On Gottschalk's surjunctivity conjecture for non-uniform cellular automata, 31st International Workshop on Cellular Automata and Discrete Complex Systems (2025), (arxiv)
Efficient space reduction techniques by optimized majority rules for the Kemeny aggregation problem, preprint 2025
Topological stability of semigroup actions and shadowing, (with T. Ceccherini-Silberstein and M. Coornaert), preprint (2025), (arxiv)
Strongly sofic monoids, sofic topological entropy, and surjunctivity, (with T. Ceccherini-Silberstein and M. Coornaert), to appear in Journal d'Analyse Mathématique (2025+), (arXiv)
Stable finiteness of monoid algebras and surjunctivity, (with T. Ceccherini-Silberstein and M. Coornaert), Theoretical Computer Science (2025), Volume 1042, https://doi.org/10.1016/j.tcs.2025.115228. (arxiv)
Generalized Gottschalk's conjecture for sofic groups and applications, preprint (2024), (arxiv)
Weakly surjunctive groups and symbolic group varieties, Israel Journal of Mathematics, to appear, (arxiv)
Generalized integral points on abelian varieties and the Geometric Lang-Vojta conjecture, Journal of Algebraic Geometry (2025), https://doi.org/10.1090/jag/842
LEF-groups and endomorphisms of symbolic varieties, 2025, International Journal of Algebra and Computation, (Journal), (arxiv)
Large unions of generalized integral sections on elliptic surfaces, Transactions of the American Mathematical Society 378 (2025), 45-65, doi.org/10.1090/tran/9325.
First-order model theory and Kaplansky's stable finiteness conjecture, (with T. Ceccherini-Silberstein and M. Coornaert), (2023), Groups, Geometry, and Dynamics (2025), no. 2, pp. 495–503
Cellular automata over shifts and subhifts: Garden of Eden Theorem and surjunctivity, 65 pages, book chapter in GAGTA Book 3 : Automata and Languages, edited by Benjamin Steinberg, Walter de Gruyter GmbH & Co KG, 2024.
Space reduction techniques for the 3-wise Kemeny problem, (with S. Hamel), preprint (2023), (arxiv)
Optimal majority rules and quantitative Condorcet properties of setwise Kemeny voting schemes, extended abstract (short version) at AAMAS 2024, The 23rd International Conference on Autonomous Agents and Multi-Agent Systems, (with S. Hamel) (arxiv)
On the Garden of Eden theorem for non-uniform cellular automata, 2024 Nonlinearity 37 065012, DOI 10.1088/1361-6544/ad3ffa, (arxiv)
Some pointwise and decidable properties of non-uniform cellular automata, preprint, 24 pages, (arxiv)
Stable finiteness of twisted group rings and noisy linear cellular automata, Canadian Journal of Mathematics. 2024;76(4):1089-1108. doi:10.4153/S0008414X23000329 (online) (arxiv)
Invariant sets and nilpotency of endomorphisms of algebraic sofic shifts, (with T. Ceccherini-Silberstein and M. Coornaert), Ergodic Theory and Dynamical Systems, (2024) 44 (10), pp. 2859-2900. doi:10.1017/etds.2023.120
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
On linear non-uniform cellular automata: duality and dynamics, Linear Algebra and Its Applications, vol 699, 1 May 2024, Pages 78-103, (journal) (arxiv)
A geometric generalization of Kaplansky's direct finiteness conjecture, Proceedings of the American Mathematical Society 151 (2023), pp. 2863-2871. (arxiv)
Finiteness criteria and uniformity of integral sections in some families of abelian varieties, Geometriae Dedicata 217, 59 (2023). (journal) (arxiv)
On images of subshifts under embeddings of symbolic varieties, Ergodic Theory and Dynamical Systems (2023), 43 (9): pp. 3131-3149. doi:10.1017/etds.2022.48 (journal) (arxiv)
On invertible and stably reversible non-uniform cellular automata, Theoretical Computer Science (2022) (journal) (arxiv)
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)
Shadowing for families of endomorphisms of generalized group shifts, Discrete & Continuous Dynamical Systems, 2022, 42 (1) : 285-299 (online first) (arxiv)
On dynamical finiteness properties of algebraic group shifts, Israel Journal of Mathematics 252, 355–398 (2022) (journal), (arxiv)
On the Parshin-Arakelov theorem and integral sections on elliptic surfaces, Beiträge zur Algebra und Geometrie (2022), (journal) (arxiv)
On sofic groups, Kaplansky's conjectures, and endomorphisms of pro-algebraic groups, Journal of Algebra, 562 (2020), 537-586. (journal) (arxiv)
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)
Points entiers généralisés sur les variétés abéliennes, PhD thesis, University of Strasbourg, 2020 (pdf) HAL: tel-02515788
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
Extended majority rule and applications
On approximations of Kemeny aggregate rankings
Introduction à la théorie des formes modulaires, research internship master 1, supervised by Prof. F. Brumley (pdf)
Équirépartition des nombres premiers et théorème de Dirichlet, (with Y. Dadoun), mini-thesis, supervised by Prof. G. Chenevier (pdf)
Nombres congruents, (with Y. Dadoun), mini-thesis, supervised by Prof. E. Pirutka (pdf)
Exposant de Lyapounov et dynamique des systèmes linéaires aléatoires, (with. M. Hajji)), mini-thesis, supervised by Prof. Y. Chitour (pdf)