James B. Carrell (born 1940) is an American and Canadian mathematician, who is currently an emeritus professor of mathematics at the University of British Columbia, Vancouver, British Columbia, Canada.

[1] His areas of research are algebraic geometry, Lie theory, transformation groups and differential geometry.

He obtained his Ph.D. at the University of Washington (Seattle) under the supervision of Allendoefer.

[2] In 1971, together with Jean Dieudonné, he received the Leroy P. Steele Prize for the article Invariant theory, old and new.

The Carrell–Liebermann theorem on the zero set of a holomorphic vector field is used in complex algebraic geometry.