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] A reciprocity law for periods of cyclic covers

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

[6] (with P. Jossen) Exponential motives

Videos of lectures at MSRI, Luminy and HIM.

[7] (with P. Jossen) Algebraic cogroups and Nori motives

[8] (with C. Sabbah and J-D. Yu) Hodge theory of Kloosterman connections

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

[2] Équirépartition de sommes exponentielles [Travaux de Katz]

Video of the lecture.

[1] (with D. Jetchev, P. Jossen and R. Pink) Motives and Complex Multiplication