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Joan Birman Joan Sylvia Lyttle Birman (born May 30, 1927) is an American mathematician, specializing in braid theory and knot theory. Her book ''Braids, Links, and Mapping Class Groups'' has become a standard introduction, with many of today's researchers having learned the subject through it. Birman is currently Research Professor Emerita at Barnard College, Columbia University, where she has been since 1973. ==Education== Birman received her B.A. (1948) in mathematics from Barnard College and an M.A. (1950) from Columbia University. She received her Ph.D. in 1968 from the Courant Institute (NYU) under the supervision of Wilhelm Magnus. Her dissertation was titled ''Braid groups and their relationship to mapping class groups''.
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