Preprints

Current research preprints:

	Blomenhofer, Alexander Taveira, and Benjamin Lovitz. 2025. “A Linear-Time Algorithm for Chow Decompositions.” arXiv:2509.10450.
	Blomenhofer, Alexander, and Alex Casarotti. 2025. “On Defectivity of Joins, Reducible Secants and Fröberg’s Conjecture.” arXiv:2509.10443.
	Blomenhofer, Alexander Taveira, and Alex Casarotti. 2023. “Nondefectivity of Invariant Secant Varieties.” arXiv:2312.12335. Under review at Selecta Mathematica.

Publications

Peer-reviewed journal publications:

	Blomenhofer, Alexander Taveira, and Monique Laurent. 2026. “Moment-Sos and Spectral Hierarchies for Polynomial Optimization on the Sphere and Quantum de Finetti Theorems.” SIAM Journal on Optimization 36(1), 204–232. DOI: 10.1137/24M1717750.
	Blomenhofer, Alexander Taveira. 2025. “Gaussian Mixture Identifiability from Degree 6 Moments.” Algebraic Statistics 16(1), 1–28. DOI: 10.2140/astat.2025.16.1.
	Blomenhofer, Alexander Taveira. 2025. “On Uniqueness of Power Sum Decomposition.” SIAM Journal on Applied Algebra and Geometry 9(1), 211–234. DOI: 10.1137/23M1573355.
	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 55(5), 2407–2424. DOI: 10.1112/blms.12871.
	Vill, Julian, Mateusz Michałek, and Alexander Taveira Blomenhofer. 2022. “Ideals of Spaces of Degenerate Matrices.” Linear Algebra and its Applications 648, 56–69. DOI: 10.1016/j.laa.2022.04.016.

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.