Bernard Morin

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Bernard Morin
Bernard Morin with Optiverse model.jpeg
Born(1931-03-03)March 3, 1931
Shanghai, China
DiedMarch 12, 2018(2018-03-12) (aged 87)
Paris, France
Alma materÉcole Normale Supérieure
Centre National de la Recherche Scientifique
Scientific career
InstitutionsInstitute for Advanced Study
University of Strasbourg
Doctoral advisorRené Thom
Looping animated cutaway view of Boy's surface.

Bernard Morin (French: [mɔʁɛ̃]; 3 March 1931 in Shanghai, China – 12 March 2018)[1] was a French mathematician, specifically a topologist.

Early life and education[edit]

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.[2] He received his Ph.D. in 1972 from the Centre National de la Recherche Scientifique.[3][2]


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.

He discovered the first parametrization of Boy's surface (earlier used as a half-way model) in 1978. His graduate student François Apéry later discovered (in 1986) another parametrization of Boy's surface, which conforms to the general method for parametrizing non-orientable surfaces.[4]

Morin worked at the Institute for Advanced Study in Princeton. Most of his career, though, he spent at the University of Strasbourg.


Morin's surface.

See also[edit]


  1. ^ "Décès de Bernard Morin". Société Mathématique de France (in French). Retrieved 2018-10-11.
  2. ^ a b Apéry, François. "BERNARD MORIN (1931-2018)" (PDF).
  3. ^ "Bernard Morin". Institute for Advanced Study. Retrieved 20 July 2017.
  4. ^ Weisstein, Eric W. "Boy Surface." From MathWorld--A Wolfram Web Resource.


External links[edit]