William P. Thurston의 정보
수상나이 35
출생년도 1946
사망년도
출생지 Washington, D.C.
현재소속 Princeton University
연구실적 [자세히 보기]
관련출판물 1.H Araki, Profiles of 1982 Fields Medal winners (Japanese), Sugaku 35 (1) (1983), 70-77.

2.W Browder and W-c Hsiang, The work of William P Thurston, Notices Amer. Math. Soc. 29 (1982), 501.

3.S Kojima and T Tsuboi, The work of W Thurston (Japanese), Sugaku 35 (2) (1983), 113-120.

4.B Lawson, Thurston's work on foliations, Notices Amer. Math. Soc. 26 (1979), 294-295.

5.D Sullivan, The new geometry of Thurston, Notices Amer. Math. Soc. 26 (1979), 295-296.

6.W Thurston and J-P Bourguignon, Interview de William Thurston, Gaz. Math. No. 65 (1995), 11-18.

7.C T C Wall, On the work of W Thurston, Proceedings of the International Congress of Mathematicians, Warsaw 1983 1 (Warsaw, 1984), 11-14.

8.Waterman award for William P Thurston, Notices Amer. Math. Soc. 26 (1979), 293.

시상내역 Revolutionized study of topology in 2 and 3 dimensions, showing interplay between analysis, topology, and geometry. The central new idea is that a very large class of closed 3-manifolds should carry a hyperbolic structure - be the quotient of hyperbolic space by a discrete group of isometries, or equivalently, carry a metric of constant negative curvature. Although this is a natural analogue of the situation for 2-manifolds, where such a result is given by Riemann's uniformisation theorem, it is much less plausible - even counter-intuitive - in the 3-dimensional situation.
Other Award Oswald Veblen Geometry Prize(1976), Alan T Waterman Award(1979)
연구단행본 [1] Thurston, William P. The Eightfold Way: a mathematical sculpture by Helaman Ferguson. The eightfold way, 1--7, Math. Sci. Res. Inst. Publ., 35, Cambridge Univ. Press, Cambridge, 1999. 00A69
[2] Thurston, William P. Shapes of polyhedra and triangulations of the sphere. The Epstein birthday schrift, 511--549 (electronic), Geom. Topol. Monogr., 1, Geom. Topol., Coventry, 1998. 57M50 (20F67 22E40 53C21)
[3] Eliashberg, Yakov M.; Thurston, William P. Confoliations. University Lecture Series, 13. American Mathematical Society, Providence, RI, 1998. x+66 pp. ISBN: 0-8218-0776-5 53C15 (57N10 57R30 58F05)
[4] Thurston, William P. Three-dimensional geometry and topology. Vol. 1. Edited by Silvio Levy. Princeton Mathematical Series, 35. Princeton University Press, Princeton, NJ, 1997. x+311 pp. ISBN: 0-691-08304-5 57M50 (53A35 57M25 57M60 57N10)
[5] Levy, Silvio Making waves. A guide to the ideas behind Outside in. With an article by Bill Thurston [William P. Thurston] and an afterword by Albert Marden. A K Peters, Ltd., Wellesley, MA, 1995. 49 pp. ISBN: 1-56881-049-0 00A69 (57-01 58-01)
[6] Miller, Gary L.; Teng, Shang-Hua; Thurston, William; Vavasis, Stephen A. Automatic mesh partitioning. Graph theory and sparse matrix computation, 57--84, IMA Vol. Math. Appl., 56, Springer, New York, 1993. 68R10 (65Y10 68M10 68Q22)
[7] Epstein, David B. A.; Cannon, James W.; Holt, Derek F.; Levy, Silvio V. F.; Paterson, Michael S.; Thurston, William P. Word processing in groups. Jones and Bartlett Publishers, Boston, MA, 1992. xii+330 pp. ISBN: 0-86720-244-0 20F10 (03D40 20-02 68Q70)
[8] Milnor, John; Thurston, William On iterated maps of the interval. Dynamical systems (College Park, MD, 1986--87), 465--563, Lecture Notes in Math., 1342, Springer, Berlin, 1988. 58F08 (26A18 58F20)
[9] Canary, R. D.; Epstein, D. B. A.; Green, P. Notes on notes of Thurston. Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984), 3--92, London Math. Soc. Lecture Note Ser., 111, Cambridge Univ. Press, Cambridge, 1987. 57N10 (32G15 32G99 54A20 57M99 58F17)
[10] Thurston, William P. Earthquakes in two-dimensional hyperbolic geometry. Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984), 91--112, London Math. Soc. Lecture Note Ser., 112, Cambridge Univ. Press, Cambridge, 1986. 57M99 (22E40 30F20)
[11] Thurston, William P. Zippers and univalent functions. The Bieberbach conjecture (West Lafayette, Ind., 1985), 185--197, Math. Surveys Monogr., 21, Amer. Math. Soc., Providence, RI, 1986. 30C55 (32H15)
[12] Wall, C. T. C. On the work of W. Thurston. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), 11--14, PWN, Warsaw, 1984. 01A60 (57-03)
[13] Gromov, Michael Hyperbolic manifolds (according to Thurston and Jørgensen). Bourbaki Seminar, Vol. 1979/80, pp. 40--53, Lecture Notes in Math., 842, Springer, Berlin-New York, 1981. 53C30 (57R20 58F15)
[14] Thurston, W. Hyperbolic geometry and $3$-manifolds. Low-dimensional topology (Bangor, 1979), pp. 9--25, London Math. Soc. Lecture Note Ser., 48, Cambridge Univ. Press, Cambridge-New York, 1982. 57N10 (30F40 53A40)
[15] Thurston, William On the construction and classification of foliations. Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), Vol. 1, pp. 547--549. Canad. Math. Congress, Montreal, Que., 1975. 57D30
[16] Thurston, William P. A local construction of foliations for three-manifolds. Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 1, pp. 315--319. Amer. Math. Soc., Providence, R.I., 1975. 57D30
[17] Thurston, William P. The theory of foliations of codimension greater than one. Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 1, pp. 321. Amer. Math. Soc., Providence, R.I., 1975. 57D30
[18] Rosenberg, H.; Thurston, W. Some remarks on foliations. Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971), pp. 463--478. Academic Press, New York, 1973. 57D30 (58F99)
[19] Wall, C. T. C. The work of W. Thurston [MR 86j:01035]. Fields Medallists' lectures, 373--375, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 01A70 (57-03)
[20] Sergeraert, Francis $B\Gamma $ [d'après John N. Mather et William Thurston]. (French) Séminaire Bourbaki, 30e année (1977/78), Exp. No. 524, pp. 300--315, Lecture Notes in Math., 710, Springer, Berlin, 1979. 57R55 (57R99)
연구논문
  • Conway, John H.;Delgado Friedrichs, Olaf;Huson, Daniel H.;Thurston, William P.   On three-dimensional space groups   Beitr?ge Algebra Geom.   42   2   (2001)   475-507  
  • Thurston, William P.   How to see $3$-manifolds   Classical Quantum Gravity   15   9   (1998)   2545-2571   57M50, 57N10
  • Miller, Gary L.;Teng, Shang-Hua;Thurston, William;Vavasis, Stephen A.   Geometric separators for finite-element meshes   SIAM J. Sci. Comput.   19   2   (1998)   364-386   65Y25, 65M60, 65N30
  • Miller, Gary L.;Teng, Shang-Hua;Thurston, William;Vavasis, Stephen A.   Separators for sphere-packings and nearest neighbor graphs   J. ACM   44   1   (1997)   1-29   52C17, 05C10, 52B55, 68U05
  • Eliashberg, Yakov M.;Thurston, William P.   Contact structures and foliations on $3$-manifolds   Turkish J. Math.   20   1   (1996)   19-35   53C15, 57R30, 58F05
  • Thurston, William P.   On proof and progress in mathematics   Bull. Amer. Math. Soc. (N.S.)   30   2   (1994)   161-177   00A30
  • Sleator, Daniel D.;Tarjan, Robert E.;Thurston, William P.   Short encodings of evolving structures   SIAM J. Discrete Math.   5   3   (1992)   428-450   68Q50, 03D05, 68Q25, 68R10
  • Epstein, D. B. A.;Thurston, W. P.   Combable groups. Conference on Differential Geometry and Topology   Rend. Sem. Fac. Sci. Univ. Cagliari   58   Suppl.   (1988)   426-439   20F10, 20F32, 20J05, 57M05, 57M07
  • Thurston, William P.   Conway's tiling groups   Amer. Math. Monthly   97   8   (1990)   757-773   52C20, 05B45, 20F32, 52C22
  • Kerckhoff, Steven P.;Thurston, William P.   Noncontinuity of the action of the modular group at Bers' boundary of Teichm?ller space   Invent. Math.   100   1   (1990)   25-47   57S30, 22E40, 32G15
  • Gromov, M.;Lawson, H. B., Jr.;Thurston, W.   Hyperbolic $4$-manifolds and conformally flat $3$-manifolds   Inst. Hautes ?tudes Sci. Publ. Math.     68   (1988)   27-45   57N13, 43C10, 57N10
  • Cannon, J. W.;Floyd, W. J.;Grayson, M. A.;Thurston, W. P.   Solvgroups are not almost convex   Geom. Dedicata   31   3   (1989)   291-300   57M99, 20H15, 22E25, 22E40
  • Sleator, Daniel D.;Tarjan, Robert E.;Thurston, William P.   Rotation distance, triangulations, and hyperbolic geometry   J. Amer. Math. Soc.   1   3   (1988)   647-681   68P05, 05C05, 05C35, 51M10, 68R10
  • Thurston, William P.   On the geometry and dynamics of diffeomorphisms of surfaces   Bull. Amer. Math. Soc. (N.S.)   19   2   (1988)   417-431   57M99
  • Cooper, D.;Thurston, W. P.   Triangulating $3$-manifolds using $5$ vertex link types   Topology   27   1   (1988)   23-25   57Q15
  • Sullivan, Dennis P.;Thurston, William P.   Extending holomorphic motions   Acta Math.   157   3-4   (1986)   243-257   30C60, 58F08, 58F11
  • Thurston, William P.   A norm for the homology of $3$-manifolds   Mem. Amer. Math. Soc.   59   339   (1986)   99-130   57N10, 57M25, 57R20, 57R30
  • Thurston, William P.   Hyperbolic structures on $3$-manifolds. I. Deformation of acylindrical manifolds   Ann. of Math. (2)   124   2   (1986)   203-246   57N10
  • Gromov, M.;Thurston, W.   Pinching constants for hyperbolic manifolds   Invent. Math.   89   1   (1987)   1-12   53C20
  • Thurston, W.;Vaserstein, L.   On $Ksb 1$-theory of the Euclidean space   Topology Appl.   23   2   (1986)   145-148   18F25, 19B14, 57N12
  • Park, James K.;Steiglitz, Kenneth;Thurston, William P.   Soliton-like behavior in automata   Phys. D   19   3   (1986)   423-432   68Q80, 58F13
  • Handel, Michael;Thurston, William P.   New proofs of some results of Nielsen   Adv. In Math.   56   2   (1985)   173-191   57M99, 57R50
  • Hatcher, A.;Thurston, W.   Incompressible surfaces in $2$-bridge knot complements   Invent. Math.   79   2   (1985)   225-246   57M25
  • Sullivan, Dennis;Thurston, William   Manifolds with canonical coordinate charts: some examples   Enseign. Math. (2)   29   1-2   (1983)   15-25   53C10, 57R15, 57R99, 58A05
  • Thurston, William P.   Three-dimensional manifolds, Kleinian groups and hyperbolic geometry   Bull. Amer. Math. Soc. (N.S.)   6   3   (1982)   357-381   57N10, 20H15, 30F40, 57M35, 57M40, 57S17
  • Hatcher, A.;Thurston, W.   A presentation for the mapping class group of a closed orientable surface   Topology   19   3   (1980)   221-237   57N05
  • Handel, Michael; Thurston, William P.   Anosov flows on new three manifolds   Invent. Math.   59   2   (1980)   95-103   58F15
  • Epstein, D. B. A.;Thurston, W. P.   Transformation groups and natural bundles   Proc. London Math. Soc. (3)   38   2   (1979)   219-236   58A20, 55R65
  • Milnor, J.;Thurston, W.   Characteristic numbers of $3$-manifolds   Enseign. Math. (2)   23   3-4   (1977)   249-254   57A10, 57D20
  • Almgren, Frederick J., Jr.;Thurston, William P.   Examples of unknotted curves which bound only surfaces of high genus within their convex hulls   Ann. of Math. (2)   105   3   (1977)   527-538   53A10, 49F22, 57D80
  • Plante, J. F.;Thurston, W. P.   Polynomial growth in holonomy groups of foliations   Comment. Math. Helv.   51   4   (1976)   567-584   57D30, 58D05
  • Thurston, W. P.   Existence of codimension-one foliations   Ann. of Math. (2)   104   2   (1976)   249-268   57D30
  • Kan, D. M.;Thurston, W. P.   Every connected space has the homology of a $K(pi ,1)$   Topology   15   3   (1976)   253-258   55D20
  • Thurston, W. P.   Some simple examples of symplectic manifolds   Proc. Amer. Math. Soc.   55   2   (1976)   467-468   57D15
  • Thurston, W. P.;Winkelnkemper, H. E.   On the existence of contact forms   Proc. Amer. Math. Soc.   52     (1975)   345-347   58A10, 57D30
  • Thurston, William   The theory of foliations of codimension greater than one   Comment. Math. Helv.   49     (1974)   214-231   57D30
  • Hirsch, Morris W.;Thurston, William P.   Foliated bundles, invariant measures and flat manifolds   Ann. of Math. (2)   101     (1975)   369-390   57D30
  • Thurston, William P.   A generalization of the Reeb stability theorem   Topology   13     (1974)   347-352   57D30, 57A35
  • Thurston, William   Foliations and groups of diffeomorphisms   Bull. Amer. Math. Soc.   80     (1974)   304-307   58D05, 57D30
  • Thurston, William   Noncobordant foliations of $Ssp{3}$   Bull. Amer. Math. Soc.   78     (1972)   511-514   57D30
  • Plante, J. F.;Thurston, W. P.   Anosov flows and the fundamental group   Topology   11     (1972)   147-150   58F10
  • Thurston, William P.   On proof and progress in mathematics   Pokroky Mat. Fyz. Astronom.   41   2   (1996)   57-73   00A30, 00A35, 01A60
  • Thurston, William;Bourguignon, Jean-Pierre   Interview de William Thurston   Gaz. Math.     65   (1995)   11-18   01A99