POEMA Host Institution: Univ. degli Studi di Firenze, Italy
Bachelor degree in mathematics (Unicamp - 2016), with a scientific initiation project on classical algebraic geometry. Master’s degree in mathematics (Unicamp - 2019), with the thesis “Bridgeland Stability and the Interpolation Problem”.
Research interests: Liaison theory, Bridgeland stability, interpolation, tensor rank and tensor decomposition.
POEMA project: My first goal in POEMA project is to understand the optimization problem of tensors, with respect to the rank. The rank one case is well known; therefore, the goal is to understand the problem for the higher rank case. Moreover, exact tensor decomposition algorithms based on algebraic geometry techniques, in particular using vector bundles, have been introduced recently. A second goal of the project is to convert these algorithms to numerical approximate algorithms. The project has two secondments, at Sorbonne University in Paris, and at INRIA in Sophia Antipolis.
Supervisors: Giorgio Ottaviani, Univ. degli Studi di Firenze, Italy