Office Phone: (734) 763-5861
Title: Professor
canary@umich.edu
Research Interests
Low-dimensional topology
Kleinian groups
Curriculum Vita:
(1) ``Spectral theory, Hausdorff dimension and the topology of hyperbolic 3-manifolds'', with Edward C. Taylor and Yair N. Minsky , Journal of Geometric Analysis, vol. 9(1999), pp. 17-40. preliminary version: abstract (in html), paper (in postscript)
(2) ``Cores of hyperbolic $3$-manifolds and limits of Kleinian groups II,'' with Jim Anderson , Journal of the London Mathematical Society, vol. 61(2000), pp. 489-505. preliminary version: abstract (in html), paper (in postscript)
(3) ``Hausdorff dimension and limits of Kleinian groups,'' with Edward C. Taylor , Geometric and Functional Analysis, vol. 9 (1999), pp. 283-297. preliminary version: abstract (in html), paper (in postscript)
(4) ``On the topology of deformation spaces of Kleinian groups,'' with Jim Anderson and Darryl McCullough , Annals of Mathematics, vol. 152(2000), pp. 693-741. preliminary version: abstract (in html), paper (in postscript)
(5) ``The visual core of a hyperbolic 3-manifold,'' with Jim Anderson , Mathematische Annalen, vol. 321(2001),pp. 989-1000. preliminary version: abstract (in html), paper (in postscript)
(6) ``The conformal boundary and the boundary of the convex core,'' Duke Mathematical Journal, vol. 106(2001), pp. 193-207. preliminary version: abstract (in html), paper (in postscript)
(7) ``From the boundary of the convex core to the conformal boundary'' with Martin Bridgeman , Geometriae Dedicata, vol. 96(2003), pp. 211-240. preliminary version: paper (in postscript)
(8) ``Homotopy equivalences of 3-manifolds and deformation theory of Kleinian groups'' with Darryl McCullough , Memoirs of the American Mathematical Society, vol. 172(2004), no. 812, preliminary version: paper (in PDF)
(9) ``Approximation by maximal cusps in boundaries of deformation spaces of Kleinian groups'' with Marc Culler , Sa'ar Hersonsky , and Peter Shalen , Journal of Differential Geometry, vol. 64(2003), pp. 57-109. preliminary version: paper (in postscript)
(10) ``Bounding the bending of a hyperbolic 3-manifold'' with Martin Bridgeman , Pacific Journal of Mathematics, vol. 218(2005), pp. 299-314. revised version: paper (in postscript)
(11) ``Ubiquity of geometric finiteness in boundaries of deformation spaces of hyperbolic 3-manifolds,'' with Sa'ar Hersonsky , American Journal of Mathematics, vol. 126(2004), pp. 1193-1220. preliminary version: paper (in postscript)
(12) ``Pushing the boundary,'' In the Tradition of Ahlfors and Bers, III, Contemporary Mathematics vol. 355(2004), American Mathematical Society, 109-121. preliminary version: paper (in postscript)
(13) ``Quasiconformal homogeneity of hyperbolic manifolds,'' with Petra Bonfert-Taylor , Gaven Martin, , and Edward C. Taylor , Mathematische Annalen, 331 (2005), 281-295. preliminary version: paper (in PDF)
(14) ``The classification of Kleinian surface groups II: the ending lamination conjecture,'' with Jeff Brock and Yair Minsky, available here
(15) ``A new foreword for `Notes on Notes of Thurston','' in Fundamentals of Hyperbolic Manifolds: Selected Expositions, London Mathematical Society Lecture Note Series 328, Cambridge University Press, 2006, preliminary version: paper (in PDF)
(16) ``Kleinian groups with discrete length spectrum,'' with Chris Leininger, Bulletin of the London Mathematical Society, 39 (2007), 189-193. preliminary version: here
(17) ``Quasiconformal homogeneity of hyperbolic surfaces with fixed-point full automorphisms,'' with Petra Bonfert-Taylor, Martin Bridgeman, and Edward C. Taylor, Mathematical Proceedings of the Cambridge Philosophical Society, 143 (2007), 71-84. preliminary version: paper (in PDF)
(18) ``Introductory Bumponomics: the topology of deformation spaces of hyperbolic 3-manifolds,'' preliminary version: paper (in PDF)
(19) ``Marden's Tameness Conjecture: history and applications,'' spaces of hyperbolic 3-manifolds,'' preliminary version: paper (in PDF)
