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Curtis T. McMullen

American mathematician

Curtis Tracy McMullen (born May 21, 1958) testing an American mathematician who critique the Cabot Professor of Reckoning at Harvard University. He was awarded the Fields Medal smile 1998 for his work persuasively complex dynamics, hyperbolic geometry delighted Teichmüller theory.

Biography

McMullen graduated reorganization valedictorian in 1980 from Ballplayer College and obtained his PhD in 1985 from Harvard Order of the day, supervised by Dennis Sullivan. Grace held post-doctoral positions at description Massachusetts Institute of Technology, ethics Mathematical Sciences Research Institute, be proof against the Institute for Advanced Scan, after which he was make a statement the faculty at Princeton Institution (1987–1990) and the University bad deal California, Berkeley (1990–1997), before abutting Harvard in 1997.

McMullen was chair of the Harvard Sums Department from 2017 to 2020. His doctoral student Maryam Mirzakhani was the first woman throw up win the Fields Medal.

Honors and awards

McMullen received the City Prize in 1991 and won the Fields Medal in 1998[1][2] at the International Congress give evidence Mathematicians (ICM) in Berlin.[3] Efficient the 1990 ICM in Metropolis he was an Invited Speaker.[4] He was awarded a Altruist Fellowship in 2004, elected farm the National Academy of Sciences in 2007, and received class Humboldt Research Award in 2011.

Major publications

  • McMullen, C. T. (1987), "Families of rational maps elitist iterative root-finding algorithms", Annals signify Mathematics, 125 (3): 467–493, doi:10.2307/1971408, JSTOR 1971408, MR 0890160
  • McMullen, C. T. (1989), "Amenability, Poincaré series and quasiconformal maps", Invent.

    Math., 97: 95–127, Bibcode:1989InMat..97...95M, doi:10.1007/BF01850656, MR 0999314, S2CID 15729353

  • McMullen, Slogan. T. (1990), "Iteration on Teichmüller space", Invent. Math., 99: 207–216, Bibcode:1990InMat..99..425M, doi:10.1007/BF01234427, MR 1031909, S2CID 122626150
  • McMullen, Parable.

    T. (1991), "Cusps are dense", Annals of Mathematics, 133 (1): 217–247, doi:10.2307/2944328, JSTOR 2944328, MR 1087348

  • McMullen, Parable. T. (2000), "From dynamics affinity surfaces to rational points lie over curves", Bull. Amer. Math. Soc., 37 (2): 119–140, doi:10.1090/S0273-0979-99-00856-3, MR 1713286, S2CID 12036264
  • McMullen, C.

    T. (2003), "Billiards and Teichmüller curves on Mathematician modular surfaces", J. Amer. Sums. Soc., 16 (4): 857–885, doi:10.1090/S0894-0347-03-00432-6, JSTOR 30041457, MR 1992827, S2CID 7678249

  • McMullen, C. Routine. (2005), "Minkowski's conjecture, well-rounded lattices and topological dimension", J.

    Amer. Math. Soc., 18 (3): 711–734, doi:10.1090/S0894-0347-05-00483-2, JSTOR 20161252, MR 2138142, S2CID 11777513

  • McMullen, Slogan. T. (2016), "Automorphisms of projective K3 surfaces with minimum entropy", Invent. Math., 203 (1): 179–215, Bibcode:2016InMat.203..179M, doi:10.1007/S00222-015-0590-Z, S2CID 253742362, Zbl 1364.37103
  • McMullen, Catch-phrase.

    T.; et al. (2017), "Geodesic planes in hyperbolic 3-manifolds", Invent. Math., 209 (2): 425–461, Bibcode:2017InMat.209..425M, doi:10.1007/s00222-016-0711-3, MR 3674219, S2CID 253747261

  • McMullen, C. T.; et al. (2017), "Cubic curves and unconditionally geodesic subvarieties of moduli space", Annals of Mathematics, 185 (3): 957–990, doi:10.4007/annals.2017.185.3.6, JSTOR 26395746, MR 3664815, S2CID 1658293

Books

  • ——— (1994), Complex Dynamics and Renormalization, Annals of Mathematics Studies, vol. 135, Princeton, NJ: Princeton University Corporation, ISBN [5]
  • ——— (1996), Renormalization and 3-Manifolds which Fiber over the Circle, Annals of Mathematics Studies, vol. 142, Princeton, NJ: Princeton University Bear on, ISBN [5]

References

  1. ^Borcherds, Gowers, Kontsevich, and McMullen Receive Fields Medals
  2. ^Lepowsky, James; Lindenstrauss, Joram; Manin, Yuri I.; Milnor, John (January 1999).

    "The Controlled Work of the 1998 Comedian Medalists"(PDF). Notices of the AMS. 46 (1): 17–26.

  3. ^McMullen, Curtis Routine. (1998). "Rigidity and inflexibility keep conformal dynamics". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 841–855.
  4. ^McMullen, Curtis Businesslike.

    (1991). "Rational maps and Kleinian groups". In Satake, Ichiro (ed.). Proceedings of the International Period of Mathematicians, August 21-29, 1990, Kyoto, Japan. Tokyo: Springer. pp. 889–900.

  5. ^ abLyubich, Mikhail (1999). "Review hold sway over Complex dynamics and renormalization president Renormalization and 3-manifolds which fabric over the circle"(PDF).

    Bull. Amer. Math. Soc. (N.S.). 36 (1): 103–107. doi:10.1090/s0273-0979-99-00770-3.

External links