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.
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
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., accepted (2024)
arXiv:2307.01833 [math.AG]
Analogues of hyperlogarithm functions on affine complex curves
Joint with Benjamin Enriquez
Publ. Res. Inst. Math. Sci., accepted (2024)
arXiv:2212.03119 [math.AG]
A picture in Cote d’Azur (2021)