Since December 2023, I have a Beatriz Galindo tenure track position at the mathematical department of the UNED University (Madrid, Spain).
I am mainly interested in:
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Periods and special functions arising from Riemann surfaces, such as multiple zeta values, multiple polylogarithms and higher-genus generalisations.
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All kinds of modular forms.
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Applications of the above objects to the computation of Feynman amplitudes, especially in superstring theory.
I am currently also interested in various topics at the interface between mathematics and physics, such as mirror symmetry, topological recursion and resurgence.
You can reach out to me at: f.zerbini “at” mat.uned.es
Latest articles
Flat connections on moduli spaces I: Local (1,0)-extension of the DHS connection
Joint with Eric D’Hoker, Benjamin Enriquez and Oliver Schlotterer
arXiv:2608.29169 [hep-th]
Relating flat connections and polylogarithms on higher genus Riemann surfaces
Joint with Eric D’Hoker, Benjamin Enriquez and Oliver Schlotterer
Commun. Math. Phys. 407(3), 43, 2026
arXiv:2501.07640 [hep-th]
Closed-string amplitude recursions from the Deligne associator
Joint with Konstantin Baune and Johannes Broedel
To appear in Adv. Theor. Math. Phys.
arXiv:2412.17579 [hep-th]
A picture in Cote d’Azur (2021)