Irving Kaplansky

Irving Kaplansky
Irving Kaplansky
Born	March 22, 1917; Toronto
Died	June 25, 2006 (age 89); Los Angeles
Nationality	Canadian, American
Alma mater	University of Toronto; Harvard University
Known for	Erdős–Kaplansky theorem; Kaplansky density theorem; Kaplansky's game; Kaplansky's conjecture; Kaplansky's theorem on quadratic forms; Group theory; Hilbert space; Ring theory; Operator algebras; Homological algebra; Topological algebra; Game theory; Field theory
Awards	William Lowell Putnam Mathematical Competition (1938) ; Guggenheim Fellowship (1948) ; Jeffery–Williams Prize (1968) ; Honorary member of the London Mathematical Society (1987); Leroy P. Steele Prize (1989)
	Scientific career
Fields	Mathematics
Institutions	American Mathematical Society; Mathematical Sciences Research Institute; Institute for Advanced Study; University of Chicago; Columbia University; University of California, Berkeley
Doctoral advisor	Saunders Mac Lane
Doctoral students	Hyman Bass; Susanna S. Epp; Günter Lumer; Eben Matlis; Jacob Matijevic; Donald Ornstein; Ed Posner; Alex F. T. W. Rosenberg; Joseph J. Rotman; Judith D. Sally; Harold Widom

Irving Kaplansky (March 22, 1917 – June 25, 2006) was a mathematician, college professor, author, and amateur musician.^[2]

^ Cite error: The named reference mg was invoked but never defined (see the help page).
^ O'Connor, John J.; Robertson, Edmund F., "Irving Kaplansky", MacTutor History of Mathematics archive, University of St Andrews. http://www-history.mcs.st-andrews.ac.uk/Biographies/Kaplansky.html.

Irving Kaplansky

Born	March 22, 1917 Toronto
Died	June 25, 2006 (age 89) Los Angeles
Nationality	Canadian, American
Alma mater	University of Toronto Harvard University
Known for	Erdős–Kaplansky theorem Kaplansky density theorem Kaplansky's game Kaplansky's conjecture Kaplansky's theorem on quadratic forms Group theory Hilbert space Ring theory Operator algebras Homological algebra Topological algebra Game theory Field theory
Awards	William Lowell Putnam Mathematical Competition (1938) Guggenheim Fellowship (1948) Jeffery–Williams Prize (1968) Honorary member of the London Mathematical Society (1987) Leroy P. Steele Prize (1989)
Scientific career
Fields	Mathematics
Institutions	American Mathematical Society Mathematical Sciences Research Institute Institute for Advanced Study University of Chicago Columbia University University of California, Berkeley
Doctoral advisor	Saunders Mac Lane
Doctoral students	Hyman Bass Susanna S. Epp Günter Lumer Eben Matlis Jacob Matijevic Donald Ornstein Ed Posner Alex F. T. W. Rosenberg Joseph J. Rotman Judith D. Sally Harold Widom^[1]