Contacts
Max Planck Institute CBG
Pfotenhauerstraße 108
01307 Dresden
Germany
Email:
galgano[at]mpi[minus]cbg[dot]de
Contacts
Max Planck Institute CBG
Pfotenhauerstraße 108
01307 Dresden
Germany
Email:
galgano[at]mpi[minus]cbg[dot]de
About me
I am a postdoctoral researcher at the Section of Mathematics of the Max Planck Institute CBG in Dresden, within Heather A. Harrington's group.
Education: I was awarded my Ph.D. in Mathematics, with label of "Doctor Europaeus", from the University of Trento, under the supervision of Alessandra Bernardi and Giorgio Maria Ottaviani. Prior to that, I got my Bachelor's and Master's degrees at the University of Pisa.
Memberships: I am member of the Italian INdAM group GNSAGA and of the "Associazione Culturale Enrigo Enriques".
I firmly believe in the value of mathematical community, to be inclusive, collaborative and to stand up for democracy, equality and freedom.
My Research
My research is interdisciplinary, at the intersection of Algebraic Geometry and Representation Theory with a view towards applications to other Life Sciences. Tensors are a common denominator of my activity.
My fundamental research focuses on symmetries (e.g. invariants, tensor rank) and geometry (e.g. singularity, normality, identifiability) of algebraic varieties related to tensors. These include secant varieties, Hilbert schemes of points, (pre)homogeneous spaces and compactifications of matrix spaces.
I am also interested to more application-driven problems, with a focus on algebraic varieties and symmetries arising in quantum life sciences (e.g quantum states in Quantum Information, excited states in Quantum Physics/Chemistry). Recently, I have been getting interested into interactions between Algebraic Geometry and MultiPersistent Homology (MPH), specifically on how to deduce persistence invariants from algebraic varieties.
Since my time at MPI-CBG, I have also been getting hand on analysing real data, specifically via tensor decomposition methods or a combination of signatures-ML methods.
News
Preprint on arXiv! - July 2026
Tensor analysis for lipid transport is my first collaboration with biologists. Check it here: arXiv .
Student got MSc degree! - July 2026
Ilaria Pellegrinelli was awarded her Master's Degree with honours in Mathematics at the University of Trento, with a thesis (here) on orthogonally decomposable tensors and their application to data analysis. She is going to join the PhD programme at the MPI-CBG Dresden within the group of H. Harrington. Also check above for her first preprint!
Survey on arXiv! - March 2026
The lecture notes Some Classical Invariants, from Harmonic Quadruples to Triangle Groups by Giorgio Ottaviani with an appendix by me are now online.
Check them here: arXiv .
Upcoming Events
November 19, 2026 : I will give a seminar talk at the GAGALie seminars in Poitiers.
February 18, 2027 : I will give a seminar talk at the GATD seminars in Dijon.