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Dynamics on the Unit Disk: Short Geodesics and Simple Cycles
(European Mathematical Society, 2010)
Winning Sets, Quasiconformal Maps and Diophantine Approximation
(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 ...
Rational Maps and \(Teichm\ddot{u}ller\) Space
(Springer, 1994)
Riemann Surfaces and the Geometrization of 3-Manifolds
(American Mathematical Society, 1992)
Rational Maps and Kleinian Groups
(Springer, 1991)
Quasiconformal Isotopies
(Springer, 1988)
Automorphisms of Rational Maps
(Springer, 1988)
Symplectic Rational Blow-Up and Embeddings of Rational Homology Balls
(2012-09-18)
We define the symplectic rational blow-up operation, for a family of rational homology balls \(B_n\), which appeared in Fintushel and Stern's rational blow-down construction. We do this by exhibiting a symplectic structure ...
Braid Groups and Hodge theory
(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 ...