Howard Masur
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American mathematician
Howard Masur's AcademicInfluence.com Rankings
Howard Masurmathematics Degrees
Mathematics
#2181
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#3403
Historical Rank
#870
USA Rank
Topology
#33
World Rank
#51
Historical Rank
#15
USA Rank
Measure Theory
#2442
World Rank
#2925
Historical Rank
#693
USA Rank
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Mathematics
Howard Masur's Degrees
- PhD Mathematics Princeton University
Why Is Howard Masur Influential?
(Suggest an Edit or Addition)According to Wikipedia, Howard Alan Masur is an American mathematician who works on topology, geometry, and combinatorial group theory. Biography Masur was an invited speaker at the 1994 International Congress of Mathematicians in Zürich. and is a fellow of the American Mathematical Society.
Howard Masur's Published Works
Published Works
- Interval Exchange Transformations and Measured Foliations (1982) (742)
- Geometry of the complex of curves I: Hyperbolicity (1998) (685)
- Geometry of the complex of curves II: Hierarchical structure (1998) (602)
- Quadratic differentials and foliations (1979) (447)
- Rational billiards and flat structures (2002) (349)
- Ergodicity of billiard flows and quadratic differentials (1986) (323)
- The extension of the Weil-Petersson metric to the boundary of Teichmuller space (1976) (258)
- Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel–Veech constants (2002) (202)
- Hausdorff dimension of sets of nonergodic measured foliations (1991) (189)
- The Poisson boundary of the mapping class group (1996) (175)
- Asymptotic formulas on flat surfaces (2001) (165)
- Hausdorff dimension of the set of nonergodic foliations of a quadratic differential (1992) (154)
- Closed trajectories for quadratic differentials with an application to billiards (1986) (148)
- The geometry of the disk complex (2010) (142)
- Extremal length geometry of teichmüller space (1991) (136)
- The growth rate of trajectories of a quadratic differential (1990) (134)
- Chapter 13 Rational billiards and flat structures (2002) (108)
- Superrigidity and mapping class groups (1998) (107)
- Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms (1993) (99)
- On a class of geodesics in Teichmiuller space (1975) (94)
- Lower bounds for the number of saddle connections and closed trajectories of a quadratic differential (1988) (93)
- Measured foliations and handlebodies (1986) (93)
- Billiards in rectangles with barriers (2001) (90)
- Teichmuller Space is Not Gromov Hyperbolic (1994) (85)
- The Weil–Petersson Isometry Group (2000) (76)
- Two boundaries of Teichmüller space (1982) (74)
- Uniquely ergodic quadratic differentials (1980) (70)
- Quasiconvexity in the curve complex (2003) (70)
- Multiple Saddle Connections on Flat Surfaces and the Principal Boundry of the Moduli Spaces of Quadratic Differentials (2008) (54)
- Chapter 7 – Ergodic Theory of Translation Surfaces (2006) (53)
- Dichotomy for the Hausdorff dimension of the set of nonergodic directions (2003) (51)
- Coarse and synthetic Weil–Petersson geometry: quasi-flats, geodesics and relative hyperbolicity (2007) (48)
- Ergodic actions of the mapping class group (1985) (45)
- Asymptotics of Weil–Petersson Geodesics I: Ending Laminations, Recurrence, and Flows (2008) (44)
- Asymptotics of Weil–Petersson Geodesics II: Bounded Geometry and Unbounded Entropy (2010) (38)
- Criteria for the divergence of pairs of Teichmüller geodesics (2010) (35)
- The Weil-Petersson geodesic flow is ergodic (2010) (33)
- Problems on billiards, flat surfaces and translation surfaces (2006) (32)
- A foliation of Teichmüller space by twist invariant disks. (1975) (32)
- On train-track splitting sequences (2010) (27)
- The Teichmüller flow is Hamiltonian (1995) (27)
- Large-scale rank of Teichmüller space (2013) (25)
- The Jenkins Strebel differentials with one cylinder are dense (1979) (24)
- In the Tradition of Ahlfors-Bers, IV (2007) (24)
- Statistical Hyperbolicity in Teichmüller Space (2014) (23)
- Multiple Saddle Connections on Flat Surfaces and Principal Boundary of the Moduli Spaces of Quadrati (2004) (23)
- Geometry of Teichmüller space with the Teichmüller metric (2009) (21)
- Transitivity properties of the horocyclic and geodesic flows on moduli space (1981) (21)
- The Pants Complex Has Only One End (2003) (18)
- Minimal non-ergodic directions on genus-2 translation surfaces (2005) (18)
- Spaces of Kleinian Groups: The pants complex has only one end (2006) (17)
- The Poisson Boundary of Teichmüller Space (1998) (17)
- Teichmuller geometry of moduli space, I: Distance minimizing rays and the Deligne-Mumford compactification (2008) (16)
- Dense Geodesics in Moduli Space (1981) (15)
- Winning games for bounded geodesics in moduli spaces of quadratic differentials (2011) (15)
- Topological dichotomy and strict ergodicity for translation surfaces (2006) (14)
- Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces (2016) (14)
- A divergent teichmüller geodesic with uniquely ergodic vertical foliation (2005) (14)
- Siegel-Veech transforms are in $L^2$ (2017) (12)
- A rational billiard flow is uniquely ergodic in almost every direction (1985) (11)
- There exists an interval exchange with a non-ergodic generic measure (2014) (10)
- Winning games for bounded geodesics in Teichmueller discs (2011) (10)
- Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces (2013) (9)
- Random walks on Teichmuller space and the mapping class group (1995) (9)
- On the existence and uniqueness of Strebel differentials (1976) (8)
- Unstable Quasi-Geodesics In Teichm Uller Space (1999) (7)
- Teichmuller geometry of moduli space, II: M(S) seen from far away (2008) (7)
- Limits in 𝒫ℳℱ of Teichmüller geodesics (2014) (6)
- The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2 (2018) (4)
- Divergent on average directions of Teichmüller geodesic flow (2018) (4)
- The shape of a generic translation surface (2018) (4)
- Statistical hyperbolicity in Teichm\"uller space (2011) (4)
- Teichmüller Space, Dynamics, Probability (1995) (3)
- Counting pairs of saddle connections (2022) (3)
- Rigidity of Teichmüller space (2015) (3)
- Expected Covering Radius of a Translation Surface (2018) (3)
- Siegel–Veech transforms are in \begin{document}$ \boldsymbol{L^2} $\end{document}(with an appendix by Jayadev S. Athreya and Rene Rühr) (2019) (2)
- Addendum to: A foliation of Teichmüller space by twist invariant disks. (1976) (2)
- Hausdorff dimension of divergent Teichmüller geodesics (1991) (2)
- The curvature of teichmuller space (1974) (2)
- THE POISSON BOUNDARY OF TEICHM ULLER (1995) (2)
- Rates of mixing of Weil-Pertesson geodesic flows (2013) (1)
- Bill Veech's contributions to dynamical systems (2019) (1)
- Divergence of Teichmueller Geodesics (2008) (1)
- Spheres in the curve complex (2011) (1)
- Maryam Mirzakhani: 1977–2017 (2018) (1)
- Flat Surfaces and Dynamics on Moduli Space (2014) (1)
- Ergodicity of geodesic flows on incomplete negatively curved manifolds (2017) (1)
- The shape of a generic translation surface in the minimal stratum (2018) (1)
- Statistical Hyperbolicity in Teichmüller Space (2014) (0)
- Review: Kurt Strebel, Quadratic differentials (1985) (0)
- Combinatorial geometry of generic degenerations of quadratic differentials (2007) (0)
- In the tradition of Ahlfors-Bers, V : the triennial Ahlfors-Bers Colloquium, May 8-11, 2008, Rutgers University, Newark, New Jersey (2010) (0)
- A ug 2 00 0 The Weil-Petersson Isometry Group (2008) (0)
- Limits in Pmf of Teichm¨uller Geodesics (0)
- Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces (2017) (0)
- Catégories dérivées et variétés de Deligne-Lusztig . Moduli spaces of Abelian differentials : the principal boundary counting problems, and the Siegel-Veech constants . Convexes hyperboliques et fonctions quasisymétriques . The Connes-Kasparov conjecture for almost connected groups and for linear p- (2003) (0)
- Book Review: Quadratic differentials (1985) (0)
- 1 Polygonal billiards , rational billiards 1 . 1 Polygonal billiards (2006) (0)
- Ergodicity of the Weil–Petersson Geodesic Flow (2017) (0)
- Generic measures for translation surface flows (2020) (0)
- Legacy of work of Bers on the mapping class group (2015) (0)
- Billiards, Flat Surfaces, and Dynamics on Moduli Spaces (2011) (0)
- 2 8 Ju l 2 00 1 Billiards in rectangles with barriers (2008) (0)
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Howard Masur is affiliated with the following schools: