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.
Algebraic independence measures for values of E-functions and M-functions,
with C. Faverjon.
Preprint 2025, arXiv:2502.09999 [math.NT], 30 pp. pdf
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
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 2025, 68 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
