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:

  • Periods and special functions arising from Riemann surfaces, such as multiple zeta values, multiple polylogarithms and higher-genus generalisations.

  • All kinds of modular forms.

  • 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.

Together with Francis Brown, Erik Panzer and Pierre Vanhove, I organise an online seminar on motives and period integrals in quantum field theory and string theory.

You can reach out to me at: f.zerbini “at” mat.uned.es

Latest articles

Relating flat connections and polylogarithms on higher genus Riemann surfaces
Joint with Eric D’Hoker, Benjamin Enriquez and Oliver Schlotterer
To appear in Commun. Math. Phys.
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]

Schottky-Kronecker forms and hyperelliptic polylogarithms
Joint with Konstantin Baune, Johannes Broedel, Egor Im and Artyom Lisitsyn
J. Phys. A: Math. Theor. 57 445202 (2024)
arXiv:2406.10051 [hep-th]

Elliptic hyperlogarithms
Joint with Benjamin Enriquez
Canad. J. Math., published online 2025:1-36
arXiv:2307.01833 [math.AG]

A picture in Cote d’Azur (2021)

IMG_2804.JPG