Publications


[1] (with J. Fernández de Bobadilla, V. Muñoz, and A. Murillo) The Hilali conjecture for hyperelliptic spaces
Mathematics without boundaries: Surveys in Pure Mathematics (P. Pardalos and Th. M. Rassias, eds.), Springer-Verlag, 2014, 21-36.

[2] Periods of Hodge structures and special values of the gamma function
Inventiones mathematicae 208 (2017), no. 1, 247-282.

[3] (with O. Amini, S. Bloch, and J.I. Burgos Gil) Feynman amplitudes and limits of heights
Izvestiya: Mathematics 80 (2016), no. 5, special volume in honor of J-P. Serre, 813-848.
Video of a lecture by Spencer Bloch about this work.

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

[5] (with J. I. Burgos Gil) Multiple zeta values: from numbers to motives
Clay Mathematics Proceedings, to appear.

[6] Équirépartition de sommes exponentielles (travaux de Katz)
Séminaire Bourbaki, 70ème année, 2017-2018, no. 1141, Astérisque 414 (2019), 205-250
Video of the lecture.

[7] (with P. Jossen) Exponential motives
Preliminary version.
Videos of lectures at MSRI, Luminy and HIM.

[8] (with P. Jossen) Algebraic cogroups and Nori motives
Preprint in revision

[9] (with C. Sabbah and J-D. Yu) Hodge theory of Kloosterman connections
Duke Mathematical Journal 171 (2022), no. 8, 1649-1747.
Video of a lecture at Luminy.

[10] (with C. Sabbah and J-D. Yu) Quadratic relations between periods of connections
Tohoku Mathematical Journal 75 (2023), no. 2, 175-213.

[11] (with C. Sabbah and J-D. Yu) Quadratic relations between Bessel moments
Algebra & Number Theory 17 (2023), no. 3, 541-602.

[12] Hodge theory and o-minimality (after B. Bakker, Y. Brunebarbe, B. Klingler, and J. Tsimerman)
Séminaire Bourbaki, 72ème année, 2019-2020, no. 1170, Astérisque 430 (2021), 131-157
Video of the lecture.

[13] (with P. Jossen) A non-hypergeometric E-function
Annals of Mathematics 194 (2021), no. 3, 903-942.

[14] (with W. Sawin, A. Forey, and E. Kowalski) Quantitative sheaf theory
Journal of the American Mathematical Society 36 (2023), no. 3, 653-726.

[15] (with A. Forey, and E. Kowalski) Arithmetic Fourier transforms over finite fields: generic vanishing, convolution, and equidistribution
Submitted.

[16] Une introduction aux périodes
Périodes et transcendance. Journées mathématiques X-UPS 2019, 1-147. Éditions de l'École polytechnique, Palaiseau, 2023.
Videos of lecture 1 and lecture 2.

[17] The unbounded denominators conjecture (after F. Calegari, V. Dimitrov, and Y. Tang)
Séminaire Bourbaki, 75ème année, 2022-2023, no. 1197, Astérisque 446 (2023), 1-27.

[18] (with A. Forey, and E. Kowalski) Sidon sets in algebraic geometry
International Mathematics Research Notices, to appear.

[19] (with A. Forey, and E. Kowalski) Fixed-point statistics from spectral measures on tensor envelope categories
Submitted.

[20] (with C. Dupont) A construction of the polylogarithm motive
Submitted.

[21] (with A. Forey, E. Kowalski, and K. Soundararajan) The power of appearance of finite groups
In preparation.

[22] (with P. Jossen) Survey on exponential motives
In preparation.

[23] (with P. Jossen) E-functions and geometry
In preparation.

[24] (with F. Brown, C. Dupont, and M. Tapuskovic) Galois theory of local Mellin motives
In preparation.

[25] Periods, motivic Galois groups, and the Kontsevich-Zagier conjecture
Notes of Pisa lectures, in preparation.