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Joan Birman

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Joan Sylvia Lyttle Birman
Kamundagan (1927-05-30) Mayo 30, 1927 (edad 97)
New York City, New York
NasyunalidadAmerican
Alma materB.A., Barnard College, 1948
Ph.D., Courant Institute (NYU), 1968
Midbid bilangBraid theory, knot theory
Mga gawad
  • Chauvenet Prize
  • AAAS member
  • Sloan Fellow
  • Guggenheim Fellow
  • AMS Fellow
  • AWM Fellow
  • National Academy of Sciences member
Karera sa siyensya
LadoMathematics
InstitusyonBarnard College, Columbia University
Doctoral advisorWilhelm Magnus
Doctoral student
Websityo
http://www.math.columbia.edu/~jb/

Si Joan Sylvia Lyttle Birman (ipinangaki kang May 30, 1927, sa New York City) sarong American matematiko na nag espesialisar sa low-dimensional topology. Nagkuntibwar sia sa pag-aadal kan manungod sa knots, 3-manifolds, mapping class groups of surfaces, geometric group theory, contact structures and dynamical systems. Si Birman sarong retiradong propesor sa Barnard College, Columbia University, na pinagtukduan niya puon kang taon 1973.

An saiyang mga magurang iyo sinda George asin Lillian Little, mga imigranteng Jewish. An saiyang ama taga - Rusya alagad nagdakula sa Liverpool, Inglaterra. An saiyang ina namundag sa Nueva York asin an saiyang mga magurang mga imigranteng Ruso-Polinesyo. Sa edad na 17, si George nagbalyo sa US asin nagin matrayumpong paragibo nin gubing. Inapresyar nia an mga oportunidad na magkaigwa nin negosyo alagad gusto nia na an saiyang mga aking babae magkonsentrar sa edukasyon. Igwa siyang tolong aki, sinda Kenneth P. Birman, Debora Birman Shlider, asin Carl David Birman. An saiyang huring agom, si Joseph Birman, sarong pisiko asin pangenot na parasuportar sa mga diretso nin tao para sa mga sientista.

Pakatapos nin haiskul, si Birman naglaog sa Swarthmore College, sarong institusyon nin pagkolehiyo sa Swarthmore, Pennsylvania, asin mayor sa matematika. Alagad, habo niya mag erok sa mga dormitoryo kaya nagbalyo siya sa Barnard College, solong kolehiyo na para sana sa mga kababaihan igdi sa Columbia University, na nagtutugot na mag-istar sa harong.

Mga napiling publikasyon

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  • On Isotopies of Homeomorphisms of Riemann Surfaces. 1973. 
  • Heegaard splittings of branched coverings of 𝑆³. 1975. https://www.ams.org/journals/tran/1975-213-00/S0002-9947-1975-0380765-8/. 
  • Abelian and solvable subgroups of the mapping class groups. 1983. 
  • Knotted periodic orbits in dynamical systems—I: Lorenz's equation. 1983. 
  • On the Jones polynomial of closed 3-braids. 1985. 
  • Braids, link polynomials and a new algebra. 1989. 
  • Studying links via closed braids IV: composite links and split links. 1990. 
  • Knot polynomials and Vassiliev's invariants. 1993. 
  • A New Approach to the Word and Conjugacy Problems in the Braid Groups. 1998. 
  • On Transversally Simple Knots. 2000. 
  • The Infimum, Supremum, and Geodesic Length of a Braid Conjugacy Class. 2001. 
  • Efficient geodesics and an effective algorithm for distance in the complex of curves. 2016. 
  • Braids, links and mapping class groups. Annals of Mathematical Studies. Princeton University Press. 1975. ISBN 978-0691081496. MR 0375281. Retrieved 20 February 2021. [1]
  1. Review: Braids, links and mapping class groups by Joan S. Birman. https://www.ams.org/journals/bull/1976-82-01/S0002-9904-1976-13937-7/S0002-9904-1976-13937-7.pdf.