Biography:Curtis T. McMullen
Curtis T. McMullen | |
|---|---|
 McMullen in 1994 | |
| Born | Curtis Tracy McMullen May 21, 1958 Berkeley, California, US |
| 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 |
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. (1987), "Families of rational maps and iterative root-finding algorithms", Annals of Math. 125 (3): 467–493, doi:10.2307/1971408, http://nrs.harvard.edu/urn-3:HUL.InstRepos:9876064
- McMullen, C. T. (1989), "Amenability, Poincaré series and quasiconformal maps", Invent. Math. 97: 95–127, doi:10.1007/BF01850656, Bibcode: 1989InMat..97...95M, http://nrs.harvard.edu/urn-3:HUL.InstRepos:3446032
- McMullen, C. T. (1990), "Iteration on Teichmüller space", Invent. Math. 99: 207–216, doi:10.1007/BF01234427, Bibcode: 1990InMat..99..425M
- McMullen, C. T. (1991), "Cusps are dense", Annals of Math. 133 (1): 217–247, doi:10.2307/2944328, http://nrs.harvard.edu/urn-3:HUL.InstRepos:3597232
- McMullen, C. T. (2000), "From dynamics on surfaces to rational points on curves", Bull. Amer. Math. Soc. 37 (2): 119–140, doi:10.1090/S0273-0979-99-00856-3
- McMullen, C. T. (2003), "Billiards and Teichmüller curves on Hilbert modular surfaces", J. Amer. Math. Soc. 16 (4): 857–885, doi:10.1090/S0894-0347-03-00432-6
- McMullen, C. T. (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
- McMullen, C. T. (2016), "Automorphisms of projective K3 surfaces with minimum entropy", Invent. Math. 203 (1): 179–215, doi:10.1007/S00222-015-0590-Z, Bibcode: 2016InMat.203..179M
- McMullen, C. T. et al. (2017), "Geodesic planes in hyperbolic 3-manifolds", Invent. Math. 209 (2): 425–461, doi:10.1007/s00222-016-0711-3, Bibcode: 2017InMat.209..425M, http://nrs.harvard.edu/urn-3:HUL.InstRepos:24981207
- McMullen, C. T. et al. (2017), "Cubic curves and totally geodesic subvarieties of moduli space", Annals of Math. 185 (3): 957–990, doi:10.4007/annals.2017.185.3.6, http://nrs.harvard.edu/urn-3:HUL.InstRepos:34334609
Books
References
- ↑ 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". Notices of the AMS 46 (1): 17–26. https://www.ams.org/notices/199901/fields.pdf.
- ↑ McMullen, Curtis T. (1998). "Rigidity and inflexibility in conformal dynamics". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 841–855. https://www.elibm.org/ft/10011671000.
- ↑ McMullen, Curtis T. (1991). "Rational maps and Kleinian groups". in Satake, Ichiro. Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, Japan. Tokyo: Springer. pp. 889–900.
- ↑ 5.0 5.1 Lyubich, Mikhail (1999). "Review of Complex dynamics and renormalization and Renormalization and 3-manifolds which fiber over the circle". Bull. Amer. Math. Soc. (N.S.) 36 (1): 103–107. doi:10.1090/s0273-0979-99-00770-3. https://www.ams.org/journals/bull/1999-36-01/S0273-0979-99-00770-3/S0273-0979-99-00770-3.pdf.
External links
- Curtis T McMullen at Harvard.
- O'Connor, John J.; Robertson, Edmund F., "Curtis T. McMullen", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/McMullen.html.
- Curtis T. McMullen at the Mathematics Genealogy Project
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