2013 - Fellow of the American Mathematical Society
1980 - Fellow of Alfred P. Sloan Foundation
His primary scientific interests are in Pure mathematics, Mathematical analysis, Quadratic equation, Geometry and Translation surface. His research ties Structure and Pure mathematics together. His research related to Riemann surface, Teichmüller space, Compact Riemann surface and Metric might be considered part of Mathematical analysis.
His research integrates issues of Surface, Genus and Euclidean geometry in his study of Quadratic equation. His Geometry research incorporates elements of Simplicial complex, Graph and Hierarchy. His studies deal with areas such as Dynamical billiards, Polyhedron, Interval and Differential geometry as well as Translation surface.
Pure mathematics, Teichmüller space, Mathematical analysis, Geodesic and Riemann surface are his primary areas of study. Howard Masur combines subjects such as Quadratic equation, Boundary and Metric with his study of Pure mathematics. His Teichmüller space research incorporates themes from Algebraic geometry, Mapping class group, Curvature and Differential geometry.
In his study, which falls under the umbrella issue of Mapping class group, Intersection and Homotopy is strongly linked to Simplicial complex. His Geodesic study improves the overall literature in Geometry. Howard Masur has researched Riemann surface in several fields, including Quadratic differential, Holomorphic function and Moduli space.
The scientist’s investigation covers issues in Pure mathematics, Ergodic theory, Riemann surface, Invariant and Hausdorff dimension. Howard Masur is studying Teichmüller space, which is a component of Pure mathematics. His study in Teichmüller space is interdisciplinary in nature, drawing from both Mapping class group, Word metric, Scale and Rank.
His Riemann surface study combines topics in areas such as Translation surface, Genus, Expected value and Singularity. His Hausdorff dimension study combines topics from a wide range of disciplines, such as Space, Codimension and Hausdorff space. As part of the same scientific family, Howard Masur usually focuses on Order, concentrating on Moduli space and intersecting with Mathematical analysis.
Howard Masur focuses on Pure mathematics, Mixing, Moduli space, Flow and Riemann surface. The Pure mathematics study combines topics in areas such as Scale, Geodesic and Metric. Howard Masur interconnects Mapping class group, Expected value, Singularity, Translation and Rank in the investigation of issues within Metric.
His Mixing research incorporates a variety of disciplines, including Mathematical analysis, Invariant, Gravitational singularity, Surface and Order. His Mathematical analysis research includes themes of Polynomial and Mathematical physics. Howard Masur combines subjects such as Translation surface, Genus, Moduli of algebraic curves and Geodesic flow with his study of Riemann surface.
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Interval Exchange Transformations and Measured Foliations
Annals of Mathematics (1982)
Geometry of the complex of curves I: Hyperbolicity
Howard A. Masur;Yair N. Minsky.
Inventiones Mathematicae (1999)
GEOMETRY OF THE COMPLEX OF CURVES II: HIERARCHICAL STRUCTURE
Howard A. Masur;Yair N. Minsky.
Geometric and Functional Analysis (2000)
Quadratic differentials and foliations
John Hubbard;Howard Masur.
Acta Mathematica (1979)
Rational billiards and flat structures
Howard Masur;Serge Tabachnikov.
Ergodicity of billiard flows and quadratic differentials
Steven Kerckhoff;Howard Masur;John Smillie.
Annals of Mathematics (1986)
The extension of the Weil-Petersson metric to the boundary of Teichmuller space
Duke Mathematical Journal (1976)
The Poisson boundary of the mapping class group
Vadim A. Kaimanovich;Howard Masur.
Inventiones Mathematicae (1996)
Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel-Veech constants
Alex Eskin;Howard Masur;Anton Zorich.
Publications Mathématiques de l'IHÉS (2003)
Asymptotic formulas on flat surfaces
Alex Eskin;Howard Masur.
Ergodic Theory and Dynamical Systems (2001)
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