Research

I work on deterministic finite automata, automatic sequences, combinatorics on word, and cellular automata, at the interface between number theory, probability and theoretical computer science. I am interested in sequences that can be built in columns of cellular automata by explicit constructions. I have also studied the discrete correlations of order 2 of generalised Rudin-Shapiro sequences, using the theory of exponential sums, difference matrices and combinatorial methods.

1. Characteristic sequences of the sets of sums of squares as columns of cellular automata, 14th International Conference on WORDS 2023, Lecture Notes in Computer Science, 13899 (2023), 288 – 300.

2. Column representation of Sturmian words in cellular automata, 26th International Conference Developments in Language Theory, Lecture Notes in Computer Science, 13257 (2022), 127 – 138, with Francesco Dolce. 

3. Discrete correlations of order 2 of generalized Golay–Shapiro sequences : a combinatorial approach, Integers Volume 21 A45 (2021), with Irène Marcovici and Thomas Stoll.

4. Discrete correlation of order 2 of generalized Rudin–Shapiro sequences on alphabets of arbitrary size, Uniform Distribution Theory, Volume 15 (2020), no. 1, 1 – 26.

5. Construction of Some Nonautomatic Sequences by Cellular Automata, AUTOMATA 2018, Lecture Notes in Computer Science,10875 (2018), 113 – 126, with Irène Marcovici and Thomas Stoll.

• Journées arithmétiques, Nancy (France), July 2023

• WORDS, Umeå (Sweden), June 2023 

• One World Combinatorics on Words seminar, May 2022 (online).

• Developments in Language Theory, Tampa (United States of America), May 2022.

• Young Mathematicians Symposium of the Greater Region, Liège (Belgium), September 2019.

• Workshop ALEA Young, Normandy (France), May 2019.

• Conférence AUTOMATA, Gand (Belgium), June 2018. 

• EJCIM 2019, Marseille, March 2019.

• EJCIM 2018, Nancy, March 2018.    

• Combinatorial and Algebraic Structures Seminar, TIGR, Prague, October 2021.

• Ernest seminar, GDAC team, Marseille, April 2021 (online).

• Seminar of number theory of Nancy-Metz, June 2020 (online).

• Ernest seminar, GDAC team, Marseille, Marseille, May 2020 (online).

• Ph.D students' day of Nancy-Metz, May 2019.

• Ph.D students' day of Nancy-Metz, November 2017. 

• 18e Journées Montoises, Prague, September 2022.

• SDA2 days, Liège, June 2022.

• Pseudorandomness, cryptography and number theory, Nancy, December 2021.

• EETAN2021 Summer school in analytic number theory, Paris, June/Juillet 2021.

• Diophantine Problems: Determinism, Randomness, Applications, Marseille CIRM, November 2020 (online).

• EJCIM 2020, Bordeaux, June 2020 (online).

• Workshop on Words and Complexity, Lyon, February 2018.

• 17e Forum des Jeunes Mathématicien-nes, Nancy, November 2017