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D-Index & Metrics

Mathematics

D-Index
38
Citations
8620
World Ranking
2293
National Ranking
969

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1980 - Fellow of Alfred P. Sloan Foundation

Overview

Howard Masur is affiliated with the University of Chicago in the United States. Their research primarily lies within the field of Mathematics, with a focus on subfields such as Mathematical Physics, Geometry and Topology, Applied Mathematics, and Computational Theory and Mathematics.

The main topics addressed in their work include:

  • Mathematical Dynamics and Fractals
  • Geometric Analysis and Curvature Flows
  • Stochastic Processes and Statistical Mechanics
  • Geometry and Complex Manifolds
  • Advanced Topology and Set Theory
  • Semigroups and Automata Theory
  • Geometric and Algebraic Topology

Masur's recent scholarly output includes the following papers:

  • "Divergent on average directions of Teichmüller geodesic flow," 2021, Journal of the European Mathematical Society
  • "Expected Covering Radius of a Translation Surface," 2020, International Mathematics Research Notices
  • "The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2," 2020, Inventiones mathematicae
  • "Generic measures for translation surface flows," 2022, Journal of Modern Dynamics
  • "Generic measures for translation surface flows," 2020, arXiv (Cornell University)

Frequent co-authors in Masur's work include:

  • Jayadev S. Athreya
  • Kasra Rafi
  • Anja Randecker
  • Paul Apisa
  • Jon Chaika

Masur has published in various academic venues, the most frequent being:

  • arXiv (Cornell University)
  • Journal of the European Mathematical Society
  • International Mathematics Research Notices
  • Inventiones mathematicae
  • Journal of Modern Dynamics

In addition to journal articles, Masur has contributed to book literature, with a publication titled Translation Surfaces released in 2024 by the American Mathematical Society.

Throughout their career, Masur has received recognition including:

  • Fellow of the American Mathematical Society, awarded in 2013
  • Fellow of the Alfred P. Sloan Foundation, awarded in 1980

Best Publications

  • Interval Exchange Transformations and Measured Foliations

    Howard Masur

  • Geometry of the complex of curves I: Hyperbolicity

    Howard A. Masur;Yair N. Minsky

  • GEOMETRY OF THE COMPLEX OF CURVES II: HIERARCHICAL STRUCTURE

    Howard A. Masur;Yair N. Minsky

  • Quadratic differentials and foliations

    John Hubbard;Howard Masur

  • Rational billiards and flat structures

    Howard Masur;Serge Tabachnikov

  • Ergodicity of billiard flows and quadratic differentials

    Steven Kerckhoff;Howard Masur;John Smillie

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

    Howard Masur

  • The Poisson boundary of the mapping class group

    Vadim A. Kaimanovich;Howard Masur

  • Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel-Veech constants

    Alex Eskin;Howard Masur;Anton Zorich

  • Chapter 13 Rational billiards and flat structures

    Howard Masur;Serge Tabachnikov

  • Hausdorff dimension of sets of nonergodic measured foliations

    Howard Masur;John Smillie

  • Asymptotic formulas on flat surfaces

    Alex Eskin;Howard Masur

  • Closed trajectories for quadratic differentials with an application to billiards

    Howard Masur

  • Hausdorff dimension of the set of nonergodic foliations of a quadratic differential

    Howard Masur

  • The geometry of the disk complex

    Howard Masur;Saul Schleimer

  • On a class of geodesics in Teichmiuller space

    Howard Masur

  • The growth rate of trajectories of a quadratic differential

    Howard Masur

  • Extremal length geometry of teichmüller space

    Frederick P. Gardiner;Howard Masur

  • Superrigidity and mapping class groups

    Benson Farb;Howard Masur

  • Measured foliations and handlebodies

    Howard Masur

  • The Poisson Boundary of the Mapping Class Group and of Teichmüller Space

    Vadim A. Kaimanovich;Howard Masur

Frequent Co-Authors

Alex Eskin
Alex Eskin University of Chicago
Benson Farb
Benson Farb University of Chicago
Serge Tabachnikov
Serge Tabachnikov Pennsylvania State University
David Eisenbud
David Eisenbud University of California, Berkeley
Peter Sarnak
Peter Sarnak Princeton University
Elon Lindenstrauss
Elon Lindenstrauss Hebrew University of Jerusalem

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