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- Howard Masur

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
33
Citations
7,792
97
World Ranking
2133
National Ranking
911

2013 - Fellow of the American Mathematical Society

1980 - Fellow of Alfred P. Sloan Foundation

- Geometry
- Mathematical analysis
- Topology

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.

- Interval Exchange Transformations and Measured Foliations (693 citations)
- Geometry of the complex of curves I: Hyperbolicity (599 citations)
- GEOMETRY OF THE COMPLEX OF CURVES II: HIERARCHICAL STRUCTURE (445 citations)

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.

- Pure mathematics (48.36%)
- Teichmüller space (29.51%)
- Mathematical analysis (29.51%)

- Pure mathematics (48.36%)
- Ergodic theory (22.13%)
- Riemann surface (24.59%)

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.

- Large-scale rank of Teichmüller space (13 citations)
- Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces (11 citations)
- Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces (8 citations)

- Geometry
- Mathematical analysis
- Topology

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Interval Exchange Transformations and Measured Foliations

Howard Masur.

Annals of Mathematics **(1982)**

1003 Citations

Geometry of the complex of curves I: Hyperbolicity

Howard A. Masur;Yair N. Minsky.

Inventiones Mathematicae **(1999)**

863 Citations

GEOMETRY OF THE COMPLEX OF CURVES II: HIERARCHICAL STRUCTURE

Howard A. Masur;Yair N. Minsky.

Geometric and Functional Analysis **(2000)**

563 Citations

Quadratic differentials and foliations

John Hubbard;Howard Masur.

Acta Mathematica **(1979)**

498 Citations

Rational billiards and flat structures

Howard Masur;Serge Tabachnikov.

**(2002)**

444 Citations

Ergodicity of billiard flows and quadratic differentials

Steven Kerckhoff;Howard Masur;John Smillie.

Annals of Mathematics **(1986)**

401 Citations

The extension of the Weil-Petersson metric to the boundary of Teichmuller space

Howard Masur.

Duke Mathematical Journal **(1976)**

398 Citations

The Poisson boundary of the mapping class group

Vadim A. Kaimanovich;Howard Masur.

Inventiones Mathematicae **(1996)**

223 Citations

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)**

206 Citations

Asymptotic formulas on flat surfaces

Alex Eskin;Howard Masur.

Ergodic Theory and Dynamical Systems **(2001)**

200 Citations

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