Geometria Complessa e Geometria Differenziale
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Two-year postdoc in Warsaw: Tensor rank and its applications to signature tensors of paths

created by galuppi on 13 Jan 2025

Deadline: 1 mar 2025

The University of Warsaw announces a two-year postdoc position, funded by the Sonata grant "Tensor rank and its applications to signature tensors of paths". The project will be carried out at the Faculty of Mathematics, Informatics and Mechanics, under the supervision of Francesco Galuppi (https://www.mimuw.edu.pl/~galuppi).

The project revolves around the study of tensors from the viewpoint of algebraic geometry. There are two main directions:
1. The study of secant varieties and tensor rank, including symmetric rank, border rank, VSP, eigenvectors and eigenvalues of tensors.
2. The study of signature tensors of paths. This is a family of tensors with a wide range of applications, from stochastics to physics, from data analysis to statistics. However, the algebraic and geometric properties of signature tensors haven’t been systematically studied yet. This part of the project aims to employ algebraic geometric tools to study signature tensors and fill this gap.\end{enumerate}

The candidate is expected to have a PhD in mathematics, obtained before the start of employment. Research experience in one of the topics related to the project (for instance secant varieties, tensor rank, signatures of paths, etc.) will be an advantage. Ability to work on topics outside of one's scientific comfort zone is also considered valuable.

The starting date is planned between 1st May and 1st December 2025 – to be agreed with the selected candidate. The monthly salary is around 8200 PLN pre-tax (approximately 1900€). The position comes with no teaching duties and with travel and equipment budget.

Feel free to aks any question by email at f.galuppi@uw.edu.pl, with subject line "Postdoc Call 2025 - YourName".

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