Intérêts mathématiques principaux :
la théorie des nombres, la combinatoire, la théorie des automates finis
et des
langages formels,
les systèmes dynamiques, les équations différentielles et aux différences
et leurs théories de Galois.
Addendum to: Mahler's method in several variables and finite automata,
with C. Faverjon.
Preprint 2024, arXiv:2407.18578 [math.CO], 7 pp. pdf
A sharper multivariate Christol theorem with applications to diagonals and Hadamard products
with A. Bostan and X. Caruso.
Preprint 2023, arXiv:2306.02640 [math.NT], 33 pp. pdf
A note on Christol 's Theorem,
with R. Yassawi.
Preprint 2019, arXiv:1906.08703 [math.NT], 14 pp, not intended for publication. pdf
Algebraic relations between sine and cosine values,
with E. Delaygue.
Amer. Math. Monthly, à paraître, 13 pp. pdf
Mahler's method in several variables and finite automata,
with C. Faverjon.
Annals of Math., à paraître, arXiv:2012.08283 [math.NT], version révisée 66 pp. pdf Cet article remplace les deux articles arXiv:1809.04823 [math.NT] et arXiv:1809.04826 [math.NT].
Relations algébriques entre valeurs de E-fonctions ou de M-fonctions
avec C. Faverjon.
C. R. Math. Acad. Sci. Paris 362 (2024), 1215-1241. pdf
Algebraic independence and linear difference equations,
with T. Dreyfus, C. Hardouin, and M. Wiber.
J. Eur. Math. Soc. (JEMS) 26 (2024), 1899-1932. pdf
Cyclotomic valuation of q-Pochhammer, symbols and q-integrality of basic hypergeometric series
with J. Bell, E. Delaygue, and F. Jouhet.
Acta Arith. 213 (2024), 131-167. pdf
A new proof of Nishioka's theorem in Mahler's method,
with C. Faverjon.
C. R. Math. Acad. Sci. Paris 361 (2023), 1011-1028. pdf
A height gap theorem for coefficients of Mahler functions,
with J. Bell and D. Smertnig.
J. Eur. Math. Soc. (JEMS) 25 (2023), 2525-2571. pdf
Bracket words: a generalisation of Sturmian words arising from generalised polynomials,
with J. Konieczny.
Trans. Amer. Math. Soc. 376 (2023), 4979-5044. pdf
Sélection de publications
Hypertranscendence and linear difference equations,
with T. Dreyfus and C. Hardouin.
J. Amer. Math. Soc. 34 (2021) 475-503. pdf
On the computational complexity of algebraic numbers: the Hartmanis--Stearns problem revisited,
with J. Casssaigne and M. Le Gonidec.
Trans. Amer. Math. Soc. 373 (2020), 3085-3115. pdf
Algebraic independence of G-functions and congruences "à la Lucas",
with J. Bell and É. Delaygue.
Ann. Sci. Éc. Norm. Supér. 52 (2019), 515-559. pdf
Méthode de Mahler : relations linéaires, transcendance et applications aux nombres automatiques,
avec C. Faverjon.
Proc. London Math. Soc. 115 (2017), 55-90. pdf
A problem about Mahler functions,
with J. Bell.
Ann. Sc. Norm. Super. Pisa 17 (2017), 1301--1355. pdf
Diagonalization and rationalization of algebraic Laurent series,
with J. Bell.
Ann. Sci. Éc. Norm. Supér., 46 (2013), 963--1004. pdf
On vanishing coefficients of algebraic power series over fields of positive characteristic,
with J. Bell.
Invent. Math., 187 (2012), 343--393. pdf
Nombres réels de complexité
sous-linéaire : mesures d'irrationalité et de transcendance,
with Y. Bugeaud.
J. Reine Angew. Math., 658 (2011), 65--98. pdf
Mesures de transcendance et aspects quantitatifs de la méthode de
Thue-Siegel-Roth-Schmidt,
avec Y. Bugeaud.
Proc. London Math. Soc. 101 (2010), 1-31. pdf
Transcendence measure for continued fractions involving repetitive or symmetric patterns,
with Y. Bugeaud.
J. Eur. Math. Soc. (JEMS) 12 (2010), 883--914. pdf
On the expansion of some exponential periods in an integer base.
Math. Ann. 346 (2010), 107--116. pdf
On the Maillet-Baker continued fractions,
with Y. Bugeaud.
J. Reine Angew. Math. 606 (2007), 105--121. pdf
On the complexity of algeraic numbers I.
Expansions in integer bases,
with Y. Bugeaud.
Annals of Math. 165 (2007), 547--565. pdf
Diophantine properties of real numbers generated by finite automata,
with J. Cassaigne.
Compositio Math. 142 (2006), 1351-1372. pdf
On the Littlewood conjecture in simultaneous Diophantine
approximation,
with Y. Bugeaud.
J. London Math. Soc. 73 (2006), 355--366. pdf
On the complexity of algebraic numbers, II. continued fractions,
with Y. Bugeaud.
Acta Math. 195 (2005), 1--20. pdf
Symbolic discrepancy and self-similar dynamics.
Ann. Inst. Fourier 54 (2004), 2201--2234. pdf
