Current Projects & Preprints
Research journal papers
| Title | Authors | Journal | Link | Implemented in formalized mathematics |
|---|---|---|---|---|
| Multi-centered dilatations, congruent isomorphisms and Rost double deformation space | A. Mayeux | Transformation Groups, (50p) doi.org/10.1007/s00031-024-09894-9 | Link | Partly |
| On multi-graded Proj schemes | A. Mayeux, S. Riche | Publications of the Research Institute for Mathematical Sciences, 62 (2026), no. 1, 115–176. | Link | Partly |
| Algebraic magnetism invariants of self-actions of diagonalizable monoid schemes | A. Mayeux | Semigroup Forum, 112 (2026), no. 2, 532–540. | Link | Not yet |
| Dilatations of categories | A. Mayeux | Higher Structures, 9 (2025), no. 2, 62–75. | Link | Not yet |
| Comparing Bushnell-Kutzko and Sécherre’s constructions of types for GL_N and its inner forms with Yu’s construction | A. Mayeux, Y. Yamamoto | Bulletin de la Société Mathématique de France, 152 (2024), no. 4, 785–855. | Link | Not yet |
| Néron blowups and low-degree cohomological applications | A. Mayeux, T. Richarz, M. Romagny | Algebraic Geometry, 10 (2023), no. 6, 729–753. | Link | Not yet |
| Bruhat-Tits theory from Berkovich’s point of view. Analytic filtrations | A. Mayeux | Annales Henri Lebesgue, 5 (2022), 813–839. | Link | Not yet |
Miscellanea
| Title | Authors | Venue | Year | Link |
|---|---|---|---|---|
| The mechanization of science illustrated by the Lean formalization of the multi-graded Proj construction | A. Mayeux, J. Zhang | Note of a talk at the seminar “Formalisation of mathematics with interactive theorem provers” University of Cambridge, and at the conference “Lie Theory and its applications in physics XVI”, Varna. | 2025 | Link |
| Algebraic magnetism invariants of a double scalar action on the projective plane | A. Mayeux | Note of a talk at the section “Moduli spaces in algebraic geometry” of the conference “Arithmetic and algebraic geometry” in Iasi. | 2025 | Link |
| Conjecture: the set of prime numbers is supernatural | A. Mayeux | Proceedings of the Bulgarian Academy of Sciences, 78 (2025), no. 11, 1585–1592. | 2025 | Link |
| Algebraic Magnetism | A. Mayeux | Report of the Conference “Algebraic Groups,” April 13–18, 2025, Oberwolfach, Germany. Organized by Philippe Gille, Friedrich Knop, and Peng Shan. Oberwolfach Reports, 22 (2025), no. 2. | 2025 | Link |
| A survey on algebraic dilatations | A. Dubouloz, A. Mayeux, J. P. dos Santos | Proceedings of the Conference “Langlands Program: Number Theory and Representation Theory,” November 27–December 2, 2022, Oaxaca, Mexico. Organized by Luis Lomelí, Anne‑Marie Aubert, Luis Dieulefait, and Manish Mishra. Fields Institute Monographs, to appear. | to appear | Link |
| Magnets and attractors of diagonalizable group schemes actions | A. Mayeux | Proceedings of the Conference “Lie Theory and Its Applications in Physics XV,” Varna, Bulgaria, June 2023. Edited by Vladimir Dobrev. Springer Proceedings in Mathematics & Statistics, Vol. 473, pp. 437–442, Springer, Singapore, 2025. | 2025 | Link |
| Comparison of Bushnell-Kutzko and Yu’s constructions of supercuspidal representations | A. Mayeux | Report of the Conference “New Developments in Representation Theory of p-adic Groups,” September 29–October 5, 2019, Oberwolfach, Germany. Organized by Jessica Fintzen, Wee Teck Gan, and Shuichiro Takeda. Oberwolfach Reports, 16 (2019), no. 4. | 2019 | Link |
| On the constructions of supercuspidal representations | A. Mayeux | PhD Thesis, Université Paris VII, Paris, France, 2019. | 2019 | Link |
Arnaud Mayeux 