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

Office: F3 15

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+49 341 9959 791

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+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

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

Celik, Türkü Ozlüm ; Galuppi, Francesco ; Kulkarni, Avinash and Miruna-Ştefana Sorea: On the eigenpoints of cubic surfaces
In: Le Matematiche, Vol. not yet known, pp. not yet known
Bibtex ARXIV: https://arxiv.org/abs/1909.06261

Farnik, Łucja ; Galuppi, Francesco ; Sodomaco, Luca and William Trok: On the unique unexpected quartic in \(\mathbb{P}^2\)
In: Journal of algebraic combinatorics, Vol. not yet known, pp. not yet known
Bibtex DOI: 10.1007/s10801-019-00922-6 ARXIV: https://arxiv.org/abs/1804.03590

Galuppi, Francesco: Collisions of fat points and applications to interpolation theory
In: Journal of algebra, 534 (2019), p. 100-128
Bibtex DOI: 10.1016/j.jalgebra.2019.06.008 ARXIV: https://arxiv.org/abs/1803.02746

Galuppi, Francesco: The rough Veronese variety
In: Linear algebra and its applications, 583 (2019), p. 282-299
Bibtex MIS-Preprint: 91/2018 DOI: 10.1016/j.laa.2019.08.029 ARXIV: https://arxiv.org/abs/1809.02522

Galuppi, Francesco and Massimiliano Mella: Identifiability of homogeneous polynomials and Cremona transformations
In: Journal für die reine und angewandte Mathematik, 2019 (2019) 757, p. 279-308
Bibtex DOI: 10.1515/crelle-2017-0043 ARXIV: https://arxiv.org/abs/1606.06895

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

Preprints

Galuppi, Francesco and Mima Stanojkovski: Toric varieties from cyclic matrix groups

Colmenarejo, Laura ; Galuppi, Francesco and Mateusz Michałek: Toric geometry of path signature varieties
28.02.2020, 05:48