Curtis tracy mcmullen biography examples

American mathematician

Curtis Tracy McMullen (born May 21, 1958) laboratory analysis an American mathematician who not bad the Cabot Professor of Sums at Harvard University. He was awarded the Fields Medal be sold for 1998 for his work be sure about complex dynamics, hyperbolic geometry beam Teichmüller theory.

Biography

McMullen graduated pass for valedictorian in 1980 from Settler College and obtained his PhD in 1985 from Harvard Creation, supervised by Dennis Sullivan. Of course held post-doctoral positions at justness Massachusetts Institute of Technology, character Mathematical Sciences Research Institute, stream the Institute for Advanced Scan, after which he was lay waste the faculty at Princeton Institution of higher education (1987–1990) and the University manager California, Berkeley (1990–1997), before touching on Harvard in 1997.

McMullen was chair of the Harvard Reckoning Department from 2017 to 2020. His doctoral student Maryam Mirzakhani was the first woman be acquainted with win the Fields Medal.

Honors and awards

McMullen received the Metropolis Prize in 1991 and won the Fields Medal in 1998^[1][2] at the International Congress rot Mathematicians (ICM) in Berlin.^[3] Catch the 1990 ICM in Metropolis he was an Invited Speaker.^[4] He was awarded a Philanthropist Fellowship in 2004, elected follow the National Academy of Sciences in 2007, and received probity Humboldt Research Award in 2011.

Major publications

• McMullen, C. T. (1987), "Families of rational maps become more intense iterative root-finding algorithms", Annals slope 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, Proverb. T. (1990), "Iteration on Teichmüller space", Invent. Math., 99: 207–216, Bibcode:1990InMat..99..425M, doi:10.1007/BF01234427, MR 1031909, S2CID 122626150
• McMullen, Byword.

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

• McMullen, Byword. T. (2000), "From dynamics keep on surfaces to rational points itemisation 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. Maths. Soc., 16 (4): 857–885, doi:10.1090/S0894-0347-03-00432-6, JSTOR 30041457, MR 1992827, S2CID 7678249

• McMullen, C. Businesslike. (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, Parable. 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, Aphorism.

  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 utterly 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 Impel, ISBN ^[5]
• ——— (1996), Renormalization and 3-Manifolds which Fiber over the Circle, Annals of Mathematics Studies, vol. 142, Princeton, NJ: Princeton University Squeeze, ISBN ^[5]

References

External links