|Born||March 3, 1931|
|Died||March 12, 2018 (aged 87)|
|Alma mater||École Normale Supérieure|
Centre National de la Recherche Scientifique
|Institutions||Institute for Advanced Study|
University of Strasbourg
|Doctoral advisor||René Thom|
Early life and education
Morin lost his sight at the age of six due to glaucoma, but his blindness did not prevent him from having a successful career in mathematics. He received his Ph.D. in 1972 from the Centre National de la Recherche Scientifique.
Morin was a member of the group that first exhibited an eversion of the sphere, i.e., a homotopy (topological metamorphosis) which starts with a sphere and ends with the same sphere but turned inside-out. He also discovered the Morin surface, which is a half-way model for the sphere eversion, and used it to prove a lower bound on the number of steps needed to turn a sphere inside out.
Morin discovered the first parametrization of Boy's surface (earlier used as a half-way model), in 1978. His graduate student François Apéry, in 1986, discovered another parametrization of Boy's surface, which conforms to the general method for parametrizing non-orientable surfaces.
- Morin's surface.
- "Décès de Bernard Morin". Société Mathématique de France (in French). Archived from the original on 2018-10-12. Retrieved 2018-10-11.
- Apéry, François. "BERNARD MORIN (1931-2018)" (PDF). Société Mathématique de France (in French). Archived from the original (PDF) on 12 October 2018.
- "Bernard Morin". Institute for Advanced Study. Retrieved 20 July 2017. CS1 maint: discouraged parameter (link)
- Morin, Bernard (13 November 1978). "Équations du retournement de la sphère" [Equations of the sphere eversion]. C. R. Acad. Sci. Paris (in French): 879–882. Retrieved 26 February 2021.
- Weisstein, Eric W. "Boy Surface". Wolfram MathWorld.
- George K. Francis & Bernard Morin (1980) "Arnold Shapiro’s Eversion of the Sphere", Mathematical Intelligencer 2(4):200–3.