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Celebratio Mathematica

Joan S. Birman

Complete Bibliography

[1] J. S. Birman: Braid groups and their re­la­tion­ship to map­ping class groups. Ph.D. thesis, New York Uni­versity, 1968. Ad­vised by W. Mag­nus. MR 2617171 phdthesis

[2] J. S. Birman: “On braid groups,” Comm. Pure Ap­pl. Math. 22 (January 1969), pp. 41–​72. MR 0234447 Zbl 0157.​30904 article

[3] J. S. Birman: “Auto­morph­isms of the fun­da­ment­al group of a closed, ori­ent­able 2-man­i­fold,” Proc. Am. Math. Soc. 21 : 2 (May 1969), pp. 351–​354. MR 0239593 Zbl 0175.​50103 article

[4] J. S. Birman: “Map­ping class groups and their re­la­tion­ship to braid groups,” Comm. Pure Ap­pl. Math. 22 : 2 (March 1969), pp. 213–​238. MR 0243519 Zbl 0167.​21503 article

[5] J. S. Birman: “Non-con­jug­ate braids can define iso­top­ic knots,” Comm. Pure Ap­pl. Math. 22 (March 1969), pp. 239–​242. MR 0244985 Zbl 0187.​45502 article

[6] J. S. Birman: “Abeli­an quo­tients of the map­ping class group of a 2-man­i­fold,” Bull. Am. Math. Soc. 76 : 1 (1970), pp. 147–​150. MR 0249603 Zbl 0191.​22401 article

[7] J. Birman and W. Mag­nus: “Dis­crim­in­ant and pro­ject­ive in­vari­ants of bin­ary forms,” Comm. Pure Ap­pl. Math. 23 (May 1970), pp. 269–​275. A cor­rec­tion to this art­icle was pub­lished in Comm. Pure Ap­pl. Math. 26 (1973). MR 0259903 Zbl 0189.​55002 article

[8] J. S. Birman: “Er­rata: ‘Abeli­an quo­tients of the map­ping class group of a 2-man­i­fold’,” Bull. Am. Math. Soc. 77 : 3 (1971), pp. 479. Er­rata to an art­icle pub­lished in Bull. Am. Math. Soc. 76:1 (1970). MR 0267091 Zbl 0213.​25001 article

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

[10] 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

[11] J. S. Birman: “A nor­mal form in the homeotopy group of a sur­face of genus 2, with ap­plic­a­tions to 3-man­i­folds,” Proc. Am. Math. Soc. 34 : 2 (August 1972), pp. 379–​384. MR 0295308 Zbl 0253.​55001 article

[12] J. S. Birman and D. R. J. Chilling­worth: “On the homeotopy group of a non-ori­ent­able sur­face,” Proc. Camb. Philos. Soc. 71 : 3 (May 1972), pp. 437–​448. An er­rat­um to this art­icle was pub­lished in Math. Proc. Camb. Philos. Soc. 136:2 (2004). MR 0300288 Zbl 0232.​57001 article

[13] J. S. Birman and H. M. Hilden: “Iso­top­ies of homeo­morph­isms of Riemann sur­faces and a the­or­em about Artin’s braid group,” Bull. Am. Math. Soc. 78 : 6 (November 1972), pp. 1002–​1004. MR 0307217 Zbl 0255.​57002 article

[14] J. S. Birman and H. M. Hilden: “Lift­ing and pro­ject­ing homeo­morph­isms,” Arch. Math. (Basel) 23 : 1 (1972), pp. 428–​434. MR 0321071 Zbl 0247.​55001 article

[15] J. S. Birman and H. M. Hilden: “The homeo­morph­ism prob­lem for \( S^3 \),” Bull. Am. Math. Soc. 79 : 5 (September 1973), pp. 1006–​1010. MR 0319180 Zbl 0272.​57001 article

[16] J. Birman and W. Mag­nus: “Cor­rec­tion to: ‘Dis­crim­in­ant and pro­ject­ive in­vari­ants of bin­ary forms’,” Comm. Pure Ap­pl. Math. 26 (January 1973), pp. 85. Cor­rec­tion to an art­icle pub­lished in Comm. Pure Ap­pl. Math. 23 (1970). MR 0325533 Zbl 0252.​55006 article

[17] J. S. Birman and H. M. Hilden: “On iso­top­ies of homeo­morph­isms of Riemann sur­faces,” Ann. Math. (2) 97 : 3 (May 1973), pp. 424–​439. MR 0325959 Zbl 0237.​57001 article

[18] J. S. Birman: “An in­verse func­tion the­or­em for free groups,” Proc. Am. Math. Soc. 41 (1973), pp. 634–​638. MR 0330295 Zbl 0274.​20032 article

[19] J. S. Birman: “Plat present­a­tions for link groups,” Comm. Pure Ap­pl. Math. 26 (September 1973), pp. 673–​678. Col­lec­tion of art­icles ded­ic­ated to Wil­helm Mag­nus. MR 0336734 Zbl 0266.​20027 article

[20] J. S. Birman: “Poin­caré’s con­jec­ture and the homeotopy group of a closed, ori­ent­able 2-man­i­fold,” pp. 214–​221 in Col­lec­tion of art­icles ded­ic­ated to the memory of Hanna Neu­mann, VI, published as J. Aus­tral. Math. Soc. 17 : 2. Aus­trali­an Na­tion­al Uni­versity (Can­berra), March 1974. MR 0343255 Zbl 0282.​55003 incollection

[21] 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

[22] J. S. Birman: “Map­ping class groups of sur­faces: A sur­vey,” pp. 57–​71 in Dis­con­tinu­ous groups and Riemann sur­faces (Col­lege Park, MD, 21–25 May 1973). Edi­ted by L. Green­berg. An­nals of Math­em­at­ics Stud­ies 79. Prin­ceton Uni­versity Press, 1974. MR 0380762 Zbl 0297.​57001 incollection

[23] J. S. Birman: “On the equi­val­ence of Hee­gaard split­tings of closed, ori­ent­able 3-man­i­folds,” pp. 137–​164 in Knots, groups, and 3-man­i­folds: Pa­pers ded­ic­ated to the memory of R. H. Fox. Edi­ted by L. P. Neuwirth. An­nals of Math­em­at­ics Stud­ies 84. Prin­ceton Uni­versity Press, 1975. MR 0375318 Zbl 0337.​57002 incollection

[24] J. S. Birman and H. M. Hilden: “Hee­gaard split­tings of branched cov­er­ings of \( S^3 \),” Trans. Am. Math. Soc. 213 (November 1975), pp. 315–​352. MR 0380765 Zbl 0312.​55004 article

[25] J. S. Birman: “A note on the con­struc­tion of simply-con­nec­ted 3-man­i­folds as branched cov­er­ing spaces of \( S^3 \),” Proc. Am. Math. Soc. 55 : 2 (March 1976), pp. 440–​442. MR 0394629 Zbl 0325.​55003 article

[26] J. S. Birman and R. Craggs: “On the \( \mu \)-in­vari­ant of \( Z \)-ho­mo­logy 3-spheres,” Bull. Am. Math. Soc. 82 : 2 (March 1976), pp. 253–​255. MR 0397734 Zbl 0343.​55001 article

[27] J. S. Birman: “On the stable equi­val­ence of plat rep­res­ent­a­tions of knots and links,” Can. J. Math. 28 : 2 (1976), pp. 264–​290. MR 0402715 Zbl 0339.​55005 article

[28] J. S. Birman, F. González-Acuña, and J. M. Montesinos: “Hee­gaard split­tings of prime 3-man­i­folds are not unique,” Michigan Math. J. 23 : 2 (1976), pp. 97–​103. MR 0431175 Zbl 0321.​57004 article

[29] J. S. Birman: “The al­geb­ra­ic struc­ture of sur­face map­ping class groups,” pp. 163–​198 in Dis­crete groups and auto­morph­ic func­tions (Cam­bridge, 28 Ju­ly–15 Au­gust 1975). Edi­ted by W. J. Har­vey. Aca­dem­ic Press (Lon­don), 1977. MR 0488019 incollection

[30] J. S. Birman: “Spe­cial Hee­gaard split­tings for closed, ori­ented 3-man­i­folds,” To­po­logy 17 : 2 (1978), pp. 157–​166. MR 0482764 Zbl 0412.​57009 article

[31] 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

[32] J. S. Birman and J. Pow­ell: “Spe­cial rep­res­ent­a­tions for 3-man­i­folds,” pp. 23–​51 in Geo­met­ric to­po­logy (Athens, GA, 1–12 Au­gust 1977). Edi­ted by J. C. Cantrell. Aca­dem­ic Press (New York), 1979. MR 537723 Zbl 0471.​57002 incollection

[33] J. S. Birman: “A rep­res­ent­a­tion the­or­em for fibered knots and their mono­dromy maps,” pp. 1–​8 in To­po­logy of low-di­men­sion­al man­i­folds: Pro­ceed­ings of the second Sus­sex con­fer­ence, 1977 (Chel­wood Gate, UK, 8–11 Ju­ly 1977). Edi­ted by R. Fenn. Lec­ture Notes in Math­em­at­ics 722. Spring­er (Ber­lin), 1979. MR 547448 Zbl 0406.​57004 incollection

[34] H. Seifert and W. Threl­fall: Seifert and Threll: A text­book of to­po­logy and Seifert: To­po­logy of 3-di­men­sion­al fibred spaces. Edi­ted by J. S. Birman and J. Eis­ner. Pure and Ap­plied Math­em­at­ics 89. Aca­dem­ic Press (New York), 1980. Two Ger­man texts com­bined in­to a single volume. MR 0575168 Zbl 0469.​55001 book

[35] J. S. Birman and J. M. Montesinos: “On min­im­al Hee­gaard split­tings,” Michigan Math. J. 27 : 1 (1980), pp. 47–​56. MR 555836 Zbl 0436.​57003 article

[36] J. S. Birman: “Er­rata: On the con­jugacy prob­lem in the braid group,” Can. J. Math. 34 : 6 (1982), pp. 1396–​1397. Er­rata for a the­or­em in the book Braids, links, and map­ping class groups (Prin­ceton Univ. Press, 1974). MR 678679 article

[37] J. S. Birman and M. E. Kid­well: “Fixed points of pseudo-Anosov dif­feo­morph­isms of sur­faces,” Adv. in Math. 46 : 2 (November 1982), pp. 217–​220. MR 679909 Zbl 0508.​55001 article

[38] J. S. Birman and R. F. Wil­li­ams: “Knot­ted peri­od­ic or­bits in dy­nam­ic­al sys­tems, I: Lorenz’s equa­tions,” To­po­logy 22 : 1 (1983), pp. 47–​82. Part II was pub­lished in Low-di­men­sion­al to­po­logy (1983). MR 682059 Zbl 0507.​58038 article

[39] J. S. Birman and R. F. Wil­li­ams: “Knot­ted peri­od­ic or­bits in dy­nam­ic­al sys­tem, II: Knot hold­ers for fibered knots,” pp. 1–​60 in Low-di­men­sion­al to­po­logy. Edi­ted by S. J. Lomonaco\( Jr. \). Con­tem­por­ary Math­em­at­ics 20. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1983. Part I was pub­lished in To­po­logy 22:1 (1983). MR 718132 Zbl 0526.​58043 incollection

[40] J. S. Birman, A. Lub­otzky, and J. Mc­Carthy: “Abeli­an and solv­able sub­groups of the map­ping class groups,” Duke Math. J. 50 : 4 (December 1983), pp. 1107–​1120. MR 726319 Zbl 0551.​57004 article

[41] J. H. Ru­bin­stein and J. S. Birman: “One-sided Hee­gaard split­tings and homeotopy groups of some 3-man­i­folds,” Proc. Lon­don Math. Soc. (3) 49 : 3 (1984), pp. 517–​536. MR 759302 Zbl 0527.​57003 article

[42] J. S. Birman and C. Series: “An al­gorithm for simple curves on sur­faces,” J. Lon­don Math. Soc. (2) 29 : 2 (1984), pp. 331–​342. MR 744104 Zbl 0507.​57006 article

[43] J. S. Birman and C. Series: “Geodesics with bounded in­ter­sec­tion num­ber on sur­faces are sparsely dis­trib­uted,” To­po­logy 24 : 2 (1985), pp. 217–​225. MR 793185 Zbl 0568.​57006 article

[44] J. S. Birman: “On the Jones poly­no­mi­al of closed 3-braids,” In­vent. Math. 81 : 2 (June 1985), pp. 287–​294. MR 799267 Zbl 0588.​57005 article

[45] J. S. Birman and B. Wa­jnryb: “3-fold branched cov­er­ings and the map­ping class group of a sur­face,” pp. 24–​46 in Geo­metry and to­po­logy (Col­lege Park, MD, 1983–1984). Edi­ted by J. C. Al­ex­an­der and J. L. Harer. Lec­ture Notes in Math­em­at­ics 1167. Spring­er (Ber­lin), 1985. MR 827260 Zbl 0589.​57009 incollection

[46] J. S. Birman: “Knot­ted peri­od­ic or­bits in dy­nam­ic­al sys­tems,” pp. 49–​58 in Group the­or­et­ic­al meth­ods in phys­ics: Pro­ceed­ings of the 14th ICGT­MP (Seoul, 26–30 Au­gust 1985). Edi­ted by Y. M. Cho. World Sci­entif­ic (Singa­pore), 1986. MR 852702 Zbl 0709.​58029 incollection

[47] J. S. Birman and B. Wa­jnryb: “Markov classes in cer­tain fi­nite quo­tients of Artin’s braid group,” Is­rael J. Math. 56 : 2 (1986), pp. 160–​178. MR 880289 Zbl 0621.​20025 article

[48] J. S. Birman and C. Series: “Geodesics with mul­tiple self-in­ter­sec­tions and sym­met­ries on Riemann sur­faces,” pp. 3–​11 in Low-di­men­sion­al to­po­logy and Klein­i­an groups (Cov­entry and Durham, UK, 1984). Edi­ted by D. B. A. Ep­stein. Lon­don Math­em­at­ic­al So­ci­ety Lec­ture Note Series 112. Cam­bridge Uni­versity Press, 1986. MR 903857 Zbl 0618.​57001 incollection

[49] J. S. Birman and C. Series: “Dehn’s al­gorithm re­vis­ited, with ap­plic­a­tions to simple curves on sur­faces,” pp. 451–​478 in Com­bin­at­or­i­al group the­ory and to­po­logy (Alta Lodge, UT, 15–18 Ju­ly 1984). Edi­ted by S. M. Ger­sten and J. R. Stallings. An­nals of Math­em­at­ics Stud­ies 111. Prin­ceton Uni­versity Press, 1987. MR 895628 Zbl 0624.​20033 incollection

[50] J. S. Birman: “Book re­views: Ger­hard Burde and Hein­er Zi­eschang, ‘Knots’, Louis H. Kauff­man, ‘On knots’,” Bull. Am. Math. Soc. (N.S.) 19 : 2 (1988), pp. 550–​558. MR 1567720 article

[51] J. S. Birman and T. Kan­en­obu: “Jones’ braid-plat for­mula and a new sur­gery triple,” Proc. Am. Math. Soc. 102 : 3 (March 1988), pp. 687–​695. MR 929004 Zbl 0643.​57007 article

[52] J. S. Birman and C. Series: “Al­geb­ra­ic lin­ear­ity for an auto­morph­ism of a sur­face group,” J. Pure Ap­pl. Al­gebra 52 : 3 (July 1988), pp. 227–​275. MR 952081 Zbl 0646.​57007 article

[53] J. S. Birman: “Map­ping class groups of sur­faces,” pp. 13–​43 in Braids (Santa Cruz, CA, 13–26 Ju­ly 1986). Edi­ted by J. S. Birman and A. Libgober. Con­tem­por­ary Math­em­at­ics 78. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1988. MR 975076 Zbl 0663.​57008 incollection

[54] Braids: Pro­ceed­ings of the AMS-IMS-SIAM joint sum­mer re­search con­fer­ence on Artin’s braid group (Santa Cruz, CA, 13–26 Ju­ly 1986). Edi­ted by J. S. Birman and A. Libgober. Con­tem­por­ary Math­em­at­ics 78. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1988. Zbl 0651.​00010 book

[55] J. S. Birman and H. Wen­zl: “Braids, link poly­no­mi­als and a new al­gebra,” Trans. Am. Math. Soc. 313 : 1 (1989), pp. 249–​273. MR 992598 Zbl 0684.​57004 article

[56] J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, IV: Com­pos­ite links and split links,” In­vent. Math. 102 : 1 (December 1990), pp. 115–​139. An er­rat­um for this art­icle was pub­lished in In­vent. Math. 160:2 (2005); Parts I, III and VI were pub­lished in Pac. J. Math. 154:1 (1992), 161:1 (1993) and 156:2 (1992); Part II was pub­lished in To­po­logy Ap­pl. 40:1 (1991); Part V was pub­lished in Trans. Am. Math. Soc. 329:2 (1992). MR 1069243 Zbl 0711.​57006 article

[57] J. S. Birman: On the work of Vaughan F. R. Jones, 1990. from 60m VHS video­cas­sette “Ad­dresses on the works of the 1990 Fields medal­ists and the Rolf Nevan­linna Prize win­ner: ICM-90”. Video of the ad­dress pub­lished in Pro­ceed­ings of the ICM, I (1991) and Fields Medal­lists’ lec­tures (1997). MR 1175179 misc

[58] J. S. Birman: “Re­cent de­vel­op­ments in braid and link the­ory,” Math. In­tell. 13 : 1 (1991), pp. 52–​60. MR 1084535 Zbl 0713.​57002 article

[59] J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, II: On a the­or­em of Ben­nequin,” To­po­logy Ap­pl. 40 : 1 (June 1991), pp. 71–​82. Parts I, III, and VI were pub­lished in Pac. J. Math. 154:1 (1992), 161:1 (1993) and 156:2 (1992); Part IV was pub­lished in In­vent. Math. 102:1 (1990); Part V was pub­lished in Trans. Am. Math. Soc. 329:2 (1992). MR 1114092 Zbl 0722.​57001 article

[60] J. S. Birman, D. Haimo, S. Land­au, B. Srinivas­an, V. S. Pless, and J. E. Taylor: “In her own words: Six math­em­aticians com­ment on their lives and ca­reers,” No­tices Am. Math. Soc. 38 : 7 (1991), pp. 702–​706. MR 1125373 Zbl 0741.​01032 article

[61] J. S. Birman: “The work of Vaughan F. R. Jones,” pp. 9–​18 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Kyoto, 21–29 Au­gust 1990), vol. I. Edi­ted by I. Satake. Math­em­at­ic­al So­ci­ety of Ja­pan (Tokyo), 1991. Also pub­lished in Fields Medal­lists’ lec­tures (1997) and as an AMS video (1990). MR 1159199 Zbl 0743.​01023 incollection

[62] J. S. Birman: “A pro­gress re­port on the study of links via closed braids,” pp. 869–​895 in Math­em­at­ische Wis­senschaften gestern und heute. 300 Jahre Math­em­at­ische Gesell­schaf in Ham­burg, Teil 4 [Math­em­at­ic­al sci­ences yes­ter­day and today: 300 years of the Ham­burg Math­em­at­ic­al So­ci­ety, part 4], published as Mitt. Math. Ges. Ham­burg 12 : 4. Issue edi­ted by R. Carls­son. 1991. MR 1175012 Zbl 0890.​57010 incollection

[63] J. S. Birman: “Book re­view: F. M. Good­man, P. de la Harpe and V. F. R. Jones, ‘Coxeter graphs and towers of al­geb­ras’,” Bull. Am. Math. Soc. (N.S.) 25 : 1 (1991), pp. 195–​199. MR 1567945 article

[64] J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, V: The un­link,” Trans. Am. Math. Soc. 329 : 2 (February 1992), pp. 585–​606. Parts I, III and VI were pub­lished in Pac. J. Math. 154:1 (1992), 161:1 (1993) and 156:2 (1992); Part II was pub­lished in To­po­logy Ap­pl. 40:1 (1991); Part IV was pub­lished in In­vent. Math. 102:1 (1990). MR 1030509 Zbl 0758.​57005 article

[65] J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, I: A fi­nite­ness the­or­em,” Pa­cific J. Math. 154 : 1 (May 1992), pp. 17–​36. Part II was pub­lished in To­po­logy Ap­pl. 40:1 (1991); Part IV was pub­lished in In­vent. Math. 102:1 (1990); Part V was pub­lished in Trans. Am. Math. Soc. 329:2 (1992). MR 1154731 Zbl 0724.​57001 article

[66] J. S. Birman: “On Sha­far­ev­ich’s es­say ‘Rus­sopho­bia’,” Math. In­tell. 14 : 2 (1992), pp. 3–​4. Let­ter to the ed­it­or in re­sponse to to S. Zdravkovska’s art­icle “Listen­ing to Ig­or Rostis­la­vovich Sha­far­ev­ich” in Math. In­tell. 11:2 (1989), with a reply by Shel­don Axler. MR 1160698 article

[67] J. S. Birman and W. W. Menasco: “A cal­cu­lus on links in the 3-sphere,” pp. 625–​631 in Knots 90 (Osaka, 15–19 Au­gust 1990). Edi­ted by A. Kawau­chi. de Gruyter (Ber­lin), 1992. MR 1177450 Zbl 0764.​57005 incollection

[68] J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, VI: A non­fin­ite­ness the­or­em,” Pa­cific J. Math. 156 : 2 (December 1992), pp. 265–​285. Part II was pub­lished in To­po­logy Ap­pl. 40:1 (1991); Part IV was pub­lished in In­vent. Math. 102:1 (1990); Part V was pub­lished in Trans. Am. Math. Soc. 329:2 (1992). MR 1186805 Zbl 0739.​57002 article

[69] J. S. Birman: A new look at knot poly­no­mi­als, 1992. 60 minute VHS video­cas­sette. MR 1201149 Zbl 0821.​57001 misc

[70] J. S. Birman: “New points of view in knot the­ory,” Bull. Am. Math. Soc. (N.S.) 28 : 2 (1993), pp. 253–​287. MR 1191478 Zbl 0785.​57001 article

[71] 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

[72] J. S. Birman and W. W. Menasco: “Study­ing links via closed braids, III: Clas­si­fy­ing links which are closed 3-braids,” Pa­cific J. Math. 161 : 1 (November 1993), pp. 25–​113. Part II was pub­lished in To­po­logy Ap­pl. 40:1 (1991); Part IV was pub­lished in In­vent. Math. 102:1 (1990); Part V was pub­lished in Trans. Am. Math. Soc. 329:2 (1992). MR 1237139 Zbl 0813.​57010 article

[73] J. S. Birman and W. W. Menasco: “Spe­cial po­s­i­tions for es­sen­tial tori in link com­ple­ments,” To­po­logy 33 : 3 (July 1994), pp. 525–​556. An er­rat­um for this art­icle was pub­lished in To­po­logy 37:1 (1998). MR 1286930 Zbl 0833.​57004 article

[74] The math­em­at­ic­al leg­acy of Wil­helm Mag­nus: Groups, geo­metry and spe­cial func­tions (Brook­lyn, NY, 1–3 May 1992). Edi­ted by W. Abikoff, J. S. Birman, and K. Kuiken. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1994. MR 1292894 Zbl 0801.​00023 book

[75] J. S. Birman, D. D. Long, and J. A. Moody: “Fi­nite-di­men­sion­al rep­res­ent­a­tions of Artin’s braid group,” pp. 123–​132 in The math­em­at­ic­al leg­acy of Wil­helm Mag­nus: Groups, geo­metry and spe­cial func­tions (Brook­lyn, NY, 1–3 May 1992). Edi­ted by W. Abikoff, J. S. Birman, and K. Kuiken. Con­tem­por­ary Math­em­at­ics 169. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1994. MR 1292900 Zbl 0847.​20035 incollection

[76] J. S. Birman and B. Wa­jnryb: “Er­rata: ‘Present­a­tions of the map­ping class group’,” Is­rael J. Math. 88 : 1–​3 (October 1994), pp. 425–​427. Er­rata for two art­icles, the first be­ing “3-fold branched cov­er­ings and the map­ping class group of a sur­face” pub­lished in Geo­metry and to­po­logy (1985), the oth­er by Wa­jnryb alone. MR 1303506 Zbl 0811.​57019 article

[77] J. S. Birman: “Knots, links and braids,” Arkhimedes 46 : 4 (1994), pp. 311–​326. MR 1336648 Zbl 1231.​57004 article

[78] J. S. Birman: “On the com­bin­at­or­ics of Vassiliev in­vari­ants,” pp. 1–​19 in Braid group, knot the­ory and stat­ist­ic­al mech­an­ics, II. Edi­ted by C. N. Yang and M. L. Ge. Ad­vanced Series in Math­em­at­ic­al Phys­ics 17. World Sci­entif­ic (River Edge, NJ), 1994. MR 1338597 Zbl 0938.​57004 incollection

[79] J. Birman: “Study­ing links via closed braids,” pp. 1–​67 in Lec­ture notes of the ninth KAIST math­em­at­ics work­shop (Tae­jon, Korea, 1–13 Au­gust 1994), vol. 1. Edi­ted by S. H. Bae, G. T. Jin, and K. H. Ko. Korea Ad­vanced In­sti­tute of Sci­ence and Tech­no­logy (Tae­jon), 1994. Zbl 0835.​57002 incollection

[80] J. S. Birman: “Book re­view: Charles Liv­ing­ston, ‘Knot the­ory’,” Am. Math. Monthly 102 : 8 (October 1995), pp. 755–​757. MR 1542746 article

[81]The braid groups, knots and al­geb­ra­ic geo­metry,” pp. 1–​4 in Spe­cial is­sue on braid groups and re­lated top­ics (Jer­u­s­alem, May 1995), published as To­po­logy Ap­pl. 78 : 1–​2. Issue edi­ted by J. S. Birman and M. Teich­er. El­sevi­er (Am­s­ter­dam), July 1997. Ed­it­or­i­al. incollection

[82] Spe­cial is­sue on braid groups and re­lated top­ics (Jer­u­s­alem, May 1995), published as To­po­logy Ap­pl. 78 : 1–​2. Issue edi­ted by J. S. Birman and M. Teich­er. El­sevi­er (Am­s­ter­dam), July 1997. Pa­pers from the spe­cial ses­sion of an AMS-IMU meet­ing. MR 1465021 Zbl 0872.​00016 book

[83] J. S. Birman: “The work of Vaughan F. R. Jones,” pp. 435–​445 in Fields Medal­lists’ lec­tures. Edi­ted by M. F. Atiyah and D. Iag­ol­nitzer. Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. Also pub­lished in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians, I (1991) and as an AMS video (1990). MR 1622915 incollection

[84] J. S. Birman and W. W. Menasco: “Er­rat­um: ‘Spe­cial po­s­i­tions for es­sen­tial tori in link com­ple­ments’,” To­po­logy 37 : 1 (1998), pp. 225. Er­rat­um for an art­icle pub­lished in To­po­logy 33:3 (1994). MR 1480888 article

[85] J. S. Birman and R. Trapp: “Braided chord dia­grams,” J. Knot The­or. Ramif. 7 : 1 (1998), pp. 1–​22. MR 1611967 Zbl 0896.​57003 article

[86] J. S. Birman and E. Finkel­stein: “Study­ing sur­faces via closed braids,” J. Knot The­or. Ramif. 7 : 3 (1998), pp. 267–​334. MR 1625362 Zbl 0907.​57006 article

[87] J. Birman, K. H. Ko, and S. J. Lee: “A new ap­proach to the word and con­jugacy prob­lems in the braid groups,” Adv. Math. 139 : 2 (November 1998), pp. 322–​353. MR 1654165 Zbl 0937.​20016 article

[88] 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

[89] J. S. Birman and N. C. Wrinkle: “Holo­nom­ic and Le­gendri­an para­met­riz­a­tions of knots,” J. Knot The­or. Ramif. 9 : 3 (May 2000), pp. 293–​309. MR 1753797 Zbl 1001.​57015 article

[90] J. S. Birman and N. C. Wrinkle: “On trans­vers­ally simple knots,” J. Diff. Geom. 55 : 2 (2000), pp. 325–​354. MR 1847313 Zbl 1026.​57005 article

[91] J. S. Birman: “Sci­entif­ic pub­lish­ing: A math­em­atician’s view­point,” No­tices Am. Math. Soc. 47 : 7 (August 2000), pp. 770–​774. Zbl 1003.​00502 article

[92] J. S. Birman, K. H. Ko, and S. J. Lee: “The in­fim­um, su­prem­um, and geodes­ic length of a braid con­jugacy class,” Adv. Math. 164 : 1 (December 2001), pp. 41–​56. MR 1870512 Zbl 1063.​20039 article

[93] Knots, braids, and map­ping class groups: Pa­pers ded­ic­ated to Joan S. Birman (New York, 14–15 March 1998). Edi­ted by J. Gil­man, W. W. Menasco, and X.-S. Lin. AMS/IP Stud­ies in Ad­vanced Math­em­at­ics 24. Amer­ic­an Math­em­at­ic­al So­ci­ety and In­ter­na­tion­al Press (Provid­ence, RI and Somerville, MA), 2001. Pro­ceed­ings of a con­fer­ence in low-di­men­sion­al to­po­logy in hon­or of Joan S. Birman’s 70th birth­day. MR 1873102 Zbl 0980.​00048 book

[94]Joan S. Birman: Pub­lic­a­tions and Ph.D. theses su­per­vised,” pp. xiii–​xvi in Knots, braids, and map­ping class groups: Pa­pers ded­ic­ated to Joan S. Birman (New York, 14–15 March 1998). Edi­ted by J. Gil­man, W. W. Menasco, and X.-S. Lin. AMS/IP Stud­ies in Ad­vanced Math­em­at­ics 24. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2001. MR 1873103 Zbl 0988.​01500 incollection

[95] J. S. Birman and W. W. Menasco: “On Markov’s the­or­em,” pp. 295–​310 in Knots 2000 Korea (Volume 1) (Yong­py­ong, Korea, 31 Ju­ly–5 Au­gust 2000), published as J. Knot The­or. Ramif. 11 : 3. Issue edi­ted by J. S. Birman, C. M. Gor­don, G. T. Jin, L. H. Kauff­man, A. Kawau­chi, K. H. Ko, J. P. Lev­ine, and Y. Mat­sumoto. World Sci­entif­ic (Singa­pore), 2002. MR 1905686 Zbl 1059.​57002 incollection

[96] J. S. Birman, M. Rampichini, P. Boldi, and S. Vigna: “To­wards an im­ple­ment­a­tion of the B–H al­gorithm for re­cog­niz­ing the un­knot,” pp. 601–​645 in Knots 2000 Korea (Volume 2) (Yong­py­ong, Korea, 31 Ju­ly–5 Au­gust 2000), published as J. Knot The­or. Ramif. 11 : 4. Issue edi­ted by J. S. Birman, C. M. Gor­don, G. T. Jin, L. H. Kauff­man, A. Kawau­chi, K. H. Ko, J. P. Lev­ine, and Y. Mat­sumoto. World Sci­entif­ic (Hack­en­sack, NJ), 2002. MR 1915499 Zbl 1007.​57004 incollection

[97] Knots 2000 Korea (Volume 1) (Yong­py­ong, South Korea, 31 Ju­ly–5 Au­gust 2000), published as J. Knot The­or. Ramif. 11 : 3. Issue edi­ted by J. S. Birman, C. M. Gor­don, G. T. Jin, L. H. Kauff­man, A. Kawau­chi, K. H. Ko, J. P. Lev­ine, and Y. Mat­sumoto. World Sci­entif­ic (Singa­pore), 2002. Zbl 0995.​00510 book

[98] Knots 2000 Korea (Volume 3) (Yong­py­ong, South Korea, 31 Ju­ly–5 Au­gust 2000), published as J. Knot The­or. Ramif. 11 : 6. Issue edi­ted by J. S. Birman, C. M. Gor­don, G. T. Jin, L. H. Kauff­man, A. Kawau­chi, K. H. Ko, J. P. Lev­ine, and Y. Mat­sumoto. World Sci­entif­ic (Singa­pore), September 2002. Zbl 1018.​00508 book

[99] J. S. Birman and D. R. J. Chilling­worth: “Er­rat­um: ‘On the homeotopy group of a non-ori­ent­able sur­face’,” Math. Proc. Camb. Philos. Soc. 136 : 2 (2004), pp. 441. Er­rat­um to an art­icle pub­lished in Proc. Cam­bridge Philos. Soc. 71:3 (1972). MR 2040584 article

[100] J. S. Birman and J. A. Moody: “Ob­struc­tions to trivi­al­iz­ing a knot,” Is­rael J. Math. 142 (2004), pp. 125–​162. MR 2085713 Zbl 1074.​57002 article

[101] J. S. Birman and W. W. Menasco: “Er­rat­um: ‘Study­ing links via closed braids, IV: Com­pos­ite links and split links’,” In­vent. Math. 160 : 2 (2005), pp. 447–​452. Er­rat­um to an art­icle pub­lished in In­vent. Math. 102:1 (1990). MR 2138073 article

[102] J. S. Birman and T. E. Brendle: “Braids: A sur­vey,” Chapter 2, pp. 19–​103 in Hand­book of knot the­ory. Edi­ted by W. Menasco and M. Thistleth­waite. El­sevi­er B. V. (Am­s­ter­dam), 2005. MR 2179260 Zbl 1094.​57006 incollection

[103] 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

[104] 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

[105] J. S. Birman: “The to­po­logy of 3-man­i­folds, Hee­gaard dis­tance and the map­ping class group of a 2-man­i­fold,” pp. 133–​149 in Prob­lems on map­ping class groups and re­lated top­ics. Edi­ted by B. Farb. Pro­ceed­ings of Sym­po­sia Pure Math­em­at­ics 74. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2006. MR 2264538 Zbl 1304.​57033 incollection

[106] A. Jack­son and L. Traynor: “In­ter­view with Joan Birman,” No­tices Am. Math. Soc. 54 : 1 (January 2007), pp. 20–​29. In­ter­view con­duc­ted in May 2006. MR 2275922 Zbl 1128.​01303 article

[107] J. S. Birman, V. Gebhardt, and J. González-Me­neses: “Con­jugacy in Garside groups, I: Cyc­lings, powers and ri­gid­ity,” Groups Geom. Dyn. 1 : 3 (2007), pp. 221–​279. Part III was pub­lished in J. Al­gebra 316:2 (2007). MR 2314045 Zbl 1160.​20026 article

[108] J. S. Birman, V. Gebhardt, and J. González-Me­neses: “Con­jugacy in Garside groups, III: Peri­od­ic braids,” J. Al­gebra 316 : 2 (October 2007), pp. 746–​776. Parts I and II were pub­lished in Groups Geom. Dyn. 1:3 (2007) and Groups Geom. Dyn. 2:1 (2008). MR 2358613 Zbl 1165.​20031 article

[109] J. S. Birman, D. John­son, and A. Put­man: “Sym­plect­ic Hee­gaard split­tings and linked abeli­an groups,” pp. 135–​220 in Groups of dif­feo­morph­isms: In hon­or of Shi­gey­uki Mor­ita on the oc­ca­sion of his 60th birth­day (Tokyo, 11–15 Septem­ber 2006). Edi­ted by R. C. Pen­ner. Ad­vanced Stud­ies in Pure Math­em­at­ics 52. Math­em­at­ic­al So­ci­ety of Ja­pan (Tokyo), 2008. MR 2509710 Zbl 1170.​57018 ArXiv 0712.​2104 incollection

[110] J. S. Birman, V. Gebhardt, and J. González-Me­neses: “Con­jugacy in Garside groups, II: Struc­ture of the ul­tra sum­mit set,” Groups Geom. Dyn. 2 : 1 (2008), pp. 13–​61. Part III was pub­lished in J. Al­gebra 316:2 (2007). MR 2367207 Zbl 1163.​20023 article

[111] J. S. Birman and G. Tian: “Pre­face,” Com­mun. Con­temp. Math. 10 : supplement 1 (November 2008), pp. v–​vii. In memory of Xiao-Song Lin, to whom this sup­ple­ment­ary is­sue is ded­ic­ated. MR 2468363 article

[112] J. S. Birman and W. W. Menasco: “A note on closed 3-braids,” Com­mun. Con­temp. Math. 10 : supplement 1 (November 2008), pp. 1033–​1047. MR 2468377 Zbl 1158.​57006 article

[113] J. S. Birman, T. E. Brendle, and N. Broad­dus: “Cal­cu­lat­ing the im­age of the second John­son–Mor­ita rep­res­ent­a­tion,” pp. 119–​134 in Groups of dif­feo­morph­isms: In hon­or of Shi­gey­uki Mor­ita on the oc­ca­sion of his 60th birth­day (Tokyo, 11–15 Septem­ber 2006). Edi­ted by R. C. Pen­ner. Ad­vanced Stud­ies in Pure Math­em­at­ics 52. Math­em­at­ic­al So­ci­ety of Ja­pan (Tokyo), 2008. MR 2509709 Zbl 1183.​57016 ArXiv 0708.​3861 incollection

[114] W.-T. Lam: The charm of to­po­logy: Dr. Joan Birman: Math­em­at­ics is very beau­ti­ful, 2009. Grand Prize win­ner of the 2009 As­so­ci­ation of Wo­men Math­em­aticians Es­say Con­test. misc

[115] J. Birman and I. Kof­man: “A new twist on Lorenz links,” J. To­pol. 2 : 2 (2009), pp. 227–​248. MR 2529294 Zbl 1233.​57001 article

[116] J. S. Birman: “Book re­views: Chris­ti­an Kas­sel and Vladi­mir Tur­aev, ‘Braid groups’ and Patrick De­hornoy, ‘Or­der­ing braids’,” Bull. Am. Math. Soc. (N.S.) 48 : 1 (2011), pp. 137–​146. MR 2731658 Zbl 1292.​00013 article

[117] J. Birman, P. Brink­mann, and K. Kawamuro: “Poly­no­mi­al in­vari­ants of pseudo-Anosov maps,” J. To­pol. Anal. 4 : 1 (2012), pp. 13–​47. MR 2914872 Zbl 1268.​57002 article

[118] J. S. Birman: “The math­em­at­ics of Lorenz knots,” pp. 127–​148 in To­po­logy and dy­nam­ics of chaos: In cel­eb­ra­tion of Robert Gilmore’s 70th birth­day. Edi­ted by C. Le­tel­l­i­er and R. Gilmore. Non­lin­ear Sci­ence Series A 84. World Sci­entif­ic (Hack­en­sack, NJ), 2013. MR 3289735 Zbl 1270.​37001 incollection

[119] J. Birman, N. Broad­dus, and W. Menasco: “Fi­nite ri­gid sets and ho­mo­lo­gic­ally non­trivi­al spheres in the curve com­plex of a sur­face,” J. To­pol. Anal. 7 : 1 (2015), pp. 47–​71. MR 3284389 Zbl 1308.​57009 article

[120] J. S. Birman and W. W. Menasco: “The curve com­plex has dead ends,” Geom. Ded­icata 177 (August 2015), pp. 71–​74. MR 3370023 Zbl 1335.​57031 article

[121] J. S. Birman and H. M. Hilden: “Er­rat­um to ‘Iso­top­ies of homeo­morph­isms of Riemann sur­faces’,” Ann. of Math. 185 : 1 (2017), pp. 345. MR 3583359 Zbl 06686591 article