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Celebratio Mathematica

Vaughan F. R. Jones

Complete Bibliography

[1]V. F. R. Jones: “Quantum mech­an­ics over fields of non-zero char­ac­ter­ist­ic,” Lett. Math. Phys. 1 : 2 (1975–1976), pp. 99–​103. MR 418670 article

[2] V. Jones: “Sur la con­ju­gais­on de sous-fac­teurs de fac­teurs de type \( \mathrm{II}_1 \)” [On the con­jug­a­tion of sub­factors of type \( \mathrm{II}_1 \) factors], C. R. Acad. Sci. Par­is Sér. A-B 284 : 11 (1977), pp. A597–​A598. MR 430803 Zbl 0344.​46128 article

[3] F. R. V. Jones: Ac­tions of fi­nite groups on the hy­per­fin­ite \( \mathrm{II}_1 \) factor. Ph.D. thesis, Uni­versity of Geneva, 1979. Ad­vised by A. Hae­fli­ger. Re­pub­lished as Mem­oirs of the Amer­ic­an Math­em­at­ic­al So­ci­ety 237 (1980). phdthesis

[4] V. F. R. Jones: “An in­vari­ant for group ac­tions,” pp. 237–​253 in Algèbres d’opérat­eurs [Op­er­at­or al­geb­ras] (Les Plans-sur-Bex, France, 13–18 March 1978). Edi­ted by P. de la Harpe. Lec­ture Notes in Math­em­at­ics 725. Spring­er (Ber­lin), 1979. MR 548118 Zbl 0497.​46044 incollection

[5] T. Giord­ano and V. Jones: “An­ti­auto­morph­ismes in­vol­u­tifs du fac­teur hy­per­fini de type \( \mathrm{II}_1 \)” [In­vol­ut­ive an­ti­auto­morph­isms of hy­per­fin­ite type \( \mathrm{II}_1 \) factors], C. R. Acad. Sci. Par­is Sér. A-B 290 : 1 (1980), pp. A29–​A31. MR 564145 Zbl 0428.​46047 article

[6] V. F. R. Jones: “A \( \mathrm{II}_1 \) factor anti-iso­morph­ic to it­self but without in­vol­utory an­ti­auto­morph­isms,” Math. Scand. 46 : 1 (1980), pp. 103–​117. MR 585235 Zbl 0432.​46062 article

[7] V. F. R. Jones: Ac­tions of fi­nite groups on the hy­per­fin­ite type \( \mathrm{II}_1 \) factor. Mem­oirs of the Amer­ic­an Math­em­at­ic­al So­ci­ety 237. Amer­ic­an Math­eam­mat­ic­al So­ci­ety (Provid­ence, RI), 1980. Re­pub­lic­a­tion of Jones’ 1979 PhD thes­is. MR 587749 Zbl 0454.​46045 book

[8] V. F. R. Jones: “Iso­morph­isms of auto­morph­ism groups of type \( \mathrm{II} \) factors,” pp. 211–​219 in Top­ics in mod­ern op­er­at­or the­ory (Tim­işoara and Her­cu­lane, Ro­mania, 2–12 June 1980). Edi­ted by C. Apostol, R. G. Douglas, B. Sz.-Nagy, and D. Voicules­cu. Op­er­at­or The­ory: Ad­vances and Ap­plic­a­tions 2. Birkhäuser (Basel and Bo­ston), 1981. MR 672823 Zbl 0463.​46049 incollection

[9] V. F. R. Jones: “Prime ac­tions of com­pact abeli­an groups on the hy­per­fin­ite type \( \mathrm{II} \) factor,” J. Op­er. The­ory 9 : 1 (1982), pp. 181–​186. MR 695946 Zbl 0508.​46043 article

[10] A. Connes and V. Jones: “A \( \mathrm{II}_1 \) factor with two non­con­jug­ate Cartan sub­al­geb­ras,” Bull. Am. Math. Soc. (N.S.) 6 : 2 (1982), pp. 211–​212. MR 640947 Zbl 0501.​46056 article

[11] R. H. Her­man and V. F. R. Jones: “Peri­od two auto­morph­isms of \( \mathrm{UHF} \) \( C^* \)-al­geb­ras,” J. Funct. Anal. 45 : 2 (1982), pp. 169–​176. MR 647069 Zbl 0511.​46057 article

[12] V. F. R. Jones: “Cent­ral se­quences in crossed products of full factors,” Duke Math. J. 49 : 1 (March 1982), pp. 29–​33. MR 650367 Zbl 0492.​46049 article

[13] V. F. R. Jones: “L’in­dice d’un sous-fac­teur d’un fac­teur de type \( \mathrm{II} \)” [The in­dex of a sub­factor of a type \( \mathrm{II} \) factor], C. R. Acad. Sci. Par­is Sér. I Math. 294 : 12 (1982), pp. 391–​394. MR 659729 Zbl 0492.​46048 article

[14] V. F. R. Jones: “Ac­tions of dis­crete groups on factors,” pp. 167–​177 in Op­er­at­or al­geb­ras and ap­plic­a­tions (King­ston, ON, 14 Ju­ly–2 Au­gust 1980), part 2. Edi­ted by R. V. Kadis­on. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 38. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1982. MR 679504 Zbl 0503.​46045 incollection

[15] V. Jones and S. Popa: “Some prop­er­ties of MASA’s in factors,” pp. 89–​102 in In­vari­ant sub­spaces and oth­er top­ics (Tim­işoara and Her­cu­lane, Ro­mania, 1–11 June 1981). Edi­ted by C. Apostol, R. G. Douglas, B. Szőke­falvi-Nagy, and D. Voi­sules­cu. Op­er­at­or The­ory: Ad­vances and Ap­plic­a­tions 6. Birkhäuser (Basel and Bo­ston), 1982. MR 685457 Zbl 0508.​46041 incollection

[16] R. H. Her­man and V. F. R. Jones: “Mod­els of fi­nite group ac­tions,” Math. Scand. 52 : 2 (1983), pp. 312–​320. MR 702960 Zbl 0551.​46043 article

[17] V. F. R. Jones: A con­verse to Ocneanu’s the­or­em, 1983. MR 715556 Zbl 0547.​46045 arcticle

[18] V. F. R. Jones: “In­dex for sub­factors,” In­vent. Math. 72 : 1 (1983), pp. 1–​25. A lec­ture based on this was pub­lished in Fields Medal­lists’ lec­tures (1997). MR 696688 Zbl 0508.​46040 article

[19] N. Habeg­ger, V. Jones, O. Pino Ort­iz, and J. Ratcliffe: “Re­l­at­ive co­homo­logy of groups,” Com­ment­arii Math. Hel­vet. 59 : 1 (1984), pp. 149–​164. MR 743948 Zbl 0544.​20047 article

[20] V. Jones: “Groups de tresses, algèbres de Hecke et fac­teurs de type \( \mathrm{II}_1 \)” [Braid groups, Hecke al­geb­ras and type \( \mathrm{II}_1 \) factors], C. R. Acad. Sci., Par­is, Sér. I 298 : 20 (1984), pp. 505–​508. An ex­pan­ded Eng­lish ver­sion of this was pub­lished in Geo­met­ric meth­ods in op­er­at­or al­geb­ras (1986). MR 753900 Zbl 0597.​20034 article

[21] V. F. R. Jones and M. Take­saki: “Ac­tions of com­pact abeli­an groups on semi­fin­ite in­ject­ive factors,” Acta Math. 153 (1984), pp. 213–​258. MR 766264 Zbl 0588.​46042 article

[22] V. Jones and A. Connes: “Prop­erty \( T \) for von Neu­mann al­geb­ras,” Bull. Lond. Math. Soc. 17 : 1 (January 1985), pp. 57–​62. MR 766450 Zbl 1190.​46047 article

[23] V. F. R. Jones: “A poly­no­mi­al in­vari­ant for knots via von Neu­mann al­geb­ras,” Bull. Am. Math. Soc. 12 : 1 (January 1985), pp. 103–​111. A lec­ture based on this was pub­lished in Fields Medal­lists’ lec­tures (1997). MR 766964 Zbl 0564.​57006 article

[24] F. Good­man, P. de la Harpe, and V. Jones: “Clas­si­fic­a­tion des matrices entières non négat­ives de petites normes” [Clas­si­fic­a­tion of non-neg­at­ive in­teg­ral matrices with small norms], C. R. Acad. Sci., Par­is, Sér. I 300 : 14 (1985), pp. 463–​465. MR 788972 Zbl 0624.​15013 article

[25] V. Jones: “In­dex for sub­rings of rings,” pp. 181–​190 in Group ac­tions on rings (Brun­swick, ME, 8–14 Ju­ly 1984). Edi­ted by S. Mont­gomery. Con­tem­por­ary Math­em­at­ics 43. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1985. MR 810651 Zbl 0607.​46033 incollection

[26] V. Jones: “A new knot poly­no­mi­al and von Neu­mann al­geb­ras,” No­tices Am. Math. Soc. 33 : 2 (March 1986), pp. 219–​225. MR 830613 article

[27] A. Connes: “Sem­in­ar Bourbaki, vol. 1984/85” [In­dex of sub­factors, Hecke al­geb­ras and knot the­ory (after Vaughan Jones)], pp. 289–​308. Astérisque 133–​134. Société Mathématique de France (Par­is), 1986. Ex­posé no. 647. MR 837226 Zbl 0597.​57005 incollection

[28] V. F. R. Jones: “Braid groups, Hecke al­geb­ras and type \( \mathrm{II} \) factors,” pp. 242–​273 in Geo­met­ric meth­ods in op­er­at­or al­geb­ras (Kyoto, Ju­ly 1983). Edi­ted by H. Araki and E. G. Ef­fros. Pit­man Re­search Notes in Math­em­at­ics 123. Long­man Sci­entif­ic & Tech­nic­al, 1986. A brief, French lan­guage ver­sion was pub­lished in C. R. Acad. Sci., Par­is, Sér. I 298:20 (1984). MR 866500 Zbl 0659.​46054 incollection

[29] C. C. King: “Vaughan Jones and knot the­ory: A New Zea­l­and math­em­atician un­ravels a new in­vari­ant which links di­verse sci­ences in an un­fore­seen thread,” NZMS News­lett. 37 (August 1986), pp. 28–​32. MR 988593 article

[30] V. F. R. Jones and K. Schmidt: “Asymp­tot­ic­ally in­vari­ant se­quences and ap­prox­im­ate fi­nite­ness,” Am. J. Math. 109 : 1 (February 1987), pp. 91–​114. MR 878200 Zbl 0638.​28014 article

[31] R. H. Her­man and V. F. R. Jones: “Cent­ral se­quences in crossed products,” pp. 539–​544 in Op­er­at­or al­geb­ras and math­em­at­ic­al phys­ics (Iowa City, IA, 17–21 June 1985). Edi­ted by P. E. T. Jør­gensen and P. S. Muhly. Con­tem­por­ary Math­em­at­ics 62. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1987. MR 878399 Zbl 0624.​46044 incollection

[32] V. F. R. Jones: “Hecke al­gebra rep­res­ent­a­tions of braid groups and link poly­no­mi­als,” Ann. Math. (2) 126 : 2 (September 1987), pp. 335–​388. This was re­pub­lished in New De­vel­op­ments in the The­ory of Knots (1990). MR 908150 Zbl 0631.​57005 article

[33] V. Jones: “Sub­factors of type \( \mathrm{II}_1 \) factors and re­lated top­ics,” pp. 939–​947 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Berke­ley, CA, 3–11 Au­gust 1986), vol. 2. Edi­ted by A. M. Gleason. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1987. MR 934296 Zbl 0674.​46034 incollection

[34] V. F. R. Jones: “On knot in­vari­ants re­lated to some stat­ist­ic­al mech­an­ic­al mod­els,” Pac. J. Math. 137 : 2 (1989), pp. 311–​334. MR 990215 Zbl 0695.​46029 article

[35] F. M. Good­man, P. de la Harpe, and V. F. R. Jones: Coxeter graphs and towers of al­geb­ras. MSRI Pub­lic­a­tions 14. Spring­er (New York), 1989. MR 999799 Zbl 0698.​46050 book

[36] D. M. Gold­schmidt and V. F. R. Jones: “Meta­plect­ic link in­vari­ants,” Geom. Ded­icata 31 : 2 (1989), pp. 165–​191. MR 1012438 Zbl 0678.​57007 article

[37] V. F. R. Jones: “On a cer­tain value of the Kauff­man poly­no­mi­al,” Com­mun. Math. Phys. 125 : 3 (1989), pp. 459–​467. MR 1022523 Zbl 0695.​57003 article

[38] V. F. R. Jones: “Notes on sub­factors and stat­ist­ic­al mech­an­ics,” pp. 1–​25 in Braid group, knot the­ory and stat­ist­ic­al mech­an­ics, II. Edi­ted by C. N. Yang and M. L. Ge. Ad­vanced Series in Math­em­at­ic­al Phys­ics 9. World Sci­entif­ic (River Edge, NJ), 1989. Also pub­lished in Int. J. Mod. Phys. A 5:3 (1990) and Braid group, knot the­ory and stat­ist­ic­al mech­an­ics, II (1994). MR 1062421 Zbl 0725.​46038 incollection

[39] R. H. Her­man: “Vaughan F. R. Jones,” No­tices Am. Math. Soc. 37 : 9 (1990), pp. 1211–​1213. article

[40] V. F. R. Jones: “Hecke al­gebra rep­res­ent­a­tions of braid groups and link poly­no­mi­als,” pp. 20–​73 in New De­vel­op­ments in the the­ory of knots. Edi­ted by T. Kohno. Ad­vanced Series in Math­em­at­ic­al Phys­ics 11. World Sci­entif­ic (Singa­pore), 1990. Re­pub­lished from Ann. Math. 126:2 (1987). incollection

[41] V. F. R. Jones: “Notes on sub­factors and stat­ist­ic­al mech­an­ics,” Int. J. Mod. Phys. A 5 : 3 (1990), pp. 441–​460. Also pub­lished in Braid group, knot the­ory and stat­ist­ic­al mech­an­ics, II (1989) and Braid group, knot the­ory and stat­ist­ic­al mech­an­ics, II (1994). MR 1034604 Zbl 0737.​46042 article

[42] V. F. R. Jones: “Bax­ter­iz­a­tion,” pp. 701–​713 in Pro­ceed­ings of the con­fer­ence on Yang–Bax­ter equa­tions, con­form­al in­vari­ance and in­teg­rabil­ity in stat­ist­ic­al mech­an­ics and field the­ory (Can­berra, Aus­tralia, 10–14 Ju­ly 1989), published as Int. J. Mod. Phys. B 4 : 5. Issue edi­ted by M. N. Barber and P. A. Pearce. World Sci­entif­ic (Singa­pore), 1990. Oth­er ver­sions of this were pub­lished in Int. J. Mod. Phys. A 6:12 (1991) and Dif­fer­en­tial geo­met­ric meth­ods in the­or­et­ic­al phys­ics (1990). MR 1064744 Zbl 0723.​57003 incollection

[43] P. de la Harpe and V. Jones: “Paires de sous-algèbres semi-simples et graphes forte­ment réguli­ers” [Pairs of semi-simple sub­al­geb­ras and strongly reg­u­lar graphs], C. R. Acad. Sci., Par­is, Sér. I 311 : 3 (1990), pp. 147–​150. MR 1065880 Zbl 0707.​46039 article

[44] V. Jones: “Knot the­ory and stat­ist­ic­al mech­an­ics,” Sci. Am. 263 : 5 (November 1990), pp. 98–​103. MR 1079724 article

[45] F. Araki and S. Ii­taka: “Pro­files of the ICM-90 Fields Medal prizewin­ner,” Sūgaku 42 : 4 (1990), pp. 361–​366. MR 1083945 article

[46] V. F. R. Jones: “Knots, braids and stat­ist­ic­al mech­an­ics,” pp. 149–​184 in Ad­vances in dif­fer­en­tial geo­metry and to­po­logy. World Sci­entif­ic (Singa­pore), 1990. A later ver­sion of this was pub­lished in In­teg­rable sys­tems and quantum groups (1992). MR 1095535 Zbl 0772.​57008 incollection

[47] V. F. R. Jones: “Bax­ter­iz­a­tion,” pp. 5–​11 in Dif­fer­en­tial geo­met­ric meth­ods in the­or­et­ic­al phys­ics: Phys­ics and geo­metry (Dav­is, CA, 2–8 Ju­ly 1988). Edi­ted by L.-L. Chau and W. Nahm. NATO ASI Series. Series B. Phys­ics 245. Plen­um Press (New York), 1990. Oth­er ver­sions of this were pub­lished in Int. J. Mod. Phys. B 4:5 (1990) and Int. J. Mod. Phys. A 6:12 (1991). MR 1169469 Zbl 1210.​82022 incollection

[48] G. Skan­dal­is: “Médaille Fields de Vaughan Jones” [The Fields Medal of Vaughan Jones], Gaz. Math. 47 (1991), pp. 17–​19. MR 1091904 article

[49] V. F. R. Jones: “Bax­ter­iz­a­tion,” Int. J. Mod. Phys. A 6 : 12 (1991), pp. 2035–​2043. Oth­er ver­sions of this were pub­lished in Int. J. Mod. Phys. B 4:5 (1990) and Dif­fer­en­tial geo­met­ric meth­ods in the­or­et­ic­al phys­ics (1990). MR 1100623 Zbl 0744.​57005 article

[50] Y. Kawahi­gashi: “Vaughan F. R. Jones’ achieve­ments, I,” Sūgaku 43 : 1 (1991), pp. 29–​34. MR 1111238 Zbl 0778.​57001 article

[51] J. Murakami: “Vaughan F. R. Jones’ achieve­ments, II,” Sūgaku 43 : 1 (1991), pp. 35–​40. MR 1111239 article

[52] V. F. R. Jones: Sub­factors and knots (An­na­pol­is, MD, 5–11 June 1988). CBMS Re­gion­al Con­fer­ence Series in Math­em­at­ics 80. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1991. MR 1134131 Zbl 0743.​46058 book

[53] 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. 1. Edi­ted by I. Satake. Math­em­at­ic­al So­ci­ety of Ja­pan (Tokyo), 1991. Re­prin­ted in Fields Medal­lists’ lec­tures (1997). MR 1159199 Zbl 0743.​01023 incollection

[54] V. F. R. Jones: “Von Neu­mann al­geb­ras in math­em­at­ics and phys­ics,” pp. 121–​138 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Kyoto, Ja­pan, 21–29 Au­gust 1990), vol. 1. Edi­ted by I. Satake. Spring­er (Tokyo), 1991. This may have seen an ex­pan­ded re­pub­lic­a­tion in In­tro­duc­tion to mod­ern math­em­at­ics (2015). MR 1159209 Zbl 0781.​46046 incollection

[55] V. F. R. Jones: “Com­mut­ing trans­fer matrices and link poly­no­mi­als,” Int. J. Math. 3 : 2 (1992), pp. 205–​212. An ex­pan­ded ver­sion of this was pub­lished in Dif­fer­en­tial geo­met­ric meth­ods in the­or­et­ic­al phys­ics (1992). MR 1146812 Zbl 0774.​57005 article

[56] V. Jones: “Knots, braids, stat­ist­ic­al mech­an­ics and von Neu­mann al­geb­ras,” pp. 1–​16 in New Zea­l­and math­em­at­ics col­loqui­um (Du­ned­in, New Zea­l­and, 19–23 May 1991), published as New Zea­l­and J. Math. 21. Uni­versity of Auck­land, April 1992. MR 1167459 Zbl 0758.​57002 incollection

[57] V. F. R. Jones: “Knots, braids and stat­ist­ic­al mech­an­ics,” pp. 1–​36 in In­teg­rable sys­tems and quantum groups (Pavia, Italy, 1–2 March 1990). Edi­ted by M. Car­fora, M. Mar­tellini, and A. Mar­zuoli. World Sci­entif­ic (Singa­pore), 1992. An earli­er ver­sion of this was pub­lished in Ad­vances in dif­fer­en­tial geo­metry and to­po­logy (1990). MR 1178540 Zbl 0922.​57007 incollection

[58] R. Schmid: “Strings, knots, and quantum groups: A glimpse at three 1990 Fields medal­ists,” SIAM Rev. 34 : 3 (September 1992), pp. 406–​425. MR 1180070 Zbl 0757.​01029 article

[59] V. F. R. Jones: “From quantum the­ory to knot the­ory and back: A von Neu­mann al­gebra ex­cur­sion,” pp. 321–​336 in Math­em­at­ics in­to the twenty-first cen­tury: Pro­ceed­ings of the AMS centen­ni­al sym­posi­um (Provid­ence, RI, 8–12 Au­gust 1988), vol. 2. Edi­ted by F. E. Browder. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1992. MR 1184618 Zbl 0965.​46042 incollection

[60]Eu­logy of Vaughan Jones,” NZMS News­lett. 55 (August 1992), pp. 9–​10. Eu­logy de­livered by P. T. Tarling. MR 1185251 article

[61] V. F. R. Jones: “Co­in­cid­ent link poly­no­mi­als from com­mut­ing trans­fer matrices,” pp. 137–​151 in Dif­fer­en­tial geo­met­ric meth­ods in the­or­et­ic­al phys­ics: Pro­ceed­ings of the 20th in­ter­na­tion­al con­fer­ence (New York, 3–7 June 1991), vol. 1. Edi­ted by S. Catto and A. Rocha. World Sci­entif­ic (Singa­pore), 1992. This is an ex­pan­ded ver­sion of an art­icle pub­lished in Int. J. Math. 3:2 (1992). MR 1225110 Zbl 0813.​57004 incollection

[62] A. Connes, G. Falt­ings, V. Jones, S. Smale, R. Thom, and J. Wa­gens­berg: “Round-table dis­cus­sion,” pp. 87–​108 in Math­em­at­ic­al re­search today and to­mor­row (Bar­celona, 1991), vol. 1525. Lec­ture Notes in Math. Spring­er, Ber­lin, 1992. MR 1247058 incollection

[63] V. Jones: Spin mod­els, sub­factors and link in­vari­ants, 1993. Kyoto Uni­versity In­fin­ite Ana­lys­is Lec­ture Notes No. 3. Notes by T. Kato. misc

[64] P. de la Harpe and V. F. R. Jones: “Graph in­vari­ants re­lated to stat­ist­ic­al mech­an­ic­al mod­els: Ex­amples and prob­lems,” J. Comb. The­ory, Ser. B 57 : 2 (1993), pp. 207–​227. MR 1207488 Zbl 0729.​57003 article

[65] M. Rosso and V. Jones: “On the in­vari­ants of tor­us knots de­rived from quantum groups,” J. Knot The­ory Rami­fic­a­tions 2 : 1 (1993), pp. 97–​112. MR 1209320 Zbl 0787.​57006 article

[66] V. F. R. Jones: “Mil­nor’s work and knot poly­no­mi­als,” pp. 195–​202 in To­po­lo­gic­al meth­ods in mod­ern math­em­at­ics: Pro­ceed­ings of a sym­posi­um in hon­or of John Mil­nor’s six­tieth birth­day (Stony Brook, NY, 14–21 June 1991). Edi­ted by L. R. Gold­berg and A. V. Phil­lips. Pub­lish or Per­ish (Hou­s­ton, TX), 1993. MR 1215965 Zbl 0833.​57001 incollection

[67] A. Connes, M. Flato, H. Hironaka, A. Jaffe, and V. Jones: “Ed­it­or­i­al (ded­ic­a­tion of this is­sue to Huzi­hiro Araki),” Comm. Math. Phys. 155 : 1 (1993), pp. 1–​2. MR 1228522 article

[68] V. Jones: “Spin mod­el on knot pro­jec­tions,” pp. 195–​200 in Op­er­at­or al­geb­ras, math­em­at­ic­al phys­ics, and low di­men­sion­al to­po­logy (Istan­bul, 1–5 Ju­ly 1991). Edi­ted by R. Her­man and B. Tan­bay. Re­search Notes in Math­em­at­ics 5. A. K. Peters (Welles­ley, MA), 1993. MR 1259065 Zbl 0853.​46079 incollection

[69] V. F. R. Jones: “On a fam­ily of al­most com­mut­ing en­do­morph­isms,” J. Funct. Anal. 122 : 1 (1994), pp. 84–​90. MR 1274584 Zbl 0821.​46076 article

[70] M. G. V. Bogle, J. E. Hearst, V. F. R. Jones, and L. Stoilov: “Lis­sa­jous knots,” J. Knot The­ory Ramif. 3 : 2 (1994), pp. 121–​140. MR 1279916 Zbl 0834.​57005 article

[71] V. F. R. Jones: “A quo­tient of the af­fine Hecke al­gebra in the Brauer al­gebra,” En­sei­gn. Math. (2) 40 : 3–​4 (1994), pp. 313–​344. MR 1309131 Zbl 0852.​20035 article

[72] V. F. R. Jones and D. P. O. Rolf­sen: “A the­or­em re­gard­ing 4-braids and the \( V = 1 \) prob­lem,” pp. 127–​135 in Pro­ceed­ings of the con­fer­ence on quantum to­po­logy (Man­hat­tan, KS, 24–28 March 1993). Edi­ted by D. N. Yet­ter. World Sci­entif­ic (Singa­pore), 1994. MR 1309931 Zbl 0900.​20066 incollection

[73] V. F. R. Jones: “The Potts mod­el and the sym­met­ric group,” pp. 259–​267 in Sub­factors: Pro­ceed­ings of the Tanigu­chi sym­posi­um on op­er­at­or al­geb­ras (Ky­uzeso, Ja­pan, 6–10 Ju­ly 1993). Edi­ted by H. Araki, H. Ko­saki, and Y. Kawahi­gashi. World Sci­entif­ic (Singa­pore), 1994. MR 1317365 Zbl 0938.​20505 incollection

[74] V. F. R. Jones: “Notes on sub­factors and stat­ist­ic­al mech­an­ics,” pp. 177–​201 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. Also pub­lished in Braid group, knot the­ory and stat­ist­ic­al mech­an­ics, II (1989) and Int. J. Mod. Phys. A 5:3 (1990). MR 1338603 Zbl 0822.​46074 incollection

[75] R. Bach­er, P. de la Harpe, and V. Jones: “Carrés com­mut­atifs et in­vari­ants de struc­tures com­bin­atoires” [Com­mut­ing squares and in­vari­ants of com­bin­at­or­i­al struc­tures], C. R. Acad. Sci. Par­is Sér. I Math. 320 : 9 (1995), pp. 1049–​1054. MR 1332609 Zbl 0826.​16024 article

[76] V. F. R. Jones: “Three lec­tures on knots and von Neu­mann al­geb­ras,” pp. 96–​113 in In­fin­ite-di­men­sion­al geo­metry, non­com­mut­at­ive geo­metry, op­er­at­or al­geb­ras, fun­da­ment­al in­ter­ac­tions (Saint-François, Guade­loupe, 30 May–13 June 1993). Edi­ted by R. Coquer­eaux, M. Dubois-Vi­ol­ette, and P. Flad. World Sci­entif­ic (River Edge, NJ), 1995. MR 1382136 incollection

[77] V. Jones: “Fu­sion en algèbres de von Neu­mann et groupes de lacets (d’après A. Wasser­mann)” [Fu­sion in von Neu­mann al­geb­ras and loop groups (after A. Wasser­mann)], pp. 251–​273 in Sémin­aire Bourbaki, vol. 1994/95. Astérisque 237. 1996. Ex­posé no. 800. MR 1423627 Zbl 0921.​46066 incollection

[78] D. Bisch and V. Jones: “A note on free com­pos­i­tion of sub­factors,” pp. 339–​361 in Geo­metry and phys­ics (Aar­hus, Den­mark, 18–27 Ju­ly 1995). Edi­ted by J. E. An­der­sen, J. Dupont, H. Ped­er­sen, and A. Swann. Lec­ture Notes in Pure and Ap­plied Math­em­at­ics 184. Dek­ker (New York), 1997. MR 1423180 Zbl 0968.​46045 incollection

[79] D. Bisch and V. Jones: “Al­geb­ras as­so­ci­ated to in­ter­me­di­ate sub­factors,” In­vent. Math. 128 : 1 (1997), pp. 89–​157. MR 1437496 Zbl 0891.​46035 article

[80] V. Jones and H. Mo­scov­ici: “Book re­view: Alain Connes, ‘Non­com­mut­at­ive geo­metry’,” No­tices Am. Math. Soc. 44 : 7 (1997), pp. 792–​799. MR 1460207 Zbl 0908.​46041 article

[81] V. Jones and V. S. Sun­der: In­tro­duc­tion to sub­factors. Lon­don Math­em­at­ic­al So­ci­ety Lec­ture Note Series 234. Cam­bridge Uni­versity Press, 1997. MR 1473221 Zbl 0903.​46062 book

[82] 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. World Sci­entif­ic Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. Re­prin­ted from Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (1991). MR 1622915 incollection

[83] V. F. R. Jones: “A poly­no­mi­al in­vari­ant for knots via von Neu­mann al­geb­ras,” pp. 448–​458 in Fields Medal­lists’ lec­tures. Edi­ted by M. Atiyah and D. Iag­ol­nitzer. World Sci­entif­ic Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. Lec­ture based on an art­icle pub­lished in Bull. Am. Math. Soc. 12:1 (1985). MR 1622916 incollection

[84] V. F. R. Jones: “In­dex for sub­factors,” pp. 459–​486 in Fields Medal­lists’ lec­tures. Edi­ted by M. Atiyah and D. Iag­ol­nitzer. World Sci­entif­ic Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. This lec­ture was based on an art­icle pub­lished in In­vent. Math. 72:1 (1983). MR 1622917 incollection

[85] V. Jones: “Book re­view: D. Evans and Y. Kawahi­gashi, ‘Quantum sym­met­ries on op­er­at­or al­geb­ras’,” Bull. Am. Math. Soc. 38 : 3 (1998), pp. 369–​377. article

[86] Knot the­ory (Warsaw, 13 Ju­ly–17 Au­gust 1995). Edi­ted by V. F. R. Jones, J. Kania-Bar­toszyńska, J. H. Przytycki, and V. G. Traczyk, Pawełand Tur­aev. Banach Cen­ter Pub­lic­a­tions 42. Pol­ish Academy of Sci­ences, In­sti­tute of Math­em­at­ics (Warsaw), 1998. MR 1634442 Zbl 0890.​00048 book

[87] V. F. R. Jones and J. H. Przytycki: “Lis­sa­jous knots and bil­liard knots,” pp. 145–​163 in Knot the­ory (Warsaw, 13 Ju­ly–17 Au­gust 1995). Edi­ted by V. F. R. Jones, J. Kania-Bar­toszyńska, J. H. Przytycki, P. Traczyk, and V. G. Tur­aev. Banach Cen­ter Pub­lic­a­tions 42. Pol­ish Academy of Sci­ences, In­sti­tute of Math­em­at­ics (Warsaw), 1998. MR 1634454 Zbl 0901.​57012 incollection

[88] V. F. R. Jones: “A credo of sorts,” pp. 203–​214 in Truth in math­em­at­ics (Mus­someli, Italy, 13–20 Septem­ber 1995). Edi­ted by H. G. Dales and G. Oliv­eri. Ox­ford Uni­versity Press (New York), 1998. MR 1688343 Zbl 1041.​57500 incollection

[89] V. F. R. Jones: Planar al­geb­ras, I. Pre­print, September 1999. Zbl 1328.​46049 ArXiv math/​9909027 techreport

[90] D. Bisch and V. Jones: “Singly gen­er­ated planar al­geb­ras of small di­men­sion,” Duke Math. J. 101 : 1 (2000), pp. 41–​75. Part II was pub­lished in Adv. Math. 175:2 (2003). Part III was pub­lished in Trans. Am. Math. Soc. 369:14 (2017). MR 1733737 Zbl 1075.​46053 article

[91] V. F. R. Jones: “Ten prob­lems,” pp. 79–​91 in Math­em­at­ics: Fron­ti­ers and per­spect­ives. Edi­ted by V. Arnold, M. Atiyah, P. Lax, and B. Mazur. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2000. MR 1754769 Zbl 0969.​57001 incollection

[92] V. Jones: “Matem­atik för ett nytt årtusende” [Math­em­at­ics for a new mil­len­ni­um], Nor­mat 48 : 4 (2000), pp. 145–​152. MR 1829722 Zbl 1031.​01014 article

[93] Knots in Hel­las ’98: Pro­ceed­ings of the in­ter­na­tion­al con­fer­ence on knot the­ory an its rami­fic­a­tions (Delphi, Greece, 7–15 Au­gust 1998), vol. 1. Edi­ted by C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, and J. H. Przytycki. Series on Knots and Everything 24. World Sci­entif­ic (River Edge, NJ), 2000. Volume 2 was pub­lished as J. Knot The­ory Ramif. 10:2 (2001). Volume 3 was pub­lished as J. Knot The­ory Ramif. 10:5 (2001). MR 1865695 Zbl 0959.​00034 book

[94] V. F. R. Jones: “The planar al­gebra of a bi­part­ite graph,” pp. 94–​117 in Knots in Hel­las ’98: Pro­ceed­ings of the in­ter­na­tion­al con­fer­ence on knot the­ory an its rami­fic­a­tions (Delphi, Greece, 7–15 Au­gust 1998), vol. 1. Edi­ted by C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, and J. H. Przytycki. Series on Knots and Everything 24. World Sci­entif­ic (River Edge, NJ), 2000. MR 1865703 Zbl 1021.​46047 incollection

[95] Knots in Hel­las ’98: Pro­ceed­ings of the in­ter­na­tion­al con­fer­ence on knot the­ory an its rami­fic­a­tions, volume 2 (Delphi, Greece, 7–15 Au­gust 1998), published as J. Knot The­ory Ramif. 10 : 2. Issue edi­ted by C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, and J. H. Przytycki. World Sci­entif­ic (Singa­pore), 2001. Volume 1 was pub­lished as a stan­dalone book in 2001. MR 1822488 book

[96] Knots in Hel­las ’98: Pro­ceed­ings of the in­ter­na­tion­al con­fer­ence on knot the­ory an its rami­fic­a­tions, volume 3 (Delphi, Greece, 7–15 Au­gust 1998), published as J. Knot The­ory Ramif. 10 : 5. Issue edi­ted by C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, and J. H. Przytycki. World Sci­entif­ic (Singa­pore), 2001. Volume 1 was pub­lished as a stan­dalone book in 2001. MR 1839692 book

[97] V. F. R. Jones: “The an­nu­lar struc­ture of sub­factors,” pp. 401–​463 in Es­says on geo­metry and re­lated top­ics: Mémoires dédiés à An­dré Hae­fli­ger [Es­says on geo­metry and re­lated top­ics: Mem­oirs ded­ic­ated to An­dré Hae­fli­ger], vol. 2. Edi­ted by É. Ghys, P. de la Harpe, V. F. R. Jones, V. Ser­gi­es­cu, and T. Tsuboi. Mono­graph­ies de l’En­sei­gne­ment Mathématique 38. En­sei­gne­ment Mathématique (Geneva), 2001. MR 1929335 Zbl 1019.​46036 ArXiv math/​0105071 incollection

[98] Es­says on geo­metry and re­lated top­ics: Mémoires dédiés à An­dré Hae­fli­ger [Es­says on geo­metry and re­lated top­ics: Mem­oirs ded­ic­ated to An­dré Hae­fli­ger], vol. 1. Edi­ted by É. Ghys, P. de la Harpe, V. F. R. Jones, V. Ser­gi­es­cu, and T. Tsuboi. Mono­graph­ies de l’En­sei­gne­ment Mathématique 38. En­sei­gne­ment Mathématique (Geneva), 2001. MR 1929318 Zbl 0988.​00114 book

[99] Es­says on geo­metry and re­lated top­ics: Mémoires dédiés à An­dré Hae­fli­ger [Es­says on geo­metry and re­lated top­ics: Mem­oirs ded­ic­ated to An­dré Hae­fli­ger], vol. 2. Edi­ted by É. Ghys, P. de la Harpe, V. F. R. Jones, V. Ser­gi­es­cu, and T. Tsuboi. Mono­graph­ies de l’En­sei­gne­ment Mathématique 38. En­sei­gne­ment Mathématique (Geneva), 2001. Zbl 0988.​00115 book

[100] D. Bisch and V. Jones: “Singly gen­er­ated planar al­geb­ras of small di­men­sion, II,” Adv. Math. 175 : 2 (May 2003), pp. 297–​318. Part I was pub­lished in Duke Math. J. 101:1 (2000). Part III was pub­lished in Trans. Am. Math. Soc. 369:14 (2017). MR 1972635 Zbl 1041.​46048 article

[101] V. F. R. Jones and F. Xu: “In­ter­sec­tions of fi­nite fam­il­ies of fi­nite in­dex sub­factors,” Int. J. Math. 15 : 7 (2004), pp. 717–​733. MR 2085101 Zbl 1059.​46043 ArXiv math/​0406331 article

[102] Spe­cial is­sue based on the 2nd in­ter­na­tion­al con­fer­ence “Knots in Po­land” (Warsaw, 7–13 Ju­ly 2003 and Bce­dillaone­dle­wo, 14–27 Ju­ly 2003), published as Fun­dam. Math. 184. Issue edi­ted by V. F. R. Jones, V. Tu­ar­ev, B. Wa­jnryb, and J. H. Przytycki. Pol­ish Academy of Sci­ences, In­sti­tute of Math­em­at­ics (Warsaw), 2004. Spe­cial volumes of Fun­da­menta Math­em­at­icae based on this con­fer­ence were also pub­lished in 2005 (188) and 2006 (190). MR 2128038 Zbl 1065.​57500 book

[103] Spe­cial is­sue based on the 2nd in­ter­na­tion­al con­fer­ence “Knots in Po­land” (Warsaw, 7–13 Ju­ly 2003 and Bce­dillaone­dle­wo, 14–27 Ju­ly 2003), published as Fun­dam. Math. 188. Issue edi­ted by V. F. R. Jones, V. Tu­ar­ev, B. Wa­jnryb, and J. H. Przytycki. Pol­ish Academy of Sci­ences, In­sti­tute of Math­em­at­ics (Warsaw), 2005. Spe­cial volumes of Fun­da­menta Math­em­at­icae based on this con­fer­ence were also pub­lished in 2004 (184) and 2006 (190). MR 2193063 Zbl 1087.​57500 book

[104] V. Jones: “The Jones poly­no­mi­al,” pp. 179–​181 in En­cyc­lo­pe­dia of math­em­at­ic­al phys­ics, vol. 3. Edi­ted by J.-P. Françoise, G. L. Naber, and S. T. Tsou. El­sevi­er (Am­s­ter­dam), 2006. incollection

[105] M. Con­d­er and V. Jones: “Highly trans­it­ive im­prim­it­iv­it­ies,” J. Al­gebra 300 : 1 (2006), pp. 44–​56. MR 2228633 Zbl 1111.​20001 article

[106] V. F. R. Jones and S. A. Reznikoff: “Hil­bert space rep­res­ent­a­tions of the an­nu­lar Tem­per­ley–Lieb al­gebra,” Pac. J. Math. 228 : 2 (2006), pp. 219–​249. MR 2274519 Zbl 1131.​46042 article

[107] D. Ahar­onov, V. Jones, and Z. Land­au: “A poly­no­mi­al quantum al­gorithm for ap­prox­im­at­ing the Jones poly­no­mi­al,” pp. 427–​436 in STOC’06: Pro­ceed­ings of the 38th an­nu­al ACM sym­posi­um on the­ory of com­put­ing (Seattle, WA, 21–23 May 2006). Edi­ted by J. M. Klein­berg. ACM Press (New York), 2006. MR 2277168 Zbl 1301.​68129 incollection

[108] Spe­cial is­sue based on the 2nd in­ter­na­tion­al con­fer­ence “Knots in Po­land” (Warsaw, 7–13 Ju­ly 2003 and Bce­dillaone­dle­wo, 14–27 Ju­ly 2003), published as Fun­dam. Math. 190. Issue edi­ted by V. F. R. Jones, V. Turev, B. Wa­jnryb, and J. H. Przytycki. Pol­ish Academy of Sci­ences, In­sti­tute of Math­em­at­ics (Warsaw), 2006. Spe­cial volumes of Fun­da­menta Math­em­at­icae based on this con­fer­ence were also pub­lished in 2004 (184) and 2005 (188). Zbl 1101.​57300 book

[109] P. Gross­man and V. F. R. Jones: “In­ter­me­di­ate sub­factors with no ex­tra struc­ture,” J. Am. Math. Soc. 20 : 1 (2007), pp. 219–​265. MR 2257402 Zbl 1131.​46041 ArXiv math/​0412423 article

[110] V. F. R. Jones: “In and around the ori­gin of quantum groups,” pp. 101–​126 in Pro­spects in math­em­at­ic­al phys­ics: Young re­search­ers sym­posi­um of the 14th in­ter­na­tion­al con­gress on math­em­at­ic­al phys­ics (Lis­bon, 25–26 Ju­ly 2003). Edi­ted by J. C. Mourão, J. P. Nunes, R. Pick­en, and J.-C. Zam­brini. Con­tem­por­ary Math­em­at­ics 437. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2007. MR 2354658 Zbl 1129.​81046 ArXiv math/​0309199 incollection

[111] V. F. R. Jones: “Two sub­factors and the al­geb­ra­ic de­com­pos­i­tion of bimod­ules over \( \mathrm{II}_1 \) factors,” Acta Math. Vi­et­nam. 33 : 3 (2008), pp. 209–​218. MR 2501843 Zbl 1182.​46049 article

[112] D. Bisch, D. Ga­boriau, V. F. R. Jones, and S. Popa: “Von Neu­mann al­geb­ras and er­god­ic the­ory of group ac­tions,” Ober­wolfach Rep. 5 : 4 (2008), pp. 2763–​2814. MR 2568656 Zbl 1178.​46003 article

[113] V. Jones: “On the ori­gin and de­vel­op­ment of sub­factors and quantum to­po­logy,” Bull. Am. Math. Soc. (N.S.) 46 : 2 (2009), pp. 309–​326. MR 2476415 Zbl 1169.​46030 article

[114] D. Ahar­onov, V. Jones, and Z. Land­au: “A poly­no­mi­al quantum al­gorithm for ap­prox­im­at­ing the Jones poly­no­mi­al,” Al­gorith­mica 55 : 3 (2009), pp. 395–​421. MR 2512029 Zbl 1191.​68313 ArXiv quant-​ph/​0511096 article

[115] V. Jones, D. Shlyakhten­ko, and K. Walk­er: “An or­tho­gon­al ap­proach to the sub­factor of a planar al­gebra,” Pac. J. Math. 246 : 1 (2010), pp. 187–​197. MR 2645882 Zbl 1195.​46067 ArXiv 0807.​4146 article

[116] A. Guion­net, V. F. R. Jones, and D. Shlyakhten­ko: “Ran­dom matrices, free prob­ab­il­ity, planar al­geb­ras and sub­factors,” pp. 201–​239 in Quanta of maths: Con­fer­ence on non com­mut­at­ive geo­metry in hon­or of Alain Connes (Par­is, 29 March–6 April 2007). Edi­ted by E. Blan­chard, D. Ell­wood, M. Khalkhali, M. Mar­colli, H. Mo­scov­ici, and S. Popa. Clay Math­em­at­ics Pro­ceed­ings 11. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2010. MR 2732052 Zbl 1219.​46057 ArXiv 0712.​2904 incollection

[117] A. Guion­net, V. Jones, and D. Shlyakhten­ko: “A semi-fi­nite al­gebra as­so­ci­ated to a sub­factor planar al­gebra,” J. Funct. Anal. 261 : 5 (September 2011), pp. 1345–​1360. MR 2807103 Zbl 1230.​46054 article

[118] V. F. R. Jones and D. Pen­neys: “The em­bed­ding the­or­em for fi­nite depth sub­factor planar al­geb­ras,” Quantum To­pol. 2 : 3 (2011), pp. 301–​337. MR 2812459 Zbl 1230.​46055 ArXiv 1007.​3173 article

[119] E. Artal Bar­to­lo and M. T. Loz­ano Imíz­coz: “Sir Vaughan Fre­d­er­ick Ran­dal Jones,” Gac. R. Soc. Mat. Esp. 14 : 3 (2011), pp. 579–​591. MR 2868302 article

[120] V. F. R. Jones: “Quad­rat­ic tangles in planar al­geb­ras,” Duke Math. J. 161 : 12 (2012), pp. 2257–​2295. MR 2972458 Zbl 1257.​46033 ArXiv 1007.​1158 article

[121] A. Guion­net, V. F. R. Jones, D. Shlyakhten­ko, and P. Zinn-Justin: “Loop mod­els, ran­dom matrices and planar al­geb­ras,” Comm. Math. Phys. 316 : 1 (2012), pp. 45–​97. MR 2989453 Zbl 1277.​82013 ArXiv 1012.​0609 article

[122] M. Izumi, V. F. R. Jones, S. Mor­ris­on, and N. Snyder: “Sub­factors of in­dex less than 5, III: Quad­ruple points,” Comm. Math. Phys. 316 : 2 (2012), pp. 531–​554. MR 2993924 Zbl 1272.​46051 ArXiv 1109.​3190 article

[123] S. Cur­ran, V. F. R. Jones, and D. Shlyakhten­ko: “On the sym­met­ric en­vel­op­ing al­gebra of planar al­gebra sub­factors,” Trans. Am. Math. Soc. 366 : 1 (2014), pp. 113–​133. MR 3118393 Zbl 1296.​46054 ArXiv 1105.​1721 article

[124] V. F. R. Jones, S. Mor­ris­on, and N. Snyder: “The clas­si­fic­a­tion of sub­factors of in­dex at most 5,” Bull. Am. Math. Soc. (N.S.) 51 : 2 (2014), pp. 277–​327. MR 3166042 Zbl 1301.​46039 ArXiv 1304.​6141 article

[125] É. Ghys, R. Grig­orchuk, V. Jones, and T. Nag­nibeda: “Pierre a septante ans” [Pierre is sev­enty], pp. 599–​603 in Spe­cial is­sue on the oc­ca­sion of Pierre de la Harpe’s 70th birth­day, published as Groups Geom. Dyn. 8 : 3. European Pub­lish­ing House (Zürich), 2014. MR 3267516 incollection

[126] V. F. R. Jones and D. Pen­neys: “In­fin­ite in­dex sub­factors and the GI­CAR cat­egor­ies,” Comm. Math. Phys. 339 : 2 (2015), pp. 729–​768. MR 3370617 Zbl 1338.​46067 ArXiv 1410.​0856 article

[127] A. Broth­i­er and V. F. R. Jones: “Hil­bert mod­ules over a planar al­gebra and the Haagerup prop­erty,” J. Funct. Anal. 269 : 11 (December 2015), pp. 3634–​3644. MR 3406863 Zbl 1339.​46058 ArXiv 1503.​02708 article

[128] D. Bisch, T. J. Gan­non, V. F. R. Jones, and Y. Kawahi­gashi: “Sub­factors and con­form­al field the­ory,” Ober­wolfach Rep. 12 : 2 (2015), pp. 849–​926. MR 3443131 Zbl 1380.​00034 article

[129] V. Jones: “Von Neu­mann al­geb­ras in math­em­at­ics and phys­ics,” pp. 285–​321 in In­tro­duc­tion to mod­ern math­em­at­ics. Edi­ted by S.-Y. Cheng, L. Ji, Y.-S. Poon, J. Xiao, L. Yang, and S.-T. Yau. Ad­vanced Lec­tures in Math­em­at­ics 33. In­ter­na­tion­al Press (Somerville, MA), 2015. This may have been an ex­pan­ded re­pub­lic­a­tion of the au­thor’s 1990 ICM lec­ture. MR 3445454 Zbl 1356.​46001 incollection

[130] A. Connes, V. Jones, M. Mus­at, and M. Rør­dam: “Uffe Haagerup — in me­mori­am,” No­tices Am. Math. Soc. 63 : 1 (January 2016), pp. 48–​49. MR 3410853 Zbl 1338.​46005 article

[131] V. F. R. Jones: “Knots, groups, sub­factors and phys­ics,” Jpn. J. Math. (3) 11 : 1 (2016), pp. 69–​111. MR 3510680 Zbl 1361.​46048 article

[132] V. Jones: “Some unit­ary rep­res­ent­a­tions of Thompson’s groups \( F \) and \( T \),” J. Comb. Al­gebra 1 : 1 (2017), pp. 1–​44. MR 3589908 Zbl 06684911 ArXiv 1412.​7740 article

[133] D. Bisch, V. F. R. Jones, and Z. Liu: “Singly gen­er­ated planar al­geb­ras of small di­men­sion, III,” Trans. Am. Math. Soc. 369 : 4 (2017), pp. 2461–​2476. Part I was pub­lished in Duke Math. J. 101:1 (2000). Part II was pub­lished in Adv. Math. 175:2 (2003). MR 3592517 Zbl 1370.​46036 ArXiv 1410.​2876 article

[134] The 2014 Maui and 2015 Qin­huang­dao con­fer­ences in hon­our of Vaughan F. R. Jones’ 60th birth­day (Ki­hei, HI, 14–18 Ju­ly 2014 and Qin­huang­dao, China 13–17 Ju­ly 2015). Edi­ted by S. Mor­ris­on and D. Pen­neys. Pro­ceed­ings of the Centre for Math­em­at­ics and its Ap­plic­a­tions 46. Aus­trali­an Na­tion­al Uni­versity (Can­berra), 2017. MR 3635666 Zbl 1386.​46002 book

[135] V. F. R. Jones: “A no-go the­or­em for the con­tinuum lim­it of a peri­od­ic quantum spin chain,” Comm. Math. Phys. 357 : 1 (2018), pp. 295–​317. MR 3764571 Zbl 1397.​82025 ArXiv 1607.​08769 article

[136] V. F. R. Jones: “Scale in­vari­ant trans­fer matrices and Hamilto­ni­ans,” J. Phys. A 51 : 10 (2018). art­icle no. 104001, 27 pages. MR 3766219 Zbl 1387.​82010 ArXiv 1706.​00515 article

[137] V. Ai­ello, R. Conti, and V. F. R. Jones: “The Hom­flypt poly­no­mi­al and the ori­ented Thompson group,” Quantum To­pol. 9 : 3 (2018), pp. 461–​472. MR 3827807 Zbl 1397.​57022 ArXiv 1609.​02484 article

[138] Knots, low-di­men­sion­al to­po­logy and ap­plic­a­tions — Part I, published as J. Knot The­ory Ramif. 28 : 11. Issue edi­ted by C. C. Adams, C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, K. Mil­lett, J. H. Przytycki, R. Ricca, and R. Sazdan­ovic. World Sci­entif­ic (Singa­pore), 2019. book

[139] Knots, low-di­men­sion­al to­po­logy and ap­plic­a­tions — Part II, published as J. Knot The­ory Ramif. 28 : 13. Issue edi­ted by C. C. Adams, C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, K. Mil­lett, J. H. Przytycki, R. Ricca, and R. Sazdan­ovic. World Sci­entif­ic (Singa­pore), 2019. book

[140] V. F. R. Jones: Ir­re­du­cib­il­ity of the Wysi­wyg rep­res­ent­a­tions of Thompson’s groups. Pre­print, June 2019. ArXiv 1906.​09619 techreport

[141] Knots, low-di­men­sion­al to­po­logy and ap­plic­a­tions: Knots in Hel­las (Olympia, Greece, 17–23 Ju­ly 2016). Edi­ted by C. C. Adams, C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, K. C. Mil­lett, J. H. Przytycki, R. Ricca, and R. Sazdan­ovic. Spring­er Pro­ceed­ings in Math­em­at­ics & Stat­ist­ics 284. Spring­er (Cham, Switzer­land), 2019. MR 3986037 Zbl 1419.​57001 book

[142] V. F. R. Jones: “On the con­struc­tion of knots and links from Thompson’s groups,” pp. 43–​66 in Knots, low-di­men­sion­al to­po­logy and ap­plic­a­tions: Knots in Hel­las (Olympia, Greece, 17–23 Ju­ly 2016). Edi­ted by C. C. Adams, C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, K. C. Mil­lett, J. H. Przytycki, R. Ricca, and R. Sazdan­ovic. Spring­er Pro­ceed­ings in Math­em­at­ics & Stat­ist­ics 284. Spring­er (Cham, Switzer­land), 2019. MR 3986040 Zbl 1423.​57013 ArXiv 1810.​06034 incollection

[143] A. Broth­i­er and V. F. R. Jones: “Py­thagorean rep­res­ent­a­tions of Thompson’s groups,” J. Funct. Anal. 277 : 7 (October 2019), pp. 2442–​2469. MR 3989149 Zbl 07089431 ArXiv 1807.​06215 article

[144] A. Broth­i­er and V. F. R. Jones: “On the Haagerup and Kazh­dan prop­er­ties of R. Thompson’s groups,” J. Group The­ory 22 : 5 (2019), pp. 795–​807. MR 4000616 Zbl 07104291 ArXiv 1805.​02177 article

[145] C. C. Adams, C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, K. Mil­lett, J. H. Przytycki, R. Ricca, and R. Sazdan­ovic: “Pre­face” in Knots, low-di­men­sion­al to­po­logy and ap­plic­a­tions — Part I, published as J. Knot The­ory Ramif. 28 : 11. Issue edi­ted by C. C. Adams, C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, K. Mil­lett, J. H. Przytycki, R. Ricca, and R. Sazdan­ovic. World Sci­entif­ic (Singa­pore), October 2019. art­icle no. 1902001, 7 pages. MR 4038325 Zbl 07139437 incollection

[146] C. C. Adams, C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, K. Mil­lett, J. H. Przytycki, R. Ricca, and R. Sazdan­ovic: “Pre­face” in Knots, low-di­men­sion­al to­po­logy and ap­plic­a­tions — Part II, published as J. Knot The­ory Ramif. 28 : 13. Issue edi­ted by C. C. Adams, C. M. Gor­don, V. F. R. Jones, L. H. Kauff­man, S. Lam­bro­poulou, K. Mil­lett, J. H. Przytycki, R. Ricca, and R. Sazdan­ovic. World Sci­entif­ic (Singa­pore), November 2019. art­icle no. 1903001, 15 pages. MR 4070944 Zbl 07177773 incollection

[147] V. F. R. Jones: Berg­man space zero sets, mod­u­lar forms, von Neu­mann al­geb­ras and ordered groups. Pre­print, June 2020. ArXiv 2006.​16419 techreport

[148] V. F. R. Jones and J. Yang: Motzkin al­geb­ras and the \( A_n \) tensor cat­egor­ies of bimod­ules. Pre­print, August 2020. ArXiv 2008.​04487 techreport

[149] V. F. R. Jones: “On spec­tral meas­ures for cer­tain unit­ary rep­res­ent­a­tions of R. Thompson’s group \( F \),” J. Funct. Anal. 280 : 1 (January 2020). art­icle no. 108777, 27 pages. MR 4156130 ArXiv 1905.​05806 article