Curtis T. McMullen의 정보

수상나이 40
출생년도 1958
사망년도
출생지 Berkeley(USA)
현재소속 Harvard University
관련출판물 1.James Lepowsky, Joram Lindenstrauss, Yuri I. Manin, John Milnor, The mathematical work of the 1998 Fields medalists. Notices Amer. Math. Soc. 46 (1999), no. 1, 17--26

2.Steve. Smale, The work of Curtis T. McMullen. Proceedings of the International Congress of Mathematicians, Vol. I (Berlin, 1998). Doc. Math. 1998, Extra Vol. I, 127--132 (electronic)

3.Adolfo Quir?s, The Fields Medals [of 1998]. (Spanish) Gac. R. Soc. Mat. Esp. 1 (1998), no. 3, 439--446

4.C. S. Rajan, Bhatia Rajendra, T. R. Ramadas, Nimish A. Shah, The work of the Fields medalists:1998. Current Sci. 75 (1998), no. 12, 1290--1295

5.Steve. Smale, The work of [Fields medalist] Curtis T. McMullen. Mitt. Dtsch. Math.-Ver. 1998, no.3, 48--516.Allyn. Jackson, Borcherds, Gowers, Kontsevich, and McMullen receive Fields Medals. Notices Amer. Math. Soc.45 (1998), no. 10, 1358--1360.

시상내역 Curtis T. McMullen has been awarded a medal primarily in recognition of his work in the fields of geometry and "complex dynamics," a branch of the theory of dynamic systems, better known perhaps as chaos theory.
Other Award
연구실적 [자세히 보기]
연구단행본 [1] McMullen, Curtis T. The Mandelbrot set is universal. The Mandelbrot set, theme and variations, 1--17, London Math. Soc. Lecture Note Ser., 274, Cambridge Univ. Press, Cambridge, 2000. 37F45 (30D05 37F10)
[2] McMullen, Curtis T. The classification of conformal dynamical systems. Current developments in mathematics, 1995 (Cambridge, MA), 323--360, Internat. Press, Cambridge, MA, 1994. 58F23 (30D05 30F40)
[3] McMullen, Curtis T. Renormalization and 3-manifolds which fiber over the circle. Annals of Mathematics Studies, 142. Princeton University Press, Princeton, NJ, 1996. x+253 pp. ISBN: 0-691-01154-0; 0-691-01153-2 57N10 (26A18 30F40 58F99)
[4] McMullen, Curtis T. Complex dynamics and renormalization. Annals of Mathematics Studies, 135. Princeton University Press, Princeton, NJ, 1994. x+214 pp. ISBN: 0-691-02982-2; 0-691-02981-4 58F23 (30D05)
[5] McMullen, Curt Rational maps and Kleinian groups. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 889--899, Math. Soc. Japan, Tokyo, 1991. 57M50 (30F40 58F23)
[6] McMullen, Curt Automorphisms of rational maps. Holomorphic functions and moduli, Vol. I (Berkeley, CA, 1986), 31--60, Math. Sci. Res. Inst. Publ., 10, Springer, New York, 1988. 58F99 (30D05 32G15)
[7] Earle, Clifford J.; McMullen, Curt Quasiconformal isotopies. Holomorphic functions and moduli, Vol. I (Berkeley, CA, 1986), 143--154, Math. Sci. Res. Inst. Publ., 10, Springer, New York, 1988. 30C60 (30F25 32G15)
연구논문
  • McMullen, Curtis T.   Local connectivity, Kleinian groups and geodesics on the blowup of the torus   Invent. Math.   146   1   (2001)   35-91   37F30, 37C85, 57M50
  • McMullen, Curtis T.   Polynomial invariants for fibered 3-manifolds and Teichm?ller geodesics for foliations   Ann. Sci. ?cole Norm. Sup. (4)   33   4   (2000)   519-560   57M50, 30F60, 32G15, 37C85, 37D40, 57N10, 57R30
  • McMullen, Curtis T.   Hausdorff dimension and conformal dynamics. II. Geometrically finite rational maps   Comment. Math. Helv.   75   4   (2000)   535-593   30F35, 30D05, 30F40, 37F30
  • McMullen, Curtis T.   The moduli space of Riemann surfaces is K?hler hyperbolic   Ann. of Math. (2)   151   1   (2000)   327-357   32G15, 30F60, 32Q15, 32Q45
  • McMullen, Curtis T.   Hausdorff dimension and conformal dynamics. I. Strong convergence of Kleinian groups   J. Differential Geom.   51   3   (1999)   471-515   37F30, 30F40, 57S30
  • McMullen, Curtis T.;Taubes, Clifford H.   4-manifolds with inequivalent symplectic forms and 3-manifolds with inequivalent fibrations   Math. Res. Lett.   6   5-6   (1999)   681-696   57R57, 53D35, 57N10, 57R17
  • McMullen, Curtis T.   From dynamics on surfaces to rational points on curves   Bull. Amer. Math. Soc. (N.S.)   37   2   (2000)   119-140   11G30, 32G15, 37E30, 57M60
  • McMullen, Curtis T.   Hausdorff dimension and conformal dynamics. III. Computation of dimension   Amer. J. Math.   120   4   (1998)   691-721   37F35, 30C10, 30F35, 30F40
  • Freedman, Michael H.;McMullen, Curtis T.   Elder siblings and the taming of hyperbolic $3$-manifolds   Ann. Acad. Sci. Fenn. Math.   23   2   (1998)   415-428   57M60, 30F40, 57M50
  • McMullen, Curtis T.   Rigidity and inflexibility in conformal dynamics   Doc. Math.   Extra Vol. II     (1998)   841-855   58F23, 30D05, 30F40, 57M50, 58F11
  • McMullen, Curtis T.   Self-similarity of Siegel disks and Hausdorff dimension of Julia sets   Acta Math.   180   2   (1998)   247-292   58F32, 28A78, 28A80, 30D05
  • McMullen, Curtis T.;Sullivan, Dennis P.   Quasiconformal homeomorphisms and dynamics. III. The Teichm?ller space of a holomorphic dynamical system   Adv. Math.   135   2   (1998)   351-395   58F23, 30C62, 30D05, 30F60
  • McMullen, C. T.   Lipschitz maps and nets in Euclidean space   Geom. Funct. Anal.   8   2   (1998)   304-314   58C07, 26B35
  • McMullen, Curtis T.   Kleinian groups and John domains   Topology   37   3   (1998)   485-496   20H10, 30F40, 57M60, 57S30
  • McMullen, Curtis T.   Complex earthquakes and Teichm?ller theory   j. Amer. Math. Soc.   11   2   (1998)   283-320   32G15, 20H10, 30F60, 57N05
  • Eskin, Alex;McMullen, Curt   Mixing, counting, and equidistribution in Lie groups   Duke Math. J.   71   1   (1993)   181-209   22E40, 57S30, 58F17
  • McMullen, Curtis T.   Frontiers in complex dynamics   Riemann surfaces and the geometrization of $3$-manifolds   31   2   (1994)   155-172   58F23, 30D05
  • McMullen, Curt   Amenable coverings of complex manifolds and holomorphic probability measures   Invent. Math.   110   1   (1992)   29-37   32C10, 30F99, 32L05
  • McMullen, Curt   Riemann surfaces and the geometrization of $3$-manifolds   Riemann surfaces and the geometrization of $3$-manifolds   27   2   (1992)   207-216   57M50, 30C75, 30F60
  • Brooks, Robert;Eliashberg, Yakov;McMullen, C.   The spectral geometry of flat disks   Duke Math. J.   61   1   (1990)   119-131   58G25
  • Epstein, Charles;Jørgensen, Troels;McMullen, Curt   Multiple intersections on negatively curved surfaces   J. Differential Geom.   33   1   (1991)   253-261   53C22, 53C21
  • McMullen, Curt   Cusps are dense   Ann. of Math. (2)   133   1   (1991)   217-247   30F60, 30F35, 30F40, 32G15, 57S30
  • Doyle, Peter;McMullen, Curt   Solving the quintic by iteration   Acta Math.   163   3-4   (1989)   151-180   12E12, 20D06, 20F19
  • McMullen, C.   Iteration on Teichm?ller space   Invent. Math.   99   2   (1990)   425-454   57N10, 30F40, 32G15, 57M10, 57N05
  • McMullen, Curt   Amenability, Poincar? series and quasiconformal maps   Invent. Math.   97   1   (1989)   95-127   30F35, 11F11, 30C60, 30C70, 32G15
  • McMullen, Curt   Braiding of the attractor and the failure of iterative algorithms   Invent. Math.   91   2   (1988)   259-272   58F12, 30D05
  • McMullen, Curt   Families of rational maps and iterative root-finding algorithms   Ann. of Math. (2)   125   3   (1987)   467-493   58F08, 58C15, 65H05
  • McMullen, Curt   Area and Hausdorff dimension of Julia sets of entire functions   Trans. Amer. Math. Soc.   300   1   (1987)   329-342   30D05, 58F08, 58F20
  • McMullen, Curt   The Hausdorff dimension of general Sierpi'nski carpets   Nagoya Math. J.   96     (1984)   1-9   11K55