296:. Her mother was born in New York and her parents were Russian-Polish immigrants. At age 17, George emigrated to the US and became a successful dress manufacturer. He appreciated the opportunities from having a business but he wanted his daughters to focus on education. She has three children, Kenneth P. Birman, Deborah Birman Shlider, and Carl David Birman. Her late husband,
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included her in the 2020 class of AWM Fellows for "her groundbreaking research connecting diverse fields, and for her award-winning expository writing; for continuously supporting women in mathematics as an active mentor and a research role model; and for sponsoring multiple prize initiatives for
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to the mapping class group of a punctured version of the same surface. Known as the Birman Exact
Sequence, this has become one of the most important tools in the study of braids and surfaces. During the later part of this period she published a monograph, 'Braids, links, and mapping class groups'
327:
Birman received her B.A. (1948) in mathematics from
Barnard College and an M.A. (1950) in physics from Columbia University. After working in the industry from 1950 to 1960, she did a PhD in mathematics at the
441:
According to her MathSciNet author profile, Birman's scientific work includes 106 research publications and over 300 published reviews in Math
Reviews. She is the author of the research monograph
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Birman was a co-founder of
Mathematical Sciences Publishing, a non-profit publishing house. She was a member of the New York Academy of Sciences Human Rights of Scientists Committee.
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in 1971–72. This book is considered the first comprehensive treatment of braid theory, introducing the modern theory to the field, and contains the first complete proof of the
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In 2017, she endowed the Joan and Joseph Birman
Fellowship for Women Scholars at the American Mathematical Society to support mathematical research by mid-career women.
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1812:
Profiles of Women in
Mathematics, The Emmy Noether Lectures, Presented by the Association for Women in Mathematics, "Joan S. Birman: Studying Links via Braids"
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In 2003, Birman was elected to the
European Academy of Sciences. In 2005, she won the New York City Mayor's Award for Excellence in Science and Technology.
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363:(1968–1973). When she joined, she was the only female professor out of 160. In 1969 she published "On Braid Groups", which introduced a way to relate the
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After she earned her bachelor's degree from
Barnard, Birman accepted a position at the Polytechnic Research and Development Co., which was affiliated with
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316:, a coeducational institution in Swarthmore, Pennsylvania, and majored in mathematics. However, she disliked living in the dorms so she transferred to
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383:, where she served as Chairman of the Mathematics Department from 1973 to 1987, 1989 to 1991, and 1995 to 1998. She was a visiting scholar at the
471:; this lecture honors women who have made fundamental and sustained contributions to the mathematical sciences. In 1994, she was selected as a
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Birman, Joan; Margalit, Dan; Menasco, William (2016). "Efficient geodesics and an effective algorithm for distance in the complex of curves".
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Birman, Joan S.; Ko, Ki Hyoung; Lee, Sang Jin (2001). "The
Infimum, Supremum, and Geodesic Length of a Braid Conjugacy Class".
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Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin (1998). "A New
Approach to the Word and Conjugacy Problems in the Braid Groups".
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Birman, Joan S.; Lubotzky, Alex; McCarthy, John (1983). "Abelian and solvable subgroups of the mapping class groups".
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Birman, Joan S.; Menasco, William W. (1990). "Studying links via closed braids IV: composite links and split links".
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She supervised 21 doctoral students, and has a total of 50 academic descendants. Her doctoral students include
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established the Joan & Joseph Birman Research Prize in Topology and Geometry, first awarded in 2015.
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Lam, Wai-TIng (Jul–Aug 2009). "The Charm of Topology Dr. Joan Birman: Mathematics is very beautiful".
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She is included in a deck of playing cards featuring notable women mathematicians published by the
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Birman, Joan S.; Hilden, Hugh M. (1973). "On Isotopies of Homeomorphisms of Riemann Surfaces".
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1314:"American Mathematical Society – The Joan and Joseph Birman Fellowship for Women Scholars"
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Birman, Joan S.; Lin, Xiao-Song (1993). "Knot polynomials and Vassiliev's invariants".
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356:. She later worked from the Technical Research Group and the W. L. Maxson Corporation.
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237:(born May 30, 1927, in New York City) is an American mathematician, specializing in
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1518:"Prof. Joan S. Birman '48 elected to the American Academy of Arts and Sciences"
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Birman, Joan S.; Wrinkle, Nancy C. (2000). "On Transversally Simple Knots".
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1184:"Working at Their Full Potential: The Impact of the AMS Birman Fellowship"
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1786:"In Her Own Words: Six Mathematicians Comment on Their Lives and Careers"
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Birman, Joan S. (1985). "On the Jones polynomial of closed 3-braids".
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986:. Annals of Mathematical Studies. Princeton University Press. 1975.
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1968:
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648:"Knotted periodic orbits in dynamical systems—I: Lorenz's equation"
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based on a graduate course she taught as a visiting professor at
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Braid groups and their relationship to mapping class groups
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Members of the United States National Academy of Sciences
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Newsletter of the Association for Women in Mathematics
624:
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Institute for Advanced Study: A Community of Scholars
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Fellows of the American Academy of Arts and Sciences
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Columbia Graduate School of Arts and Sciences alumni
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List of Fellows of the American Mathematical Society
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In 2015, Birman was named an honorary member of the
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Fellows of the Association for Women in Mathematics
610:"Heegaard splittings of branched coverings of 𝑆³"
340:, graduating in 1968. Her dissertation was titled
2412:Courant Institute of Mathematical Sciences alumni
1762:
716:Transactions of the American Mathematical Society
614:Transactions of the American Mathematical Society
281:Her parents were George and Lillian Lyttle, both
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1388:"Noether Lectures 1987 Lecturer: Joan S. Birman"
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501:Birman received an honorary doctorate from the
2442:Institute for Advanced Study visiting scholars
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1260:Jackson, Allyn; Traynor, Lisa (January 2007).
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397:Birman was a founding editor of the journals
300:, was a physicist and a leading advocate for
241:. She has made contributions to the study of
2452:Fellows of the American Mathematical Society
1793:Notices of the American Mathematical Society
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1364:. Alfred P. Sloan Foundation. Archived from
1269:Notices of the American Mathematical Society
1248:
1039:
1037:
712:"Braids, link polynomials and a new algebra"
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359:Birman's first academic position was at the
288:. Her father was from Russia but grew up in
1605:Bulletin of the London Mathematical Society
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433:Birman was an AMS Council member at large.
2467:20th-century American women mathematicians
2402:21st-century American women mathematicians
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1584:Association for Women in Mathematics (AWM)
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1164:. Mathematical Sciences Research Institute
265:. Birman is research professor emerita at
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1362:"Alfred P. Sloan Foundation Past Fellows"
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477:John Simon Guggenheim Memorial Foundation
646:Birman, Joan S.; Williams, R.F. (1983).
555:
2437:Stevens Institute of Technology faculty
1774:MacTutor History of Mathematics Archive
1547:American Academy of Arts & Sciences
1510:
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503:Technion Israel Institute of Technology
444:Braids, Links, and Mapping Class Groups
417:Ruth Lyttle Satter Prize in Mathematics
320:, a women's only college affiliated to
14:
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1724:Braids, links and mapping class groups
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983:Braids, links and mapping class groups
672:
487:, "the highest award for mathematical
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710:Birman, Joan S.; Wenzl, Hans (1989).
510:American Academy of Arts and Sciences
411:in 1990, Birman donated funds to the
2462:Mathematicians from New York (state)
2397:21st-century American mathematicians
2392:20th-century American mathematicians
1694:"Mathematicians of EvenQuads Deck 1"
1653:Association for Women in Mathematics
1535:
1392:Association for Women in Mathematics
535:Association for Women in Mathematics
521:Association for Women in Mathematics
512:In 2013, she became a fellow of the
465:Association for Women in Mathematics
463:. In 1987, she was selected by the
1664:
1596:
1438:"New Points of View in Knot Theory"
1293:
1049:Biographies of Women Mathematicians
550:Association of Women in Mathematics
541:In 2021, Birman was elected to the
508:In 2012, Birman was elected to the
481:Mathematical Association of America
379:In 1973, she joined the faculty at
138:National Academy of Sciences member
24:
1132:
455:In 1974, Birman was selected as a
312:After high school, Birman entered
25:
2488:
1756:
1158:"Autobiography by Joan S. Birman"
729:10.1090/S0002-9947-1989-0992598-X
493:New Points of View in Knot Theory
273:, where she has been since 1973.
227:http://www.math.columbia.edu/~jb/
1417:John Simon Guggenheim Foundation
1220:"The Mathematics of Joan Birman"
1096:www-history.mcs.st-andrews.ac.uk
864:Journal of Differential Geometry
403:Algebraic and Geometric Topology
365:mapping class group of a surface
1814:Archived by the Wayback Machine
1746:10.1090/s0002-9904-1976-13937-7
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1472:10.1090/s0273-0979-1993-00389-6
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361:Stevens Institute of Technology
354:Brooklyn Polytechnic University
1674:. National Academy of Sciences
1237:
1176:
1116:"Joseph L. Birman (1927–2016)"
1108:
1065:"Home Page for Joan S. Birman"
1057:
450:
13:
1:
1442:Bull. Amer. Math. Soc. (N.S.)
1342:American Mathematical Society
1191:American Mathematical Society
1146:Mathematics Genealogy Project
1028:
639:10.1215/S0012-7094-83-05046-9
514:American Mathematical Society
413:American Mathematical Society
1799:(7): 702–706. September 1991
1498:European Academy of Sciences
1262:"Interview with Joan Birman"
665:10.1016/0040-9383(83)90045-9
543:National Academy of Sciences
473:Guggenheim Foundation Fellow
385:Institute for Advanced Study
307:
7:
2427:Columbia University faculty
1580:"AWM Birman Research Prize"
1016:
528:London Mathematical Society
336:) under the supervision of
10:
2493:
2477:21st-century American Jews
2407:20th-century American Jews
1611:(3): 548–556. 2016-03-28.
461:Alfred P. Sloan Foundation
1863:
1648:2020 Class of AWM Fellows
1603:"Honorary Members 2015".
1142:Joan Sylvia Lyttle Birman
966:10.1007/s00208-015-1357-y
627:Duke Mathematical Journal
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235:Joan Sylvia Lyttle Birman
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34:Joan Sylvia Lyttle Birman
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18:Joan Sylvia Lyttle Birman
1779:University of St Andrews
786:Inventiones Mathematicae
739:Inventiones Mathematicae
675:Inventiones Mathematicae
516:in the inaugural class.
419:in honor of her sister,
239:low-dimensional topology
2099:W. B. Raymond Lickorish
1569:, retrieved 2012-11-10.
1543:"Joan S. Lyttle Birman"
904:Advances in Mathematics
824:Advances in Mathematics
436:
415:(AMS) to establish the
387:in the summer of 1988.
2417:Barnard College alumni
927:10.1006/aima.2001.2010
886:10.4310/jdg/1090340880
847:10.1006/aima.1998.1761
255:geometric group theory
27:American mathematician
2027:Shreeram S. Abhyankar
1733:Bull. Amer. Math. Soc
1436:Birman, Joan (1993).
1162:Celbratio Mathematica
1069:www.math.columbia.edu
944:Mathematische Annalen
564:Annals of Mathematics
556:Selected publications
491:" for her 1993 essay
457:Sloan Research Fellow
399:Geometry and Topology
205:Efstratia Kalfagianni
2432:American topologists
2269:David Shea Vela-Vick
2052:1983 No award given.
2049:1982 No award given.
1765:Robertson, Edmund F.
1023:Birman–Wenzl algebra
370:Princeton University
251:mapping class groups
2321:Vladimir Pozdnyakov
2119:Jonathan M. Borwein
2093:David Allen Hoffman
1763:O'Connor, John J.;
1672:"2021 NAS Election"
1617:10.1112/blms/bdw014
1464:1993math......4209B
1053:Agnes Scott College
798:1993InMat.111..225B
761:1990InMat.102..115B
687:1985InMat..81..287B
483:awarded Birman the
324:, to live at home.
322:Columbia University
271:Columbia University
175:University of Haifa
171:Columbia University
2309:Daniel J. Velleman
2103:Kenneth C. Millett
2075:James H. Wilkinson
1726:by Joan S. Birman"
1092:"Birman biography"
950:(3–4): 1253–1279.
806:10.1007/BF01231287
769:10.1007/BF01233423
695:10.1007/BF01389053
489:expository writing
425:plant physiologist
421:Ruth Lyttle Satter
314:Swarthmore College
259:contact structures
210:JĂłzef H. Przytycki
2369:
2368:
2325:J. Michael Steele
2293:Susan H. Marshall
2265:Daniel Pomerleano
2245:Brian J. McCartin
2227:Andrew J. Simoson
2221:GĂĽnter M. Ziegler
2175:Carolyn S. Gordon
2057:R. Arthur Knoebel
2033:Neil J. A. Sloane
2021:W. Gilbert Strang
1975:Shiing-Shen Chern
1957:Joseph P. LaSalle
1935:Cornelius Lanczos
1899:Saunders Mac Lane
1875:T. H. Hildebrandt
1817:Joan S. Birman's
330:Courant Institute
263:dynamical systems
232:
231:
193:Doctoral students
147:Scientific career
129:Guggenheim Fellow
87:Courant Institute
16:(Redirected from
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2345:Matthew Crawford
2233:Andrew Granville
2205:Edward B. Burger
2163:Michael I. Rosen
2123:Peter B. Borwein
2109:Steven G. Krantz
2045:Kenneth I. Gross
2015:Lawrence Zalcman
1929:Richard H. Bruck
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1494:"Joan S. Birman"
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1413:"Joan S. Birman"
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633:(4): 1107–1120.
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620:: 315–352. 1975.
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469:Noether Lecturer
304:for scientists.
182:Doctoral advisor
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2331:Travis Kowalski
2297:Donald R. Smith
2217:Florian Pfender
2199:Thomas C. Hales
2135:Donald G. Saari
2115:David H. Bailey
1987:François Trèves
1981:Norman Levinson
1941:Philip J. Davis
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1856:Chauvenet Prize
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1193:. March 7, 2022
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586:10.2307/1970830
577:10.1.1.309.7235
558:
485:Chauvenet Prize
479:. In 1996, the
453:
439:
392:JĂłzef Przytycki
381:Barnard College
350:
318:Barnard College
310:
279:
267:Barnard College
214:
200:Tara E. Brendle
167:Barnard College
141:
119:Chauvenet Prize
84:
81:Barnard College
76:Alma mater
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2337:William Dunham
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2303:Mark Schilling
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2261:Herman Gluck
2251:Bjorn Poonen
2157:Eric Kostlan
2153:Alan Edelman
2140:
2009:Reuben Hersh
2005:Martin Davis
1999:Peter D. Lax
1993:Carl D. Olds
1953:Jack K. Hale
1801:. Retrieved
1796:
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1698:awm-math.org
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1524:. 2012-04-17
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302:human rights
280:
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233:
163:Institutions
146:
126:Sloan Fellow
102:Braid theory
50:May 30, 1927
2382:1927 births
2147:Tom Hawkins
2141:Joan Birman
2129:Barry Mazur
2069:George Miel
2039:Heinz Bauer
1963:Guido Weiss
1947:Leon Henkin
1911:Paul Halmos
1881:G. H. Hardy
1869:G. A. Bliss
1803:20 February
1372:20 February
1318:www.ams.org
1279:20 February
1227:AMS Notices
1197:October 20,
1168:20 February
1120:www.aps.org
1007:20 February
792:: 225–270.
745:: 115–139.
722:: 249–273.
451:Recognition
376:on braids.
247:3-manifolds
157:Mathematics
123:AAAS member
106:knot theory
68:Nationality
2376:Categories
2341:Ezra Brown
2281:Ravi Vakil
2193:Brian Wick
2189:Stan Wagon
2169:Don Zagier
1858:recipients
1718:Magnus, W.
1703:2022-06-18
1658:2019-11-08
1589:2022-12-01
1553:2021-02-20
1528:2021-02-20
1503:2021-02-20
1422:2021-02-20
1347:2023-03-27
1323:2018-04-02
1275:(1): 20–29
1125:2018-04-02
1101:2017-09-23
1074:2020-11-06
1029:References
286:immigrants
135:AWM Fellow
132:AMS Fellow
46:1927-05-30
1739:: 42–45.
1722:"Review:
1633:247694394
1625:0024-6093
1302:(4): 6–7.
974:119321516
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814:122687215
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572:CiteSeerX
308:Education
290:Liverpool
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1917:Mark Kac
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1678:26 April
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467:to be a
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