My research lies at the interplay between number theory and algebraic geometry. I am particularly interested in

[1] (with J. Fernández de Bobadilla, V. Muñoz and A. Murillo) The Hilali conjecture for hyperelliptic spaces

[2] Periods of Hodge structures and special values of the gamma function

[3] (with O. Amini, S. Bloch and J.I. Burgos Gil) Feynman amplitudes and limits of heights

Video of a lecture by Spencer Bloch about this work.

[4] (with J. I. Burgos Gil) Multiple zeta values: from numbers to motives

[5] A reciprocity law for periods of cyclic covers

[6] (with M. Asakura) On the Gross-Deligne conjecture for variations of Hodge-de Rham structures

[7] (with P. Jossen) Exponential motives

Videos of lectures at MSRI and Luminy.