Marc Culler

Mathematical publications

Most of these papers can be downloaded by clicking on the title. For reviews, see MathSciNet.

• Orderability and Dehn filling (ArXiv version)
  (with Nathan Dunfield)
• 4-free groups and hyperbolic geometry. (ArXiv version)
  (with Peter Shalen)
• Margulis numbers for Haken manifolds. (ArXiv version)
  (with Peter Shalen)
• Singular surfaces, mod 2 homology, and hyperbolic volume, II. (ArXiv version)
  (with Peter Shalen)
• Singular surfaces, mod 2 homology, and hyperbolic volume. I. (ArXiv version)
  (with Ian Agol, Peter Shalen)
• Incompressible surfaces, hyperbolic volume, Heegaard genus and homology. (ArXiv version)
  (with Jason DeBlois, Peter Shalen)
• Betti numbers and injectivity radii. (ArXiv version)
  (with Peter Shalen)
• Characteristic subsurfaces, character varieties and Dehn fillings. (ArXiv version)
  (with Steve Boyer, Peter Shalen, Xingru Zhang)
• Volume and homology of one-cusped hyperbolic 3-manifolds. (ArXiv version)
  (with Peter Shalen)
• Dehn surgery, homology and hyperbolic volume. (ArXiv version)
  (with Ian Agol, Peter Shalen)
• Characteristic subsurfaces and Dehn filling. (ArXiv version)
  (with Steve Boyer, Peter Shalen, Xingru Zhang)
• Knots with only two strict essential surfaces.
  (with Peter Shalen)
• Approximation by maximal cusps in boundaries of deformation spaces of Kleinian groups.
  (with Dick Canary, Sa'ar Hersonsky, Peter Shalen)
• Boundary slopes of knots.
  (with Peter Shalen)
• The first Betti number of the smallest closed hyperbolic 3-manifold.
  (with Sa'ar Hersonsky, Peter Shalen)
• Volumes of hyperbolic Haken manifolds. II.
  (with Peter Shalen)
• A group-theoretic criterion for property FA.
  (with Karen Vogtmann)
• Free Kleinian groups and volumes of hyperbolic 3-manifolds.
  (with Jim Anderson, Dick Canary, Peter Shalen)
• The volume of a hyperbolic 3-manifold with Betti number 2.
  (with Peter Shalen)
• Plane curves associated to character varieties of 3-manifolds.
  (with Daryl Cooper, Henri Gillet, Darren Long, Peter Shalen)
• Volumes of hyperbolic Haken manifolds. I.
  (with Peter Shalen)
• Hyperbolic volume and mod p homology.
  (with Peter Shalen)
• Paradoxical decompositions, 2-generator Kleinian groups, and volumes of hyperbolic 3-manifolds.
  (with Peter Shalen)
• The boundary of outer space in rank two.
  (with Karen Vogtmann)
• Dehn surgery on knots.
  (with Cameron Gordon, John Luecke, Peter Shalen)
• Group actions on R-trees.
  (with John Morgan)
• Lifting representations to covering groups.
  
• Moduli of graphs and automorphisms of free groups.
  (with Karen Vogtmann)
• Dehn surgery on knots.
  (with Cameron Gordon, John Luecke, Peter Shalen)
• Bounded, separating, incompressible surfaces in knot manifolds.
  (with Peter Shalen)
• Finite groups of outer automorphisms of a free group.
  
• Varieties of group representations and splittings of 3-manifolds.
  (with Peter Shalen)
• Incompressible surfaces in once-punctured torus bundles.
  (with William Jaco, Hyam Rubinstein)
• Using surfaces to solve equations in free groups.
  
• Homology equivalent finite groups are isomorphic.
  

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