Joan Sylvia Lyttle Birman is an American mathematician who studies knots and braids, and related subjects.
Dan Margalit, The Mathematics of Joan Birman, Notices of the AMS 66 3 (2019) [pdf, pdf]
Introducing what came to be called Birman-Hilden theory on mapping class groups of surfaces related to those of their branched covers:
Joan S. Birman, Hugh M. Hilden: On the Mapping Class Group of Closed Surfaces as Covering Spaces, in: Advances in the Theory of Riemann Surfaces, Annals of Mathematics Studies 66, Princeton University Press (1971) 81-115 [doi:10.1515/9781400822492-007]
Joan S. Birman, Hugh M. Hilden: On isotopies of homeomorphisms of Riemann surfaces, Annals of Mathematics 97 3 (1973) 424-439 [doi:10.2307/1970830, jstor:1970830]
Joan Birman, Hugh Hilden: Erratum to “Isotopies of homeomorphisms of Riemann surfaces”, Ann. of Math. 185 1 (2017) 345-345 [doi:10.4007/annals.2017.185.1.9, pdf]
recalled in
Original proof that braid groups are given by mapping class group of punctured surfaces:
On braid groups, links and mapping class groups:
On braid groups, braid representations and some knot theory:
Last revised on March 1, 2026 at 17:37:33. See the history of this page for a list of all contributions to it.