Francesco Galuppi
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany

Office: F3 15

Contact:
Email

Phone:
+49 341 9959 791

Fax:
+49 341 9959 658

Francesco Galuppi

Research interests

My field is complex algebraic geometry. Among my interests are Waring-like problems about decompositions of tensors, approached from a birational point of view. I also like interpolation theory, especially the study of the dimension of linear systems on rational smooth varieties.

Since I joined the Nonlinear Algebra research grop, I've been studying signature varieties of paths, from a geometric viewpoint. These days I'm working on the signature variety of rough paths.

Lecture in summer semester 2019

Enumerative geometry

Date: Wednesday 09:30 - 11:00 and Thursday 13:30 - 15:00
Room: MPI MiS, G3 10
Abstract and more info: see lecture info page

Curriculum vitae

2018 - present Postdoc at Max Planck Institute for Mathematics in the Sciences

2014 - 2018 PhD in Aglebraic Geometry at University of Ferrara, awarded cum laude. Tutor: prof. Massimiliano Mella.

2016 Visiting student at University of Oslo. Tutor: prof. Kristian Ranestad.

2011 - 2013 Master Degree in Mathematics at University of Padova. Tutor: prof. Pietro Polesello.

Publications

Journal Articles

Angelini, Elena ; Galuppi, Francesco ; Mella, Massimiliano and Giorgio Ottaviani: On the number of Waring decompositions for a generic polynomial vector

In: Journal of pure and applied algebra, 222 (2018) 4, p. 950-965

Bibtex DOI: 10.1016/j.jpaa.2017.05.016 ARXIV: https://arxiv.org/abs/1601.01869

Galuppi, Francesco and Massimiliano Mella: Identifiability of homogeneous polynomials and Cremona transformations

In: Journal für die reine und angewandte Mathematik, Vol. not yet known, pp. not yet known

Bibtex DOI: 10.1515/crelle-2017-0043 ARXIV: https://arxiv.org/abs/1606.06895

Preprints

Colmenarejo, Laura ; Galuppi, Francesco and Mateusz Michałek: Toric geometry of path signature varieties

Bibtex MIS-Preprint: 28/2019 ARXIV: https://arxiv.org/abs/1903.03779

Farnik, Łucja ; Galuppi, Francesco ; Sodomaco, Luca and William Trok: On the unique unexpected quartic in \(\mathbb{P}^2\)

Bibtex ARXIV: https://arxiv.org/abs/1804.03590

Galuppi, Francesco: Collisions of fat points and applications to interpolation theory

Bibtex ARXIV: https://arxiv.org/abs/1803.02746

Galuppi, Francesco: The rough Veronese variety

Bibtex MIS-Preprint: 91/2018 ARXIV: https://arxiv.org/abs/1809.02522

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