Ellis Kolchin

Ellis Robert Kolchin (April 18, 1916 – October 30, 1991) 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.

Ellis Kolchin
Born	April 18, 1916 New York City, USA
Died	October 30, 1991 (aged 75) New York City, USA
Nationality	American
Alma mater	Columbia University
Known for	Lie–Kolchin theorem Kolchin topology
Scientific career
Fields	Mathematics
Institutions	Columbia University
Doctoral advisor	Joseph Ritt
Doctoral students	Azriel Rosenfeld Irving Adler

Kolchin worked on differential algebra and its relation to differential equations, and founded the modern theory of linear algebraic groups. His doctoral students include Azriel Rosenfeld and Irving Adler.

See also

• Kolchin topology
• Lie–Kolchin theorem
• Picard–Vessiot theory

Publications

• Kolchin, E. R. (1985), Differential algebraic groups, Pure and Applied Mathematics, 114, Boston, MA: Academic Press, ISBN 978-0-12-417640-9, MR 0776230
• Kolchin, E. R. (1973), Differential algebra and algebraic groups, Pure and Applied Mathematics, 54, Boston, MA: Academic Press, ISBN 978-0-12-417650-8, MR 0568864
• Kolchin, Ellis (1999), Selected works of Ellis Kolchin with commentary, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-0542-8, MR 1677530[1]

References

1. Magid, Andy R. (2000). "Review: Selected works of Ellis Kolchin, by H. Bass, A. Buium, and P.J. Cassidy (eds.)" (PDF). Bull. Amer. Math. Soc. (N.S.). 37 (3): 337–342. doi:10.1090/s0273-0979-00-00862-4.

• Bass, Hyman; Cassidy, Phyllis J.; Kovacic, Jerald, eds. (1977), Contributions to algebra, A collection of papers dedicated to Ellis Kolchin, New York: Academic Press [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-080550-1, MR 0457031
• Bass, Hyman; Cassidy, Phyllis (1992), "Ellis Kolchin (1916--1991)", Notices of the American Mathematical Society, 39 (6): 599–600, ISSN 0002-9920, MR 1170740
• Borel, Armand (2001), Essays in the history of Lie groups and algebraic groups, History of Mathematics, 21, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-0288-5, MR 1847105
• Hevesi, Dennis (November 3, 1991), "Prof. Ellis R. Kolchin Dies at 75; A Shaper of Differential Algebra", New York Times obituary
• O'Connor, John J.; Robertson, Edmund F., "Ellis Kolchin", MacTutor History of Mathematics archive, University of St Andrews.

External links

• Ellis Kolchin at the Mathematics Genealogy Project