William Goldman
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American mathematician
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William Goldman mathematics Degrees
Mathematics
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#4078
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#1039
USA Rank
Measure Theory
#1992
World Rank
#2419
Historical Rank
#596
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Mathematics
William Goldman 's Degrees
- Bachelors Mathematics Columbia University
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Why Is William Goldman Influential?
(Suggest an Edit or Addition)According to Wikipedia, William Mark Goldman is a professor of mathematics at the University of Maryland, College Park . He received a B.A. in mathematics from Princeton University in 1977, and a Ph.D. in mathematics from the University of California, Berkeley in 1980.
William Goldman 's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The Symplectic Nature of Fundamental Groups of Surfaces (1984) (771)
- Invariant functions on Lie groups and Hamiltonian flows of surface group representations (1986) (499)
- The deformation theory of representations of fundamental groups of compact Kähler manifolds (1988) (410)
- Topological components of spaces of representations (1988) (401)
- Convex real projective structures on compact surfaces (1990) (246)
- Three-dimensional affine crystallographic groups☆ (1983) (229)
- Complex Hyperbolic Geometry (1999) (212)
- GEOMETRIC STRUCTURES ON MANIFOLDS AND VARIETIES OF REPRESENTATIONS (1988) (167)
- Affine manifolds with nilpotent holonomy (1981) (156)
- Projective structures with Fuchsian holonomy (1987) (155)
- Convex real projective structures on closed surfaces are closed (1993) (155)
- Ergodic theory on moduli spaces (1997) (135)
- The homotopy invariance of the Kuranishi space (1990) (125)
- Local rigidity of discrete groups acting on complex hyperbolic space (1987) (125)
- The Modular Group Action on Real SL(2)-characters of a One-Holed Torus (2003) (121)
- Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces (2009) (117)
- Representations of fundamental groups of surfaces (1985) (95)
- Complex hyperbolic ideal triangle groups. (1992) (92)
- Nonstandard Lorentz space forms (1985) (82)
- The radiance obstruction and parallel forms on affine manifolds (1984) (77)
- The fundamental group of a compact flat Lorentz space form is virtually polycyclic (1983) (74)
- Proper affine actions and geodesic flows of hyperbolic surfaces (2004) (64)
- The classification of real projective structures on compact surfaces (1997) (62)
- Flat Lorentz 3-Manifolds and Cocompact Fuchsian Groups (2000) (58)
- MAPPING CLASS GROUP DYNAMICS ON SURFACE GROUP REPRESENTATIONS (2005) (57)
- Complex hyperbolic manifolds homotopy equivalent to a Riemann surface (2001) (57)
- The complex-symplectic geometry of SL(2,C)-characters over surfaces (2003) (57)
- A primer on the (2 + 1) Einstein universe (2007) (56)
- THE GEOMETRY OF CROOKED PLANES (1999) (53)
- Affine manifolds and orbits of algebraic groups (1986) (53)
- Locally Homogeneous Geometric Manifolds (2010) (52)
- COMPLETE FLAT LORENTZ 3-MANIFOLDS WITH FREE FUNDAMENTAL GROUP (1990) (51)
- Notes on a paper of Mess (2007) (50)
- The Topology of the Relative Character Varieties of a Quadruply-Punctured Sphere (1999) (50)
- Conformally flat manifolds with nilpotent holonomy and the uniformization problem for 3-manifolds (1983) (49)
- PROJECTIVE GEOMETRY ON MANIFOLDS (1988) (49)
- Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space (1992) (48)
- THE DEFORMATION SPACES OF CONVEX RP²-STRUCTURES ON 2-ORBIFOLDS (2001) (47)
- THE GODBILLON-VEY INVARIANT OF A TRANSVERSELY HOMOGENEOUS FOLIATION (1984) (40)
- Affine deformations of a three-holed sphere (2009) (36)
- An Ergodic Action of the Outer Automorphism Group of a Free Group (2005) (35)
- Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces (2004) (34)
- Volumes in Seifert space (1984) (33)
- Complete Flat Affine and Lorentzian Manifolds (2003) (31)
- Characteristic classes and representations of discrete subgroups of Lie groups (1982) (31)
- Some open questions on anti-de Sitter geometry (2012) (31)
- Topological tameness of Margulis Spacetimes (2012) (30)
- GEOMETRIC STRUCTURES AND VARIETIES OF REPRESENTATIONS (1988) (29)
- TWO EXAMPLES OF AFFINE MANIFOLDS (1981) (27)
- Ergodicity of Mapping Class Group Actions on SU(2)-character varieties (2009) (27)
- Isospectrality of Flat Lorentz 3-Manifolds (2001) (27)
- Finite‐sided deformation spaces of complete affine 3‐manifolds (2011) (26)
- ENERGY OF TWISTED HARMONIC MAPS OF RIEMANN SURFACES (2005) (25)
- Geometry of Group Representations (1988) (25)
- An exposition of results of Fricke (2004) (25)
- The Margulis Invariant of Isometric Actions on Minkowski (2+1)-Space (2002) (23)
- Geometry, topology and dynamics of character varieties (2012) (21)
- Crooked surfaces and anti-de Sitter geometry (2013) (19)
- Flat bundles with solvable holonomy (1981) (18)
- Affine Schottky Groups and Crooked Tilings (2010) (18)
- Projective Geometry on Manifolds Lecture Notes (v.0.3) | Mathematics 748b Spring 1988 (1988) (16)
- A 3-Manifold with no Real Projective Structure (2012) (16)
- Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane (2015) (15)
- Homological action of the modular group on some cubic moduli spaces (2004) (15)
- Crooked Halfspaces (2012) (14)
- Is the deformation space of complete affine structures on the 2-torus smooth? (2004) (14)
- Polynomial forms on affine manifolds. (1982) (14)
- A generalization of Bieberbach's theorem (1981) (14)
- Differential graded Lie algebras and singularities of level sets of momentum mappings (1990) (14)
- Affine manifolds and solvable groups (1980) (13)
- Higgs Bundles and Geometric Structures on Surfaces (2008) (13)
- On the polynomial cohomology of affine manifolds (1982) (13)
- Affine cubic surfaces and relative SL(2)-character varieties of compact surfaces (2010) (12)
- The symplectic geometry of affine connenctions on surfaces. (1990) (11)
- Invariant measures for affine foliations (1982) (11)
- Geodesics in Margulis spacetimes (2011) (11)
- Bulging deformations of convex $RP^2$-manifolds (2013) (10)
- Flat bundles with solvable holonomy. II. Obstruction theory (1981) (10)
- Proper affine deformation spaces of two-generator Fuchsian groups (2015) (9)
- The deformation spaces of convex [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-structures on 2-orbifolds (2005) (9)
- Conformal automorphisms and conformally flat manifolds (1991) (9)
- Proper actions of discrete groups of affine transformations (2020) (9)
- Eichler-Shimura homology and the finite generation of cusp forms by hyperbolic Poincaré series (1986) (9)
- Action of the Johnson-Torelli group on representation varieties (2010) (9)
- AN EXPOSITION OF RESULTS OF FRICKE AND VOGT (2005) (9)
- Two papers which changed my life: Milnor's seminal work on flat manifolds and flat bundles (2011) (8)
- PROPER AFFINE DEFORMATIONS OF THE ONE-HOLED TORUS (2015) (8)
- The deformation spaces of projectively flat structures on 2-orbifolds (2001) (7)
- Recurrent Geodesics in Flat Lorentz 3-Manifolds (2004) (6)
- Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective (2019) (6)
- Dynamics of the Automorphism Group of the GL(2,R)-Characters of a Once-puncutred Torus (2003) (5)
- Affine Coxeter Extensions of the Two-Holed Projective Plane (2015) (4)
- Mixing Flows on Moduli Spaces of Flat Bundles over Surfaces (2017) (4)
- A Projective Structure? (2006) (4)
- Topology and Geometry. By Glen E. Bredon (1998) (4)
- Milnor's seminal work on flat manifolds and bundles (2011) (3)
- The Mapping Class Group acts reducibly on SU(n)-character varieties (2005) (3)
- McShane-type Identities for Affine Deformations (2015) (3)
- Complete affine manifolds : a survey (2013) (3)
- Dirichlet polyhedra in complex hyperbolic space (1990) (2)
- Mapping class action on SU(3)-character varieties (2019) (2)
- Deformations of Flat Bundles Over Kähler Manifolds (2020) (2)
- Geometry, Groups and Dynamics (2015) (2)
- Einstein tori and crooked surfaces (2017) (2)
- The Modular Group Action On Real SL(2)-Characters Of A PUNCTURED TORUS (2000) (1)
- The mapping class group action on $\mathsf{SU}(3)$ -character varieties (2020) (1)
- Tameness of Margulis space-times with parabolics (2017) (1)
- Parallelism on Lie groups and Fox’s free differential calculus (2020) (1)
- New techniques in Lorentz manifolds: foreword (2007) (1)
- Stretching Three-Holed Spheres and the Margulis Invariant (2009) (1)
- New Techniques in Lorentz Manifolds (1)
- Guest editor's introduction (1988) (1)
- Geometry of group representations : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 5-11, 1987 with support from the National Science Foundation (1988) (0)
- Geometric structures on orbifolds and the PGL(3, R)-Teichmuller components of 2-orbifolds (2001) (0)
- EXPERIMENTAL GEOMETRY LAB AT THE UNIVERSITY OF MARYLAND (2016) (0)
- Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus (2022) (0)
- CONFORMAL AUTOMORPHISMS AND CONFORMALLY (2010) (0)
- PROPER AFFINE DEFORMATIONS OF THE ONE-HOLED TORUS (2016) (0)
- Geometry, groups and dynamics : ICTS program : groups, geometry and dynamics, December 3-16, 2012, CEMS, Kumaun University, Almora, India (2015) (0)
- Special Issue: GESTA 2011: New Trends in Symplectic and Contact Geometry Preface (2013) (0)
- THE PGL(3;R)-TEICHM ULLER COMPONENTS OF 2-ORBIFOLDS OF NEGATIVE EULER CHARACTERISTIC (2000) (0)
- Review: Ravi S. Kulkarni and Ulrich Pinkall, Conformal geometry (1990) (0)
- Preface (2013) (0)
- Manifolds: a global setting for geometry and analysis, with or without coordinates (2012) (0)
- Antitubercular drugs (2021) (0)
- Book Review: An extension of Casson's invariant (1994) (0)
- Geometric Structures on Manifolds (2022) (0)
- Geometry Labs United: An Invitation (2018) (0)
- Booklet of the 4 th Kortrijk Workshop Discrete groups and Geometric Structures with Applications Oostende , May 31-June 3 , 2005 (0)
- Crooked surfaces and anti-de Sitter geometry (2014) (0)
- Afflne manilolds with nilpotent holonomy (2007) (0)
- Index to Volume 47 (2000) (0)
- RECURRENT GEODESICS IN FLAT LORENTZ 3 (0)
- Compact components of planar surface group representations (2022) (0)
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