Ellis Kolchin
Encyclopedia
Ellis Robert Kolchin was an American mathematician at Columbia University
. Kolchin earned a doctorate in mathematics from Columbia University in 1941 under supervision of Joseph Ritt
. He was awarded a Guggenheim Fellowship
in 1954 and 1961.
Kolchin worked on differential algebra and its relation to differential equations, and founded the modern theory of linear algebraic group
s.
Columbia University
Columbia University in the City of New York is a private, Ivy League university in Manhattan, New York City. Columbia is the oldest institution of higher learning in the state of New York, the fifth oldest in the United States, and one of the country's nine Colonial Colleges founded before the...
. Kolchin earned a doctorate in mathematics from Columbia University in 1941 under supervision of Joseph Ritt
Joseph Ritt
Joseph Fels Ritt was an American mathematician at Columbia University in the early 20th century.After beginning his undergraduate studies at City College of New York, Ritt received his B.A. from George Washington University in 1913. He then earned a doctorate in mathematics from Columbia...
. He was awarded a Guggenheim Fellowship
Guggenheim Fellowship
Guggenheim Fellowships are American grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts." Each year, the foundation makes...
in 1954 and 1961.
Kolchin worked on differential algebra and its relation to differential equations, and founded the modern theory of linear algebraic group
Linear algebraic group
In mathematics, a linear algebraic group is a subgroup of the group of invertible n×n matrices that is defined by polynomial equations...
s.
See also
- Kolchin topology
- Lie–Kolchin theoremLie–Kolchin theoremIn mathematics, the Lie–Kolchin theorem is a theorem in the representation theory of linear algebraic groups; Lie's theorem is the analog for linear Lie algebras....
- Picard–Vessiot theoryPicard–Vessiot theoryIn differential algebra, Picard–Vessiot theory is the study of the differential field extension generated by the solutions of a linear differential equation, using the differential Galois group of the field extension. A major goal is to describe when the differential equation can be solved by...