Vaughan Frederick Randal Jones의 정보
수상나이 38
출생년도 1952
사망년도
출생지 Gisborne(New Zealand)
현재소속 University of California at Berkeley
연구실적 [자세히 보기]
관련출판물 1.F Araki and S Iitaka, Profiles of the ICM-90 Fields Medal prizewinner (Japanese), Sugaku 42 (4) (1990), 361-366.

2.J S Birman, On the work of Vaughan F R Jones, Addresses on the works of Fields medalists and Rolf Nevanlinna Prize winner (Tokyo, 1990).

3.J S Birman, The work of Vaughan F R Jones, Proceedings of the International Congress of Mathematicians, Kyoto, 1990 I (Tokyo, 1991), 9-18.

4.Eulogy of Vaughan Jones, New Zealand Math. Soc. Newslett. No. 55 (1992), 9-10.

5.ICM-90 Kyoto, Japan, Notices Amer. Math. Soc. 37 (9) (1990), 1209-1216.

6.Y Kawahigashi, Vaughan F R Jones achievements I (Japanese), Sugaku 43 (1) (1991), 29-34.

7.C C King, Vaughan Jones and knot theory : a New Zealand mathematician unravels a new invariant which links diverse sciences in an unforeseen thread, New Zealand Math. Soc. Newslett. No. 37 (1986), 28-32.

8.J Murakami, V F R Jones achievements II (Japanese), Sugaku 43 (1) (1991), 35-40.

9.G Skandalis, M?daille Fields de Vaughan Jones, Gaz. Math. No. 47 (1991), 17-19.

10.R Schmid, Strings, knots, and quantum groups: a glimpse at three 1990 Fields medalists, SIAM Rev. 34 (3) (1992), 406-425.

시상내역 Jones worked on the Index Theorem for von Neumann algebras, continuing work begun by Connes and others. His most remarkable contribution, however, was that in the course of this work he discovered a new polynomial invariant for knots which led to surprising connections between apparently quite different areas of mathematics.
Other Award Guggenheim Followship(1986), New Zealand Government Science Medal(1991)
연구단행본 [1] Jones, Vaughan F. R. The planar algebra of a bipartite graph. Knots in Hellas '98 (Delphi), 94--117, Ser. Knots Everything, 24, World Sci. Publishing, River Edge, NJ, 2000. 57M15
[2] Knots in Hellas '98. Proceedings of the International Conference on Knot Theory and its Ramifications held in Delphi, August 7--15, 1998. Edited by C. McA. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou and J. H. Przytycki. Series on Knots and Everything, 24. World Scientific Publishing Co., Inc., River Edge, NJ, 2000. x+568 pp. ISBN: 981-02-4340-5 57-06 (57M25 57M27)
[3] Knots in Hellas '98. Vol. 2. Proceedings of the International Conference on Knot Theory and its Ramifications held in Delphi, August 7--15, 1998. Edited by C. McA. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou and J. H. Przytycki. J. Knot Theory Ramifications 10 (2001), no. 2. World Scientific Publishing Co., Singapore, 2001. pp. i--viii and 171--343. 57-06 (57M25 57M27)
[4] Jones, V. F. R. Ten problems. Mathematics: frontiers and perspectives, 79--91, Amer. Math. Soc., Providence, RI, 2000. 57-02 (46L10 46L37 46L60 57M25 82B23)
[5] Jones, Vaughan F. R.; Przytycki, Józef H. Lissajous knots and billiard knots. Knot theory (Warsaw, 1995), 145--163, Banach Center Publ., 42, Polish Acad. Sci., Warsaw, 1998. 57M25
[6] Knot theory. Papers from the mini-semester held in Warsaw, July 13--August 17, 1995. Edited by Vaughan F. R. Jones, Joanna Kania-Bartoszy\'nska, Józef H. Przytycki, Pawe\l Traczyk and Vladimir G. Turaev. Banach Center Publications, 42. Polish Academy of Sciences, Institute of Mathematics, Warsaw, 1998. 463 pp. 57-06 (57M25)
[7] Jones, V.; Sunder, V. S. Introduction to subfactors. London Mathematical Society Lecture Note Series, 234. Cambridge University Press, Cambridge, 1997. xii+162 pp. ISBN: 0-521-58420-5 46L37 (46-01 46L10 57M25)
[8] Bisch, Dietmar; Jones, Vaughan A note on free composition of subfactors. Geometry and physics (Aarhus, 1995), 339--361, Lecture Notes in Pure and Appl. Math., 184, Dekker, New York, 1997. 46L37 (46L10)
[9] Jones, V. F. R. The Potts model and the symmetric group. Subfactors (Kyuzeso, 1993), 259--267, World Sci. Publishing, River Edge, NJ, 1994. 82B20 (20C30 46L60)
[10] Jones, V. F. R. Notes on subfactors and statistical mechanics. Braid group, knot theory and statistical mechanics, II, 177--201, Adv. Ser. Math. Phys., 17, World Sci. Publishing, River Edge, NJ, 1994. 46L37 (17B37 46L60 82B20)
[11] Jones, Vaughan F. R.; Rolfsen, Dale P. O. A theorem regarding $4$-braids and the $V=1$ problem. Proceedings of the Conference on Quantum Topology (Manhattan, KS, 1993), 127--135, World Sci. Publishing, River Edge, NJ, 1994. 57M25
[12] Jones, Vaughan Spin model on knot projections. Operator algebras, mathematical physics, and low-dimensional topology (Istanbul, 1991), 195--200, Res. Notes Math., 5, A K Peters, Wellesley, MA, 1993. 57M25 (57M15 81R50 82B23)
[13] Jones, Vaughan F. R. Coincident link polynomials from commuting transfer matrices. Proceedings of the XXth International Conference on Differential Geometric Methods in Theoretical Physics, Vol. 1, 2 (New York, 1991), 137--151, World Sci. Publishing, River Edge, NJ, 1992. 57M25 (82B23)
[14] Jones, V. F. R. Milnor's work and knot polynomials. Topological methods in modern mathematics (Stony Brook, NY, 1991), 195--202, Publish or Perish, Houston, TX, 1993. 57M25
[15] Jones, V. F. R. From quantum theory to knot theory and back: a von Neumann algebra excursion. American Mathematical Society centennial publications, Vol. II (Providence, RI, 1988), 321--336, Amer. Math. Soc., Providence, RI, 1992. 46L10 (46L60 57M25 82B23)
[16] Jones, Vaughan F. R. von Neumann algebras in mathematics and physics. A plenary address presented at the International Congress of Mathematicians held in Kyoto, August 1990. ICM-90. Mathematical Society of Japan, Tokyo; distributed outside Asia by the American Mathematical Society, Providence, RI, 1990. 1 videocassette (NTSC; 1/2 inch; VHS) (60 min.); sd., col. ISBN: 0-8218-8053-5 46Lxx (46-02 57M25 81R50 81T40)
[17] Jones, Vaughan F. R. von Neumann algebras in mathematics and physics. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 121--138, Math. Soc. Japan, Tokyo, 1991. 46Lxx (46-02 57M25 81R50 81T40)
[18] Jones, V. F. R. Baxterization. Differential geometric methods in theoretical physics (Davis, CA, 1988), 5--11, NATO Adv. Sci. Inst. Ser. B Phys., 245, Plenum, New York, 1990. 82B23 (20F36 57M25)
[19] Jones, Vaughan F. R. Subfactors and knots. CBMS Regional Conference Series in Mathematics, 80. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1991. x+113 pp. ISBN: 0-8218-0729-3 57M25 (46L37 82B23)
[20] Birman, Joan S. The work of Vaughan F. R. Jones. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 9--18, Math. Soc. Japan, Tokyo, 1991. 01A65 (01A70 46-02 57-02)
[21] Jones, V. F. R. Knots, braids and statistical mechanics. Advances in differential geometry and topology, 149--184, World Sci. Publishing, Teaneck, NJ, 1990. 57M25 (82B23)
[22] Goodman, Frederick M.; de la Harpe, Pierre; Jones, Vaughan F. R. Coxeter graphs and towers of algebras. Mathematical Sciences Research Institute Publications, 14. Springer-Verlag, New York, 1989. x+288 pp. ISBN: 0-387-96979-9 46L10 (17B99 46-02 46L37 46L60 58G99)
[23] Jones, V. F. R. Subfactors and related topics. Operator algebras and applications, Vol. 2, 103--118, London Math. Soc. Lecture Note Ser., 136, Cambridge Univ. Press, Cambridge, 1988. 46L35 (17B35 57M25 58F40 81E99 82A68)
[24] Jones, V. F. R. Subfactors of type ${\rm II}\sb 1$ factors and related topics. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 939--947, Amer. Math. Soc., Providence, RI, 1987. 46L35 (57M25)
[25] Jones, V. F. R. Braid groups, Hecke algebras and type ${\rm II}\sb 1$ factors. Geometric methods in operator algebras (Kyoto, 1983), 242--273, Pitman Res. Notes Math. Ser., 123, Longman Sci. Tech., Harlow, 1986. 46L10 (16A46 46L35)
[26] Herman, Richard H.; Jones, Vaughan F. R. Central sequences in crossed products. Operator algebras and mathematical physics (Iowa City, Iowa, 1985), 539--544, Contemp. Math., 62, Amer. Math. Soc., Providence, RI, 1987. 46L55 (46L35)
[27] Jones, V. F. R. Index for subrings of rings. Group actions on rings (Brunswick, Maine, 1984), 181--190, Contemp. Math., 43, Amer. Math. Soc., Providence, RI, 1985. 46M20 (16A99 46L35 58G12)
[28] Jones, V. F. R. Isomorphisms of automorphism groups of type ${\rm II}$ factors. Topics in modern operator theory (Timi\cedla soara/Herculane, 1980), pp. 211--219, Operator Theory: Adv. Appl., 2, Birkhäuser, Basel-Boston, Mass., 1981. 46L40
[29] Jones, V.; Popa, S. Some properties of MASAs in factors. Invariant subspaces and other topics (Timi\cedla soara/Herculane, 1981), pp. 89--102, Operator Theory: Adv. Appl., 6, Birkhäuser, Basel-Boston, Mass., 1982. 46L35 (46L40)
[30] Jones, V. F. R. Actions of discrete groups on factors. Operator algebras and applications, Part 2 (Kingston, Ont., 1980), pp. 167--177, Proc. Sympos. Pure Math., 38, Amer. Math. Soc., Providence, R.I., 1982. 46L40 (22D25)
[31] Jones, V. F. R. An invariant for group actions. Algèbres d'opérateurs (Sém., Les Plans-sur-Bex, 1978), pp. 237--253, Lecture Notes in Math., 725, Springer, Berlin, 1979. 46L10 (46M20)
[32] Knots in the Hellas '98. Vol. 3. Proceedings of the International Conference on Knot Theory and its Ramifications held in Delphi, August 7--15, 1998. Edited by C. McA. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou and J. H. Przytycki. J. Knot Theory Ramifications 10 (2001), no. 5. World Scientific Publishing Co., Singapore, 2001. pp. i--vi and 645--812. 57-06 (57M25)
[33] Jones, V. F. R. A credo of sorts. Truth in mathematics (Mussomeli, 1995), 203--214, Oxford Univ. Press, New York, 1998. 03A05 (57M25)
[34] Jones, V. F. R. Index for subfactors [MR 84d:46097]. Fields Medallists' lectures, 459--486, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 46L37 (01A65 46-03)
[35] Jones, Vaughan F. R. A polynomial invariant for knots via von Neumann algebras [MR 86e:57006]. Fields Medallists' lectures, 448--458, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 57M25 (01A65)
[36] Birman, Joan S. The work of Vaughan F. R. Jones [MR 93b:01035]. Fields Medallists' lectures, 435--445, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 01A70 (57-03)
[37] Jones, Vaughan F. R. Three lectures on knots and von Neumann algebras. Infinite-dimensional geometry, noncommutative geometry, operator algebras, fundamental interactions (Saint-François, 1993), 96--113, World Sci. Publishing, River Edge, NJ, 1995. 57M25 (46L10 46L37)
[38] Eudave Muñoz, Mario On von Neumann algebras: notes from a talk by V. F. R. Jones. (Spanish) XXIVth National Congress of the Mexican Mathematical Society (Spanish) (Oaxtepec, 1991), 107--118, Aportaciones Mat. Comun., 11, Soc. Mat. Mexicana, México, 1992. 46L10
[39] Eudave Muñoz, Mario Quantum invariants of links: notes from a talk by V. F. R. Jones. (Spanish) XXIVth National Congress of the Mexican Mathematical Society (Spanish) (Oaxtepec, 1991), 93--105, Aportaciones Mat. Comun., 11, Soc. Mat. Mexicana, México, 1992. 57M25
[40] Connes, Alain; Faltings, Gerd; Jones, Vaughan; Smale, Stephen; Thom, René; Wagensberg, Jorge Round-table discussion. Mathematical research today and tomorrow (Barcelona, 1991), 87--108, Lecture Notes in Math., 1525, Springer, Berlin, 1992. 00A05
[41] Jones, Vaughan F. R. Knots in mathematics and physics. Mathematical research today and tomorrow (Barcelona, 1991), 70--77, Lecture Notes in Math., 1525, Springer, Berlin, 1992. 57M25 (82B23)
[42] Jones, V. F. R. Knots, braids and statistical mechanics [MR 92d:57006]. Integrable systems and quantum groups (Pavia, 1990), 1--36, World Sci. Publishing, River Edge, NJ, 1992. 57M25 (82B23)
[43] Birman, Joan S. On the work of Vaughan F. R. Jones [MR 93b:01035]. Addresses on the works of Fields medalists and Rolf Nevanlinna Prize winner (Kyoto, 1990), ICM-90, Math. Soc. Japan, Tokyo, 1990. 01A65 (01A70 46-02 57-02)
[44] Jones, V. F. R. Notes on subfactors and statistical mechanics. Braid group, knot theory and statistical mechanics, 1--25, Adv. Ser. Math. Phys., 9, World Sci. Publishing, Teaneck, NJ, 1989. 46L35 (46L60 82B23)
연구논문
  • Bisch, Dietmar;Jones, Vaughan   Singly generated planar algebras of small dimension   Duke Math. J.   101   1   (2000)   41-75   46L37
  • Jones, Vaughan   Mathematics for a new millennium   Normat   48   4   (2000)   145-152   01A67
  • Bisch, Dietmar;Jones, Vaughan   Algebras associated to intermediate subfactors   Invent. Math.   128   1   (1997)   89-157   46L37
  • Jones, Vaughan;Moscovici, Henri   Review of Noncommutative geometry   Notices Amer. Math. Soc.   44   7   (1977)   792-799   46L87, 58B30
  • Jones, Vaughan   Fusion in von Neumann algebras and loop groups (after A. Wassermann)   Asterisque     237   (1996)   251-273   46L10, 22E67, 22E70, 46L60, 81R10, 81T08, 81T40
  • Bacher, Roland;de la Harpe, Pierre;Jones, Vaughan   Commuting squares and invariants of combinatorial structures   C. R. Acad. Sci. Paris S?r. I Math.   320   9   (1995)   1049-1054   16E50, 05B20, 05C25
  • Bogle, M. G. V.;Hearst, J. E.;Jones, V. F. R.;Stoilov, L.   Lissajous knots   J. Knot Theory Ramifications   3   2   (1994)   121-140   57M25
  • Jones, V. F. R.   A quotient of the affine Hecke algebra in the Brauer algebra   Enseign. Math. (2)   40   3-4   (1994)   313-344   20G05, 16P10, 46L37
  • Jones, V. F. R.   On a family of almost commuting endomorphisms   J. Funct. Anal.   122   1   (1994)   84-90   46L37, 46L40, 46L60, 82B23
  • de la Harpe, P.;Jones, V. F. R.   Graph invariants related to statistical mechanical models: examples and problems   J. Combin. Theory Ser. B   57   2   (1993)   207-227   05C15, 05C90, 57M25, 82B23
  • Rosso, Marc;Jones, Vaughan   On the invariants of torus knots derived from quantum groups   J. Knot Theory Ramifications   2   1   (1993)   97-112   57M25, 17B37
  • Jones, Vaughan   Knots, braids, statistical mechanics and von Neumann algebras   New Zealand J. Math.   21     (1992)   1-16   57M25, 17B37, 20F36, 46L37, 81T99, 82B23
  • Jones, V. F. R.   Commuting transfer matrices and link polynomials   Internat. J. Math.   3   2   (1992)   205-212   57M25, 82B23
  • de la Harpe, Pierre;Jones, Vaughan   Pairs of semisimple subalgebras and strongly regular graphs   C. R. Acad. Sci. Paris S?r. I Math.   311   3   (1990)   147-150   16D60, 05E30, 16S50
  • Jones, V. F. R.   Baxterization. Proceedings of the Conference on Yang-Baxter Equations, Conformal Invariance and Integrability in Statistical Mechanics and Field Theory   Internat. . Modern Phys. B   4   5   (1990)   701-713   82B23, 16S34, 17B37, 57M25, 82-02
  • Jones, Vaughan F. R.   Knot theory and statistical mechanics   Sci. Amer.   263   5   (1990)   98-103   57M25, 82-01
  • Jones, V. F. R.   Notes on subfactors and statistical mechanics   Internat. J. Modern Phys. A   5   3   (1990)   441-460   46L37, 46L60, 82B10
  • Jones, V. F. R.   On a certain value of the Kauffman polynomial   Comm. Math. Phys.   125   3   (1989)   459-467   57M25, 46L85, 82B23
  • Goldschmidt, David M.;Jones, V. F. R.   Metaplectic link invariants   Geom. Dedicata   31   2   (1989)   165-191   57M25, 20F36
  • Jones, V. F. R.   On knot invariants related to some statistical mechanical models   Pacific J. Math.   137   2   (1989)   311-334   57M25, 82A69
  • Jones, V. F. R.   Hecke algebra representations of braid groups and link polynomials   Ann. of Math. (2)   126   2   (1987)   335-388   46L99, 20F36, 22D25, 46L35, 46L55, 57M25
  • Jones, Vaughan F. R.;Schmidt, Klaus   Asymptotically invariant sequences and approximate finiteness   Amer. J. Math.   109   1   (1987)   91-114   28D99, 46L55
  • Jones, V. F. R.;Takesaki, M.   Actions of compact abelian groups on semifinite injective factors   Acta Math.   153   3-4   (1984)   213-258   46L35. 46L10
  • Goodman, Fred;de la Harpe, Pierre;Jones, Vaughan   Classification of nonnegative integral matrices with small norms   C. R. Acad. Sci. Paris S?r. I Math.   300   14   (1985)   463-465   15A60, 16A40, 17B65
  • Jones, V. F. R.   A new knot polynomial and von Neumann algebras   Notices Amer. Math. Soc.   33   2   (1986)   219-225   57M25, 46L10
  • Habegger, Nathan;Jones, Vaughan;Pino Ortiz, Oscar;Ratcliffe, John   Relative cohomology of groups   Comment. Math. Helv.   59   1   (1984)   149-164   20J05
  • Jones, Vaughan F. R.   A polynomial invariant for knots via von Neumann algebras   Bull. Amer. Math. Soc. (N.S.)   12   1   (1985)   103-111   57M25, 46L10
  • Connes, A.;Jones, V.   Property $T$ for von Neumann algebras   Bull. London Math. Soc.   17   1   (1985)   57-62   46L35, 22D25
  • Jones, Vaughan   Braid groups, Hecke algebras and type ${rm II}sb{1}$ factors   C. R. Acad. Sci. Paris S?r. I Math.   298   20   (1984)   505-508   20F36, 11F06, 20C30, 46L35
  • Herman, Richard H.;Jones, Vaughan F. R.   Models of finite group actions   Math. Scand.   52   2   (1983)   312-320   46L55
  • Jones, V. F. R.   A converse to Ocneanu's theorem   J. Operator Theory   10   1   (1983)   61-63   46L55
  • Jones, Vaughan F. R.   Index of a subfactor of a type ${rm II}$ factor   C. R. Acad. Sci. Paris S?r. I Math.   294   12   (1982)   391-394   46L35
  • Herman, Richard H.;Jones, Vaughan F. R.   Period two automorphisms of ${rm UHF}$ $Csp{*} $-algebras   J. Funct. Anal.   45   2   (1982)   169-176   46L40
  • Jones, V. F. R.   Prime actions of compact abelian groups on the hyperfinite type ${rm II}sb{1}$ factor   J. Operator Theory   9   1   (1983)   181-186   46L35, 46L40
  • Jones, V. F. R.   Index for subfactors   Invent. Math.   72   1   (1983)   1-25   46L35, 10D07
  • Jones, V. F. R.   Central sequences in crossed products of full factors   Duke Math. J.   49   1   (1982)   29-33   46L40
  • Connes, A.;Jones, V.   A ${rm II}sb{1}$ factor with two nonconjugate Cartan subalgebras   Bull. Amer. Math. Soc. (N.S.)   6   2   (1982)   211-212   46L35, 46L55
  • Giordano, Thierry;Jones, Vaughan   ntiautomorphismes involutifs du facteur hyperfini de type ${rm II}sb{1}$   C. R. Acad. Sci. Paris S?r. A-B   290   1   (1980)   A29-A31   46L10
  • Jones, V. F. R.   A ${rm II}sb{1}$ factor anti-isomorphic to itself but without involutory antiautomorphisms   Math. Scand.   46   1   (1980)   103-117   46L35
  • Jones, Vaughan F. R.   Actions of finite groups on the hyperfinite type ${rm II}sb{1}$ factor   Mem. Amer. Math. Soc.   28   237   (1980)   1-70   46L55, 20C99, 46L40
  • Jones, Vaughan   Sur la conjugaison de sous-facteurs de facteurs de type II1   C. R. Acad. Sci. Paris S?r. A-B   284   11   (1977)   A597-A597   46L10
  • Jones, V. F. R.   Quantum mechanics over fields of non-zero characteristic   Lett. Math. Phys.   1   2   (1975-1976)   99-103   81.00
  • Connes, Alain;Flato, Mosh?;Hironaka, Heisuke;Jaffe, Arthur;Jones, Vaughan   Editorial (dedication of this issue to Huzihiro Araki)   Comm. Math. Phys.   155   1   (1993)   1-2   01A70
  • Jones, V. F. R.   Baxterization   Internat. J. Modern Phys. A   6   12   (1991)   2035-2043   57M25, 82-02, 82B23
  •   Eulogy of Vaughan Jones   New Zealand Math. Soc. Newslett.     55   (1992)   9-10   01A70