Curtis T. McMullen

Curtis T. McMullen
Curtis T. McMullen
Born	Curtis Tracy McMullen; May 21, 1958; Berkeley, California
Nationality	American
Alma mater	Harvard University; Williams College
Known for	Complex dynamics, hyperbolic geometry, Teichmüller theory
Awards	Sloan Fellowship (1988) ; Salem Prize (1991); Fields Medal (1998); Guggenheim Fellowship (2004) ; Humboldt Prize (2011)
	Scientific career
Fields	Mathematics
Institutions	Harvard; MIT; Mathematical Sciences Research Institute; Institute for Advanced Study; Princeton; Berkeley
Thesis	Families of Rational Maps and Iterative Root-Finding Algorithms (1985)
Doctoral advisor	Dennis Sullivan
Doctoral students	Jeffrey Brock ; Laura DeMarco; Jeremy Kahn ; Maryam Mirzakhani
Website	math.harvard.edu/~ctm/

Curtis Tracy McMullen (born May 21, 1958) is an American mathematician who is the Cabot Professor of Mathematics at Harvard University. He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmüller theory.

Biography

McMullen graduated as valedictorian in 1980 from Williams College and obtained his Ph.D. in 1985 from Harvard University, supervised by Dennis Sullivan. He held post-doctoral positions at the Massachusetts Institute of Technology, the Mathematical Sciences Research Institute, and the Institute for Advanced Study, after which he was on the faculty at Princeton University (1987–1990) and the University of California, Berkeley (1990–1997), before joining Harvard in 1997.

McMullen received the Salem Prize in 1991 and won the Fields Medal in 1998[1][2] at the International Congress of Mathematicians (ICM) in Berlin.[3] At the 1990 ICM in Kyoto he was an Invited Speaker.[4] He was elected to the National Academy of Sciences in 2007 and in 2012 became a fellow of the American Mathematical Society.[5]

McMullen has delivered an exposition that backgammon ends with probability one.[6]

McMullen, Curt. The Hausdorff dimension of general Sierpiński carpets. Nagoya Math. J. 96 (1984), 1–9.
McMullen, Curt. Area and Hausdorff dimension of Julia sets of entire functions. Trans. Amer. Math. Soc. 300 (1987), no. 1, 329–342.
Eskin, Alex; McMullen, Curt. Mixing, counting, and equidistribution in Lie groups. Duke Math. J. 71 (1993), no. 1, 181–209.
McMullen, Curtis T. Billiards and Teichmüller curves on Hilbert modular surfaces. J. Amer. Math. Soc. 16 (2003), no. 4, 857–885.

——— (1994), Complex Dynamics and Renormalization, Annals of Mathematics Studies, 135, Princeton, NJ: Princeton University Press, ISBN 0-691-02982-2[7]
——— (1996), Renormalization and 3-Manifolds which Fiber over the Circle, Annals of Mathematics Studies, 142, Princeton, NJ: Princeton University Press, ISBN 0-691-01153-2[7]

Borcherds, Gowers, Kontsevich, and McMullen Receive Fields Medals
Lepowsky, James; Lindenstrauss, Joram; Manin, Yuri I.; Milnor, John (January 1999). "The Mathematical Work of the 1998 Fields Medalists" (PDF). Notices of the AMS. 46 (1): 17–26.
McMullen, Curtis T. (1998). "Rigidity and inflexibility in conformal dynamics". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 841–855.
McMullen, Curtis T. (1991). "Rational maps and Kleinian groups". In Satake, Ichiro (ed.). Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, Japan. Tokyo: Springer. pp. 889–900.
List of Fellows of the American Mathematical Society, retrieved 2013-02-04.
Zare, Douglas. "Backgammon Ends".
Lyubich, Mikhail (1999). "Review of Complex dynamics and renormalization and Renormalization and 3-manifolds which fiber over the circle" (PDF). Bull. Amer. Math. Soc. (N.S.). 36 (1): 103–107. doi:10.1090/s0273-0979-99-00770-3.

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.