my recent preprints:

   
Blomenhofer, Alexander Taveira and Alex Casarotti. “Dimensions of invariant secant varieties”, 2023. http://arxiv.org/abs/2312.12335.
Blomenhofer, Alexander Taveira. 2023. “Gaussian Mixture Identifiability from Degree 6 Moments.” http://arxiv.org/abs/2307.03850.
Blomenhofer, Alexander Taveira. 2023. “Unique Powers-of-Forms Decompositions from Simple Gram Spectrahedra.” http://arxiv.org/abs/2305.06860.

Publications

Some publications in peer-reviewed journals:

   
Blomenhofer, Alexander Taveira, Alex Casarotti, Mateusz Michałek, and Alessandro Oneto. 2023. “Identifiability for Mixtures of Centered Gaussians and Sums of Powers of Quadratics.” Bulletin of the London Mathematical Society.
Vill, Julian, Mateusz Michałek, and Alexander Taveira Blomenhofer. 2022. “Ideals of Spaces of Degenerate Matrices.” Linear Algebra and Its Applications.

Thesis

I wrote my doctoral dissertation

Gaussian Mixture Separation and Denoising on Parameterized Varieties (2022)

at the Universität Konstanz, under the supervision of Markus Schweighofer. I am very grateful to him and also to my unofficial, semi-voluntary co-supervisors, Mateusz Michałek and Pravesh Kothari. The thesis is available from the KOPS online repository of the Universität Konstanz, and also on GitHub.