Curriculum vitae

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ruben.louis@mathematik.uni-goettingen.de / rlouis@illinois.edu /  louisruben96@yahoo.com
Born in Torbeck, Haiti
Grade : Ph.D. in Mathematics, University of Lorraine, France
Defense date : November 12th, 2022
Position : Postdoctoral Fellow, University of Illinois Urbana–Champaign (UIUC)

Education & Research Positions

  • 2013-2017 : École Normale Supérieure, Haıti Undergraduate studies.
  • 2017-2019 : École Normale Supérieure, Haıti/Université de Poitiers, Master Degree.
  • 2019 – Nov. 2022 : Lorraine University PhD, under the direction of C. Laurent-Gengoux.
  • 2022–2023 : Temporary Teaching and Research Attaché (ATER), Université de Lorraine, France.
  • 2023-2025 : Jilin university (China) and Göttingen university, Postdoctoral fellow.
  • 2025–present : J. L. Doob Postdoctoral Fellow, University of Illinois Urbana–Champaign (USA)

Various :  PHP, C, C++, Python.
Language : English (fluent), French (fluent), Haitian Creole (native).

Publications

Master Memoirs
[1]: Résolution de l’équation des ondes (Master 1).
[2]: Structures de Poisson et systèmes intégrables (Master 2), under the direction of Pol
Vanhaecke.

PhD

[3]: Universal higher Lie algebras of singular spaces and their symmetries, under the direction of Camille Laurent-Gengoux.

Research publications

[4]: (With Camille Laurent-Gengoux) Acyclic Lie ∞-algebroids ≃ Lie-Rinehart algebras,
Journal of Algebra, Vol. 594, (2022), p. 1-53. ORCID: 0000-0002-3582-7994

[5]: On symmetries of singular foliations. Journal of Geometry and Physics, page
104833, 2023.

[6]: A series of Nash resolutions of a singular foliation. J. Noncommut. Geom. 20 (2026), no. 2, pp. 745–785.

[7]: (with Camille Laurent-Gengoux, Leonid Ryvkin)  An invitation to singular foliations “Poisson geometry CRM, Barcelona 2022”. In “Advanced Courses in Mathematics – CRM Barcelona. Birkhäuser Cham, 2025. 1st edition. ISBN 978-3-031-86388-2 (softcover), ISBN 978-3-031-86657-9.

Consisting of three chapters, each assigned a DOI:

  • C. Laurent-Gengoux, R. Louis, L. Ryvkin, What Is a Singular Foliation ?, in Advances in Poisson Geometry, Advanced Courses in Mathematics — CRM Barcelona, Birkhäuser, Cham, 2025. https://doi.org/10.1007/978-3-031-86657-9_3
  •  C. Laurent-Gengoux, R. Louis, L. Ryvkin, Canonical Geometric and Algebraic Structures Hidden Behind a Singular Foliation, in Advances in Poisson Geometry, Advanced Courses in Mathematics — CRM Barcelona, Birkhäuser, Cham, 2025.
    https://doi.org/10.1007/978-3-031-86657-9_4
  • C. Laurent-Gengoux, R. Louis, L. Ryvkin, State of the Art and Open Questions, in Advancesin Poisson Geometry, Advanced Courses in Mathematics — CRM Barcelona, Birkhäuser, Cham, 2025. https://doi.org/10.1007/978-3-031-86657-9_5

[8]: On Nash resolution of (singular) Lie algebroids. Math. Z. 311, 35 (2025). https://doi.org/10.1007/s00209-025-03825-4

[9]: (With Camille Laurent-Gengoux), The holonomy Lie $\infty$-groupoid of a singular foliation I, 2025, Hal-05010954v1.

[10]:  On longitudinal differential operators and Nash blowups, Differ. Geom. Appl.
(2026), https://doi.org/10.1016/j.difgeo.2026.102384.

[11]: With A. Hancharuk, On construction of differential ℤ-graded varieties, arXiv :2512.23148, 2026. (Submitted)

Conference Participation

Teaching Experiences & seminars

  • 2018-2019 : Teaching assistant (TA) in Calculus, Math. Dept. ENS, Haiti.
  • 2019-2023 :  Statistics and optimization course (TA) applied to economics for first-year students, Law and Economics Dept., U. Lorraine.
  • 2019-2023 : Lectures and exercises classes, Computer Science Dept., U. Lorraine.
  • 2019-2023 : Exercises classes in statistics, Law and Economics Dept., U. Lorraine.
  • 2020-2023 : Supervision of third-year student memoirs, Math. Dept., U. Lorraine
  • 2021-2023 : TA in affine geometry, Math. Dept., U. Lorraine.
  • 2023-2024:  Introduction to singular foliations: weekly seminar at Math. Dept. of Jilin University.
  • 2023-2024:  Differential geometry (replacing Prof. Dr. Chenchang Zhu): first-year Master student at Math. Dept. of Göttingen University.
  • 2024–2025: Regular Foliations (course), M1 & M2, Dept. of Mathematics, University of Göttingen.
  • 2025–2026: Introduction to Advanced Mathematics, MATH 314, Dept. of Mathematics, UIUC.
  • 2025–2026: Calculus II, Dept. of Mathematics, MATH 212, UIUC

Research groups
2020-2021 : Member of MITI 80Prime CNRS project “Granum”.
2022-2024 : Member of the Franco-German PHC project ”Procope”.
Present : Sfars online seminar on foliations.
Present : Workshop on “n-pletic manifolds and higher structures”, IECL Lorraine.      Present : Higher Structures seminar, Math Dept of Göttingen University.

Awards