Bernard Morin

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Bernard Morin
Born 1931 (age 86–87)
Shanghai, China
Nationality French
Alma mater École Normale Supérieure
Centre National de la Recherche Scientifique
Scientific career
Fields Mathematics
Institutions Institute for Advanced Study
University of Strasbourg
Doctoral advisor René Thom
Looping animated cutaway view of Boy's surface.

Bernard Morin (French: [mɔʁɛ̃]; born 1931) is a French retired mathematician, specifically a topologist.

Early life and education[edit]

Morin has been blind since age 6 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.[1]


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.[2]

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. ^ "Bernard Morin". Institute for Advanced Study. Retrieved 20 July 2017. 
  2. ^ Weisstein, Eric W. "Boy Surface." From MathWorld--A Wolfram Web Resource.


External links[edit]