Là où calculer est impossible, suggérer s'impose
M. Bloch

Mattia Galeotti

I am a post-doc (Ricercatore di Tipo A) in Mathematics at Università di Bologna
My institutional website at UniBo
I obtained my PhD at IMJ, UPMC, Paris

Email: galeotti(dot)mattia(dot)work(at)gmail(dot)com
Address: Dipartimento di Matematica, Piazza di Porta San Donato 5 - 40126 Bologna
My office is at the I level (5th floor, on the north side of the building)

My research topics are Differential Geometry (Riemannian and sub-Riemannian manifolds, Synthetic Differential Geometry), contact structures, jet bundles, models of the Visual Cortex, PDEs on cortical models, deformation theory, topos theory

This is my complete CV
Here my page on the arXiv
My profiles on ORCID, Scopus and Google Scholar

My math publications


• An extension to non-nilpotent groups of Rothschild-Stein lifting method. arXiv
  Under review.


• The cortical V1 transform as a heterogeneous Poisson problem. arXiv, journal
  Joint work with Alessandro Sarti and Giovanna Citti.
  Published on SIAM Journal on Imaging Sciences 17 (1) (2024).


• Differential Operators Heterogenous in Orientation and Scale in the Cortext. journal
  Joint work with Giovanna Citti and Alessandro Sarti.
  Published on Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science, vol 14072, pp.465-473.


• Cortically based optimal transport. arXiv, journal
  Joint work with Giovanna Citti and Alessandro Sarti.
  Published on Journal of Mathematical Imaging and Vision (2022).


• Birational geometry of moduli of curves with an S3-cover. arXiv, journal
  Published on Advances in Mathematics. Vol. 389, 2021.


• Moduli of G-covers of curves: geometry and singularities. arXiv, journal
  Published on Annales de l'Institut Fourier 72 (6), 2022.


• Moduli spaces of abstract and embedded Kummer varieties. arXiv, journal
  Joint work with Sara Perna. Published on International Journal of Mathematics. Vol. 32, No. 08, 2150054 (2021).


• Singularities of moduli of curves with a universal root. arXiv, journal
  Published on Documenta Mathematica n.22 (2017).

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Talks and other


• June 2024 - I co-organized the conference Noncommutativity at the Interface of Topology, Geometry and Analysis, first JHU-UNIBO Conference, at Università di Bologna.


• March 2024 - Global fundamental solutions for Hörmander operators via a saturation method.
  Talk presented at Pini Seminar in Bologna.


• February 2024 - The visual V1 cortex action as a heterogeneous differential operator.
  Poster presented at the Bio-PDE Days 2024 in Vienna, Austria


• September 2023 - Differential operators heterogeneous in orientation and scale in the V1 cortex.
  Talk presented at the conference GSI'23, Geometric Science of Information in St. Malo, France


• July 2023 - I co-organized the conference Sub-Riemannian Geometry Harmonic Analysis, PDEs and Applications at Università di Bologna


• February 2023 - Poisson’s equation with heterogeneous differential operators
  Poster presented at the "Mathematics and Image Analysis, MIA conference 2023" that took place at Humboldt Universitat, Berlin and at the "VISAPP 2023, 18th International Conference on Computer Vision Theory and Application" that took place in Lisbon


• May 2021 - Between virtuality and formal gesture: thinking about the rare event
  Talk presented jointly with Luca Cabassa at the seminar of Post-structural dynamics (online), EHESS, Paris


• April 2021 - Birational geometry and singularities of moduli of curves with a spin bundle or a principal bundle
  Talk presented at the conference "Days of algebraic geometry and correlated subjects XV" (online), Università di Milano



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Teaching


• For the a.a. 2024/2025 I am teaching professor for the course 87295 - ANALISI MATEMATICA TA at Energy Engeneering. Here you can find various online resources and a section for official notices.


• For the a.a. 2023/2024 I was teaching professor for the course 66877 - ANALISI MATEMATICA at Informatics. Here you can find various online resources and a section for official notices.


• In 2020 and 2021 I was teaching assistant and teaching professor at Università di Bologna for graduate courses in basic mathematics and analysis at the faculties of economics, engineering and informatics.


• From 2014 to 2017 I was teaching assistant at Université Pierre et Marie Curie for undergraduate courses in basic mathematics, linear algebra and probability.

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Students


• In 2021 I co-supervised the master thesis of Francesco Paltrinieri and Giulia Lupi, students in mathematics at Università di Bologna; thesis supervisor: Prof. Giovanna Citti;


• In 2019 I co-supervised the master thesis of Valeria Tomasi, student in mathematics at Università degli Studi di Trento; thesis supervisor: Prof. Claudio Fontanari;

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Other publications


• I contributed to the anthology Epistemologie, critiche e punti di fuga nel dibattito contemporaneo (in italian).
  I translated, with Luca Cabassa, the texts of Gilles Châtelet, Ismael - Van Fraassen, Longo - Montévil.


• Discrimination and algorithms. Encounters and confrontations between different definitions of fairness (in italian). journal
  Published on The Lab’s Quarterly, 2018, XX, 4.


• My PhD thesis.

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Other stuff


• Micelio is a newsletter (in italian) that focus on the role of sciences and techniques in our world


• eXtemporanea is a beautiful community of scientists and non-scientists that you may be interested in following



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