"Pontryagin" redirects here. Not to be confused with Portnyagin.
Lev Pontryagin
Lev Semyonovich Pontryagin (left)
Born
(1908-09-03)3 September 1908
Moscow, Russian Empire
Died
3 May 1988(1988-05-03) (aged 79)
Moscow, Soviet Union
Nationality
Soviet Union
Known for
Pontryagin duality Pontryagin class Pontryagin cohomology operation Pontryagin's maximum principle Andronov–Pontryagin criterion
Scientific career
Fields
Mathematics
Doctoral advisor
Pavel Alexandrov
Doctoral students
Dmitri Anosov Vladimir Boltyansky Revaz Gamkrelidze Mikhail Postnikov Mikhail Zelikin
Lev Semyonovich Pontryagin (Russian: Лев Семёнович Понтрягин, also written Pontriagin or Pontrjagin, first name sometimes anglicized as Leon) (3 September 1908 – 3 May 1988) was a Soviet mathematician. Completely blind from the age of 14, he made major discoveries in a number of fields of mathematics, including algebraic topology, differential topology and optimal control.
Lev Semyonovich Pontryagin (Russian: Лев Семёнович Понтрягин, also written Pontriagin or Pontrjagin, first name sometimes anglicized as Leon) (3 September...
mathematics, the Pontryagin classes, named after LevPontryagin, are certain characteristic classes of real vector bundles. The Pontryagin classes lie in...
theorem is a special case of this theorem. The subject is named after LevPontryagin who laid down the foundations for the theory of locally compact abelian...
mathematics, the Thom space, Thom complex, or Pontryagin–Thom construction (named after René Thom and LevPontryagin) of algebraic topology and differential...
deriving control policies. The method is largely due to the work of LevPontryagin and Richard Bellman in the 1950s, after contributions to calculus of...
In mathematics, the Pontryagin product, introduced by LevPontryagin (1939), is a product on the homology of a topological space induced by a product on...
subsequently further developed, particularly by Pavel Alexandrov and LevPontryagin. It applies to the homology theory properties of the complement of a...
death. Among the students of P. S. Alexandrov, the most famous are LevPontryagin, Andrey Tychonoff and Aleksandr Kurosh. The older generation of his...
Structurally stable systems were introduced by Aleksandr Andronov and LevPontryagin in 1937 under the name "systèmes grossiers", or rough systems. They...
Neisendorfer Emmy Noether Sergei Novikov Grigori Perelman Henri Poincaré LevPontryagin Nicolae Popescu Mikhail Postnikov Daniel Quillen Jean-Pierre Serre Isadore...
can be stated more simply in terms of cohomology. In 1934, LevPontryagin proved the Pontryagin duality theorem; a result on topological groups. This (in...
and a laureate of the USSR State Prize (1976). He was a student of LevPontryagin. In 2014, he died at the age of 77. Anosov diffeomorphism Anosov map...
Kuhn László Lovász David Luenberger Arkadi Nemirovski Yurii Nesterov LevPontryagin R. Tyrrell Rockafellar Naum Z. Shor Albert Tucker Convex programming...
Luzin's former students Lazar Lyusternik and Lev Schnirelmann along with Alexander Gelfond and LevPontryagin claimed that “there appeared active counter-revolutionaries...
Physicist who went blind at forty-two when he gazed too long at the sun. LevPontryagin – Soviet mathematician who went blind at fourteen. He continued mathematical...
on 24 September 1938, for reasons that are not clear. According to LevPontryagin's memoir from 1998, Schnirelmann gassed himself, due to depression brought...
between bordism and homology. Bordism was explicitly introduced by LevPontryagin in geometric work on manifolds. It came to prominence when René Thom...
abstract algebra and algebraic geometry. She worked with the topologists LevPontryagin and Nikolai Chebotaryov, who later praised her contributions to the...
of Z-transform in control theory (invented by Laplace) in the 1950s. LevPontryagin introduced the maximum principle and the bang-bang principle. Pierre-Louis...
He graduated from Moscow University in 1948, where his advisor was LevPontryagin. He defended his "Doktor nauk in physics and mathematics" (higher doctorate)...
surface. Blind mathematicians: Leonhard Euler, Nicholas Saunderson, LevPontryagin, Louis Antoine, Zachary Battles "Décès de Bernard Morin". Société Mathématique...