Celebratio Mathematica

Vaughan F. R. Jones

Vaughan Jones, in Geneva and everywhere else

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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

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

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

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

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

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

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

V. F. R. Jones: Planar al­geb­ras, I. Pre­print, De­part­ment of Math­em­at­ics, Uni­versity of Cali­for­nia, Berke­ley, 1999. ArXiv math/​9909027v1 techreport

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

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

T. Evans and V. F. R. Jones: A con­ver­sa­tion with Sir Vaughan Jones, New Zea­l­and math­em­atician and Fields medal­ist, 2016. Video in­ter­view, Uni­versity of Auck­land. misc

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

V. F. R. Jones: “Cor­res­pond­ence with Vaughan Jones,” Cel­eb­ra­tio Math­em­at­ica (2019). article