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Now showing items 21-30 of 78

Dynamics on Blowups of the Projective Plane

McMullen, Curtis T. (Springer Berlin / Heidelberg, 2007)

Prym Varieties and Teichmüller Curves

McMullen, Curtis T. (Duke University Press, 2007)

This article gives a uniform construction of infinitely many primitive Teichmüller curves V⊂Mg for g=2, 3, and 4.

Dynamics on the Unit Disk: Short Geodesics and Simple Cycles

McMullen, Curtis T. (European Mathematical Society, 2010)

Winning Sets, Quasiconformal Maps and Diophantine Approximation

McMullen, Curtis T. (Springer, 2010)

This 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 ...

Riemann Surfaces and the Geometrization of 3-Manifolds

McMullen, Curtis T. (American Mathematical Society, 1992)

Rational Maps and Kleinian Groups

McMullen, Curtis T. (Springer, 1991)

Rational Maps and \(Teichm\ddot{u}ller\) Space

McMullen, Curtis T. (Springer, 1994)

Braid Groups and Hodge theory

McMullen, Curtis T. (Springer, 2012)

This 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 ...

Dynamics on Algebraic Surfaces

McMullen, Curtis T. (Max-Planck Institut, 2007)

Navigating Moduli Space with Complex Twists

McMullen, Curtis T. (European Mathematical Society, 2012-11-16)

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