Celebratio Mathematica

Joan S. Birman

Interview with Joan Birman

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J. S. Birman: “On Siegel’s mod­u­lar group,” Math. Ann. 191 (1971), pp. 59–​68. MR 0280606 Zbl 0208.​10601 article

J. S. Birman and H. M. Hilden: “On the map­ping class groups of closed sur­faces as cov­er­ing spaces,” pp. 81–​115 in Ad­vances in the the­ory of Riemann sur­faces (Stony Brook, NY, 1969). Edi­ted by L. V. Ahlfors, L. Bers, H. M. Far­kas, R. C. Gun­ning, I. Kra, and H. E. Rauch. An­nals of Math­em­at­ics Stud­ies 66. Prin­ceton Uni­versity Press, 1971. MR 0292082 Zbl 0217.​48602 incollection

J. S. Birman: Braids, links, and map­ping class groups. An­nals of Math­em­at­ics Stud­ies 82. Prin­ceton Uni­versity Press, 1974. Based on lec­ture notes by James Can­non. An er­rat­um to The­or­em 2.7 is giv­en in Can. J. Math. 34:6 (1982). MR 0375281 Zbl 0305.​57013 book

J. S. Birman and R. Craggs: “The \( \mu \)-in­vari­ant of 3-man­i­folds and cer­tain struc­tur­al prop­er­ties of the group of homeo­morph­isms of a closed, ori­ented 2-man­i­fold,” Trans. Am. Math. Soc. 237 (March 1978), pp. 283–​309. MR 0482765 Zbl 0383.​57006 article

J. S. Birman and X.-S. Lin: “Knot poly­no­mi­als and Vassiliev’s in­vari­ants,” In­vent. Math. 111 : 2 (1993), pp. 225–​270. MR 1198809 Zbl 0812.​57011 article

J. S. Birman and M. D. Hirsch: “A new al­gorithm for re­cog­niz­ing the un­knot,” Geom. To­pol. 2 (1998), pp. 175–​220. MR 1658024 Zbl 0955.​57005 article

J. S. Birman and W. W. Menasco: “Sta­bil­iz­a­tion in the braid groups, I: MT­WS,” Geom. To­pol. 10 : 1 (2006), pp. 413–​540. MR 2224463 Zbl 1128.​57003 article

J. S. Birman and W. W. Menasco: “Sta­bil­iz­a­tion in the braid groups, II: Trans­vers­al sim­pli­city of knots,” Geom. To­pol. 10 : 3 (2006), pp. 1425–​1452. MR 2255503 Zbl 1130.​57005 ArXiv math.​GT/​0310280 article