Guillaume Dumas
About me:
I am currently a Novikov Postdoctoral Fellow at the University of Maryland. I am interested in analysis on semisimple Lie groups and representations of Lie groups.
I obtained my Ph.D. in 2025 from Université Claude Bernard Lyon I, under the supervision of Mikael de la Salle at Institut Camille Jordan.
E-mail: gdumas at umd dot edu
Address:
William E. Kirwan Hall, Office 4305
4176 Campus Dr
College Park, MD 20742
Publications
Accepted papers
| 1. | Regularity of matrix coefficients of a compact symmetric pair of Lie groups |
| Trans. Amer. Math. Soc., 377(10):7421–7474, 2024 | |
| [Preprint] [Journal version] | |
| 2. | Cartan motion groups: regularity of K-finite matrix coefficients |
| accepted in Can. Math. Bull. | |
| [Preprint] |
Preprints
| 1. | On quasi-homomorphism rigidity for lattices in simple algebraic groups |
| [Preprint] | |
| 2. | Regularity of K-finite matrix coefficients of semisimple Lie groups |
| [Preprint] |
Others
My thesis on Some rigidity properties of semisimple groups can be downloaded here or on HAL.
Talks
| 1. | Séminaire d'analyse harmonique non commutative |
| LMNO, Caen (October, 2023) | |
| 2. | Séminaire des doctorants |
| ICJ, Lyon (December, 2023) | |
| 3. | Non commutative analysis on groups and quantum groups |
| Conference, Besançon (December, 2023) | |
| 4. | Séminaire des doctorants |
| I2M, Marseille (February, 2024) | |
| 5. | Séminaire d'algèbres d'opérateurs |
| IMJ-PRG, Paris (October, 2024) | |
| 6. | Séminaire Théorie de Lie, Géométrie et Analyse |
| IECL, Nancy (November, 2024) | |
| 7. | Arbre de Noël en géométrie non commutative |
| Institut Denis Poisson, Orléans (December, 2024) | |
| 8. | Séminaire géométrie, groupes et dynamique |
| ENS de Lyon, Lyon (January, 2025) | |
| 9. | Séminaire théorie spectrale et géométrie |
| Institut Fourier, Grenoble (February, 2025) | |
| 10. | Workshop Rigidity of isometric actions |
| CIRM, Marseille (March, 2025) | |
| 11. | Functional Analysis Seminar |
| University of Maryland, College Park (September, 2025) | |
| 12. | Analysis Seminar |
| University of Waterloo (November, 2025) |
Teaching
At University of Maryland
MATH 402 (Algebraic Structures) - Spring 2026
MATH 241H (Calculus III Honors) - Fall 2025
At Université Claude Bernard Lyon I
2024-2025
TD Analyse 4 (L2)
Colles en deuxième année cursus Prépa
2023-2024
TD Algèbre 2 pour mathématiciens (L1)
TD Analyse 4 (L2)
Colles en deuxième année cursus Prépa
2022-2023
TD Analyse 2 pour informaticiens (L1)
TD Maths complémentaires (L1 PCSI)
Colles en deuxième année cursus Prépa