Person: McMullen, Curtis
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Publication Riemann Surfaces and the Geometrization of 3-Manifolds
(American Mathematical Society, 1992) McMullen, CurtisPublication Rational Maps and Kleinian Groups
(Springer, 1991) McMullen, CurtisPublication Rational Maps and (Teichm\ddot{u}ller) Space
(Springer, 1994) McMullen, CurtisPublication Winning Sets, Quasiconformal Maps and Diophantine Approximation
(Springer, 2010) McMullen, CurtisThis paper describes two new types of winning sets in (\mathbb{R}^n), defined using variants of Schmidt’s game. These strong and absolute winning sets include many Diophantine sets of measure zero and first category, and have good behavior under countable intersections. Most notably, they are invariant under quasiconformal maps, while classical winning sets are not.
Publication Dynamics on the Unit Disk: Short Geodesics and Simple Cycles
(European Mathematical Society, 2010) McMullen, CurtisPublication Navigating Moduli Space with Complex Twists
(European Mathematical Society, 2012-11-16) McMullen, CurtisPublication Braid Groups and Hodge theory
(Springer, 2012) McMullen, CurtisThis paper gives an account of the unitary representations of the braid group that arise via the Hodge theory of cyclic branched coverings of (\mathbb{P}^1) , highlighting their connections with ergodic theory, complex reflection groups, moduli spaces of 1-forms and open problems in surface topology.
Publication Dynamics on Algebraic Surfaces
(Max-Planck Institut, 2007) McMullen, CurtisPublication Cascades in the Dynamics of Measured Foliations
(Elsevier Masson, 2014-03-14) McMullen, CurtisPublication Knots which Behave Like the Prime Numbers
(Oxford University Press (OUP), 2013) McMullen, CurtisThis paper establishes a version of the Chebotarev density theorem in which number fields are replaced by 3-manifolds.