What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (48.36%)
- Teichmüller space (29.51%)
- Mathematical analysis (29.51%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (48.36%)
- Ergodic theory (22.13%)
- Riemann surface (24.59%)
In recent papers he was focusing on the following fields of study:
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.
Between 2015 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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