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Curtis T. McMullen

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Curtis T. McMullen
in 1994
Born
Curtis Tracy McMullen

(1958-05-21) May 21, 1958 (age 66)
Berkeley, California
NationalityAmerican
Alma materHarvard University
Williams College
Known forComplex dynamics, hyperbolic geometry, Teichmüller theory
AwardsSloan Fellowship (1988)
Salem Prize (1991)
Fields Medal (1998)
Guggenheim Fellowship (2004)
Humboldt Prize (2011)
Scientific career
FieldsMathematics
InstitutionsHarvard
MIT
Mathematical Sciences Research Institute
Institute for Advanced Study
Princeton
Berkeley
ThesisFamilies of Rational Maps and Iterative Root-Finding Algorithms (1985)
Doctoral advisorDennis Sullivan
Doctoral studentsJeffrey Brock
Laura DeMarco
Jeremy Kahn
Maryam Mirzakhani
Websitemath.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 PhD 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 was chair of the Harvard Mathematics Department from 2017 to 2020. He was the doctoral advisor of Maryam Mirzakhani who won the Fields Medal as the first female in history.

Honors and awards

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 awarded a Guggenheim Fellowship in 2004, elected to the National Academy of Sciences in 2007, and received the Humboldt Research Award in 2011.

Major publications

  • McMullen, C. T. Families of rational maps and iterative root-finding algorithms. Annals of Math. 125 (1987), 467-493.
  • McMullen, C. T. Amenability, Poincaré series and quasiconformal maps. Invent. math. 97 (1989), 95-127.
  • McMullen, C. T. Iteration on Teichmüller space. Invent. math. 99 (1990), 207-216.
  • McMullen, C. T. Cusps are dense. Annals of Math. 133(1991), 217-247.
  • McMullen, C. T. From dynamics on surfaces to rational points on curves. Bull. Amer. Math. Soc. 37 (2000), 119–140.
  • McMullen, C. T. Billiards and Teichmüller curves on Hilbert modular surfaces. J. Amer. Math. Soc. 16 (2003), no. 4, 857–885.
  • McMullen, C. T. Minkowski's conjecture, well-rounded lattices and topological dimension, J. Amer. Math. Soc. 18(2005), 711-734.
  • McMullen, C. T. Automorphisms of projective K3 surfaces with minimum entropy. Invent. math. 203(2016), 179–215.
  • McMullen, C. T., Mohammadi, A. and Oh, H. Geodesic planes in hyperbolic 3-manifolds. Invent. math. 209 (2017), 425-461.
  • McMullen, C. T., Mukamel, R. and Wright, A. Cubic curves and totally geodesic subvarieties of moduli space. Annals of Math. 185 (2017), 957–990.

Books

  • ——— (1994), Complex Dynamics and Renormalization, Annals of Mathematics Studies, vol. 135, Princeton, NJ: Princeton University Press, ISBN 0-691-02982-2[5]
  • ——— (1996), Renormalization and 3-Manifolds which Fiber over the Circle, Annals of Mathematics Studies, vol. 142, Princeton, NJ: Princeton University Press, ISBN 0-691-01153-2[5]

References

  1. ^ Borcherds, Gowers, Kontsevich, and McMullen Receive Fields Medals
  2. ^ 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.
  3. ^ McMullen, Curtis T. (1998). "Rigidity and inflexibility in conformal dynamics". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 841–855.
  4. ^ 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.
  5. ^ a b 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.
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