Publications and preprints 

1. Generalized Gottschalk's conjecture for sofic groups and applications, preprint (2024), (arxiv)

2. First-order model theory and Kaplansky's stable finiteness conjecture, (with T. Ceccherini-Silberstein and M. Coornaert), preprint (2023)

3. Cellular automata over shifts and subhifts: Garden of Eden Theorem and surjunctivity, book chapter in GAGTA Book 3 : Automata and Languages, 65 pages, to appear

4. Space reduction techniques for the 3-wise Kemeny problem, (with S. Hamel), preprint (2023), (arxiv)

5. Optimal majority rules and quantitative Condorcet properties of setwise Kemeny voting schemes, extended abstract (short version) accepted at AAMAS 2024, The 23rd International Conference on Autonomous Agents and Multi-Agent Systems, (with S. Hamel) (arxiv)

6. On the Garden of Eden theorem for non-uniform cellular automata, 2024 Nonlinearity 37 065012, DOI 10.1088/1361-6544/ad3ffa, (arxiv)

7. Some pointwise and decidable properties of non-uniform cellular automata, preprint, 24 pages, (arxiv)

8. Stable finiteness of twisted group rings and noisy linear cellular automata, Canadian Journal of Mathematics (2023), 1-20. (online) (arxiv)

9. On linear non-uniform cellular automata: duality and dynamics, Linear Algebra and Its Applications, vol 699, 1 May 2024, Pages 78-103, (journal) (arxiv)

10. On invertible and stably reversible non-uniform cellular automata, Theoretical Computer Science (2022) (journal) (arxiv)

11. On images of subshifts under embeddings of symbolic varieties, Ergodic Theory and Dynamical Systems (2022), 1-19. (journal) (arxiv)

12. LEF-groups and endomorphisms of symbolic varieties, preprint, (arxiv)

13. Weakly surjunctive groups and symbolic group varieties, preprint, (arxiv)

14. A geometric generalization of Kaplansky's direct finiteness conjecture, Proceedings of the American Mathematical Society 151 (2023), pp. 2863-2871. (arxiv)

15. On symbolic group varieties and dual surjunctivity, 22 pages, Groups, Geometry, and Dynamics 18 (2024), no. 1, pp. 213–234. DOI 10.4171/GGD/749

16. On linear shifts of finite type and their endomorphisms, (with T. Ceccherini-Silberstein and M. Coornaert), 27 pages,  Journal of Pure and Applied Algebra, vol. 226, June 2022 (online) (arxiv)

17. Shadowing for families of endomorphisms of generalized group shifts, Discrete & Continuous Dynamical Systems, 2022, 42 (1) : 285-299 (online first) (arxiv)

18. On dynamical finiteness properties of algebraic group shifts, Israel Journal of Mathematics (2022), 44 pages, (journal),  (arxiv) 

19. Invariant sets and nilpotency of endomorphisms of algebraic sofic shifts, (with T. Ceccherini-Silberstein and M. Coornaert), Ergodic Theory and Dynamical Systems, to appear, (arxiv), 38 pages 

20. Large unions of generalized integral sections on elliptic surfaces, preprint, 2019, (arxiv), 22 pages

21. Generalized integral points on abelian varieties and the Geometric Lang-Vojta conjecture, preprint, 2019, (arxiv), 40 pages

22. Finiteness criteria and uniformity of integral sections in some families of abelian varieties, Geometriae Dedicata 217, 59 (2023). (journal) (arxiv)

23. On the Parshin-Arakelov theorem and integral sections on elliptic surfaces, Beiträge zur Algebra und Geometrie (2022), (journal) (arxiv)

24. On sofic groups, Kaplansky's conjectures, and endomorphisms of pro-algebraic groups, Journal of Algebra, 562 (2020), 537-586. (journal) (arxiv)

25. On the Garden of Eden theorem for endomorphisms of symbolic algebraic varieties,  (with T. Ceccherini-Silberstein and M. Coornaert), Pacific Journal of Mathematics. 306 (2020), no. 1, 31--66. (journal) (arxiv)

26. Points entiers généralisés sur les variétés abéliennes, PhD thesis, University of Strasbourg, 6th March 2020 (pdf) HAL: tel-02515788 

27. On injective endomorphisms of symbolic schemes, (with T. Ceccherini-Silberstein and M. Coornaert), Communications in Algebra, 47 (2019), no. 11, 4824-4852.  (journal) (arxiv)

In preparation: 

0. Generalized integral points on semi-abelian varieties

1. Extended majority rule and applications

2. On approximations of Kemeny aggregate rankings

Other research notes 

1. Introduction à la théorie des formes modulaires, research internship master 1, supervised by Prof. F. Brumley  (pdf)

2. Équirépartition des nombres premiers et théorème de Dirichlet, (with Y. Dadoun), mini-thesis, supervised by Prof. G. Chenevier  (pdf)

3. Nombres congruents, (with Y. Dadoun), mini-thesis, supervised by Prof. E. Pirutka (pdf)

4. Exposant de Lyapounov et dynamique des systèmes linéaires aléatoires, (with. M. Hajji)), mini-thesis, supervised by Prof. Y. Chitour  (pdf)