Thomas Dreyfus


Thomas Dreyfus
Université de Strasbourg,
Institut de recherche Mathématique avancée, UMR 7501,
7 rue René Descartes, 67000 Strasbourg

Téléphone : 03 68 85 01 64
Mail : thomas.dreyfus@[nospam]ens-cachan.org

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Chargé de recherche CNRS à l'Institut de Recherche Mathématique Avancée, Université de Strasbourg.

Auparavant, j'ai fréquenté les universités de Paris 7 (thèse), Toulouse 3 et Lyon 1 (post-doctorat).

Domaine de recherche : Théorie de Galois différentielle, Calcul formel, Phénomène de Stokes, Équations aux q-différences, Déformations isomonodromiques, Théorèmes de Morales-Ramis, Équations de Mahler, Marches aléatoires.

Fields of mathematical interest: Differential Galois Theory, Computer algebra, Stokes phenomenom, q difference equations, Isomonodromic deformations, Morales-Ramis Theorems, Mahler equations, Random walks.

Séminaires, conférences


Enseignement

Je suis responsable du cours, équations sur les équations différentielles et fonctions spéciales pour les M1 magistère. Le polycopié est disponible ici.

Articles de recherche

Preprints

Publications

Journal of the European Mathematical Society (JEMS). arXiv

Springer Proceedings in Mathematics and Statistics. arXiv pdf of Maple worksheet

  • 20 Thomas Dreyfus, Amélie Trotignon, On the nature of four models of symmetric walks avoiding a quadrant.

Annals of Combinatorics. Vol. 25, (2021), no. 3, p. 617-644. arXiv

Mathematische Zeitschrift. Vol. 298, (2021), no. 3, p. 1751-1791. arXiv

Journal of the American Mathematical Society. Vol. 34, (2021), no. 2, p. 475-503. arXiv

  • 17 Carlos E. Arreche, Thomas Dreyfus, Julien Roques, Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions.

Journal de l'École polytechnique - Mathématiques. Vol. 8, (2021), p. 147-168. arXiv

Journal of Combinatorial Theory, Series A. Vol. 174, (2020), paper 105251, 25 pages. arXiv

  • 15 Thomas Dreyfus, Alberto Lastra, Stéphane Malek, On the multiple-scale analysis for some linear partial q-difference and differential equations with holomorphic coefficients.

Advances in Difference Equations. (2019), paper 326, 42 pages. arXiv

  • 14 Thomas Dreyfus, Kilian Raschel, Differential transcendence and algebraicity criteria for the series counting weighted quadrant walks.

Publications mathématiques de Besançon. (2019), no. 1 , p. 41-80. arXiv

Mathematics of Computation. Vol. 87, (2018), p. 2977-3021. arXiv

Inventiones Mathematicae. Vol. 213, (2018), no. 1, p. 139-203. arXiv

Journal of the European Mathematical Society (JEMS). Vol. 20, (2018), no. 9, p. 2209–2238. arXiv

  • 10 Thomas Dreyfus, Real difference Galois theory.

Proceedings of the American Mathematical Society. Vol. 146, (2018), no. 1, p. 43-54. arXiv

  • 9 Thomas Dreyfus, Isomonodromic deformation of q-difference equations and confluence.

Proceedings of the American Mathematical Society. Vol. 145, (2017), no. 3, p. 1109-1120. arXiv

  • 8 Thomas Dreyfus, Anton Eloy, q-Borel-Laplace summation for q-difference equations with two slopes.

Journal of Difference Equations and Applications. Vol. 22, (2016), no. 10, p. 1501-1511. arXiv

Journal of Symbolic Computation. Vol. 74, (2016), p. 537-560. arXiv

  • 6 Thomas Dreyfus, q-deformation of meromorphic solutions of linear differential equations.

Journal of Differential Equations. Vol. 259, (2015), no. 11, p. 5734-5768. arXiv

  • 5 Thomas Dreyfus, Julien Roques, Galois groups of difference equations of order two on elliptic curves.

Symmetry, Integrability and Geometry, Methods and Applications (SIGMA). Vol. 11, (2015), paper 003, 23 pages. arXiv

  • 4 Thomas Dreyfus, Building meromorphic solutions of q-difference equations using a Borel-Laplace summation.

International Mathematics Research Notices (IMRN). (2015), no. 15, p. 6562-6587. arXiv

  • 3 Thomas Dreyfus, Confluence of meromorphic solutions of q-difference equations.

Annales de l'institut Fourier (Grenoble). Vol. 65, (2015), no. 2, p. 431-507. arXiv

  • 2 Thomas Dreyfus, A density theorem for parameterized differential Galois theory.

Pacific Journal of Mathematics. Vol. 271, (2014), no. 1, p. 87-141. arXiv

  • 1 Thomas Dreyfus, Computing the Galois group of some parameterized linear differential equation of order two.

Proceedings of the American Mathematical Society. Vol. 142, (2014), no. 4, p. 1193-1207. arXiv

Autres

  • Thomas Dreyfus, Quelques applications de la théorie de Galois différentielle. Habilitation à diriger les recherches. HAL

  • Thomas Dreyfus, Phénomènes de Stokes et approche galoisienne des problèmes de confluence. Thèse de doctorat, sous la direction de Lucia Di Vizio. Version sans remerciements

  • Thomas Dreyfus, Groupes de Galois différentiels locaux. Mémoire de M2, sous la direction de Lucia Di Vizio. Version pdf

Co-auteurs