Teaching
Teaching
Lecturer, Master's course: Metric Algebraic Geometry --- Fall 2026/2027
Faculty of Mathematics, TU Dresden ___ co-held with Carlotta Langer and Maximilian Wiessman
Programme (my part only): (1) Tensors, tensor rank and border rank; (2) Secant varieties, identifiability, defectivity and singularities; (3) Apolarity lemma and equations of secant varieties of rational normal curves; (4) Matrix multiplication tensor and complexity; (5) Second and higher fundamental forms on homogeneous spaces.
Seminars (my part only): (i) Alexander-Hirschowitz Theorem; (ii) Algorithms to decompose symmetric tensors; (iii) Border rank for matrix multiplication complexity; (iv) Tensors in metric algebraic geometry; (v) *student's choice*.
Teaching Assistant, mini course: Classical Invariant Theory --- May 2025 [Notes]
"TiME2025 Summer School: Invariant Theory", Lie-Størmer Centre, Tromsø ___ co-held with Giorgio Maria Ottaviani
Programme (my part only): (1) Pfaffians; (2) Invariants of binary quartics; (3) Invariants of ternary cubics; (4) Relations with Hessian maps; (5) Aronhold invariant as Pfaffian.
Assistant Lecturer, Master's course: Tensor Decomposition for Big Data Analysis --- Fall 2023/2024
Department of Mathematics, University of Trento ___ co-held with Alessandra Bernardi
Students
Master's
Internship
Ilaria Pellegrinelli, MSc student at University of Trento || September-December 2025
@ MPI-CBG Dresden | Topic: tensor decomposition methods for analysis of lipid datasets
Reading Groups
(05-07.2025) Based on Miller-Sturmfels' book "Combinatorial Commutative Algebra", at the MPI-CBG
co-organised with Jane Ivy Coons at the MPI-CBG.
(03-12.2023) Fuori dagli schemi , based on Vakil's notes "The Rising Sea: Foundations of Algebraic Geometry", online
co-organised with other italian Ph.D. students and researchers.