Infinitely generated Veech groups

On the geometry and dynamics of diffeomorphisms of surfaces

William P. Thurston · Bulletin of the American Mathematical Society · 1988 · 1.1K citations · Full text

Global Geometry, Geometry, Riemannian Geometry +2

Connected components of the moduli spaces of Abelian differentials with prescribed singularities

Maxim Kontsevich, Anton Zorich · Inventiones mathematicae · 2003 · 475 citations · Full text

Connected Components, Global Analysis, Prescribed Singularities +2

Teichm�ller curves in moduli space, Eisenstein series and an application to triangular billiards

William A. Veech · Inventiones mathematicae · 1989 · 429 citations

Integral Geometry, Moduli Space, Modular Form +4

Topological transitivity of billiards in polygons

A. N. Zemlyakov, A. Katok · Mathematical Notes · 1975 · 274 citations

Discrete Geometry, Geometry, Topological Transitivity +3

Ergodicity of Billiard Flows and Quadratic Differentials

Steven P. Kerckhoff, Howard Masur, John Smillie · Annals of Mathematics · 1986 · 266 citations

Geometric Flow, Un Ensemble Dense, Discrete Dynamical System +4