DR CRAIG HODGSON

TOPOLOGY AND GEOMETRY

Publications

C.D. Hodgson and J. H. Rubinstein, Involutions and isotopies of lens spaces, Lecture Notes in Math. 1144, 60-96, Springer-Verlag, 1985.

C.D. Hodgson, Degeneration and regeneration of geometric structures on 3-manifolds, Ph.D. thesis, (vii + 169 pp.), Princeton University, 1986.

C.D. Hodgson, G. R. Meyerhoff and J. R. Weeks, Surgeries on the Whitehead link yield geometrically similar manifolds, in "Proceedings of Special Semester on Topology at Ohio State University, 1990'', de Gruyter, Berlin-New York, 1992, 195-206.

S. Bleiler and C.D. Hodgson, Spherical space forms and Dehn surgery,
in "Proceedings of the International Conference on Knot Theory and Related Topics, Osaka, 1990'', de Gruyter, Berlin-New York, 1992, 425-433.

C.D. Hodgson, Deduction of Andreev's theorem from Rivin's characterization of convex hyperbolic polyhedra, in "Proceedings of Special Semester on Topology at Ohio State University, 1990'', de Gruyter, Berlin-New York, 1992, 185-193.

C.D. Hodgson, I. Rivin, and W. D. Smith, A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere, Bull. Amer. Math. Soc. 27 (1992), 246-251.

C.D. Hodgson and J. Tysk, Eigenvalue estimates and isoperimetric inequalities for cone-manifolds, Bull. Australian Math. Soc. 47 (1993), 127-144.

I. Rivin and C.D. Hodgson, A characterization of compact convex polyhedra in hyperbolic 3-space, Inventiones Math. 111 (1993), 77-111.

C.D. Hodgson and J. R. Weeks, Symmetries, isometries and length spectra of closed hyperbolic 3-manifolds, Experimental Mathematics 3 (1995), 261-274.

S. Bleiler and C.D. Hodgson, Spherical space forms and Dehn filling,
Topology 35(1996), 809-833.

C.D. Hodgson and S. Kerckhoff, Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery, J. Differential Geometry 48 (1998), 1-59.

S. Bleiler, C.D. Hodgson and J. Weeks, Cosmetic Surgery on Knots, Geometry and Topology Monographs 2 (1999), "Proceedings of the Kirbyfest'', 23-34.

D. Coulson, O. Goodman, C.D. Hodgson and W. D. Neumann, Computing arithmetic invariants of 3-manifolds, Experimental Mathematics 9 (2000), 127-152.

D. Cooper, C.D. Hodgson, and S. Kerckhoff, Three-dimensional Orbifolds and Cone manifolds (x + 170 pp.), Memoirs Math. Soc. Japan 5 (2000), ISBN 4-931469-05-1.

C.D. Hodgson and S. Kerckhoff, Universal bounds for hyperbolic Dehn surgery,
Annals of Mathematics 162 (2005), 367–421.

C.D. Hodgson and S. Kerckhoff, Harmonic deformations of hyperbolic 3-manifolds, in: "Kleinian Groups and Hyperbolic 3-Manifolds'', Lond. Math. Soc. Lec. Notes 299, 41-73, Cambridge Univ. Press, 2003.

Goodman, O., Heard, D., and Hodgson, C.D., Commensurators of cusped hyperbolic manifolds, Experiment. Math. 17 (2008), no. 3, 283–306.

Hodgson, C.D. and Kerckhoff, S., The shape of hyperbolic Dehn surgery space, Geom. Topol. 12 (2008), no. 2, 1033–1090.

D. Heard, C. Hodgson, B. Martelli and C. Petronio, Hyperbolic graphs of small complexity, Experiment. Math. 19 (2010), no. 2, 211–236.

S. Choi, C. Hodgson and G.-S. Lee, Projective Deformations of Hyperbolic Coxeter 3-Orbifolds, Geometriae Dedicata 159 (2012) 125–167.

C. D. Hodgson, J.H. Rubinstein, H. Segerman, S. Tillmann, Veering triangulations admit strict angle structures, Geometry & Topology 15 (2011), 2073–2089.

C. D. Hodgson, J.H. Rubinstein, H. Segerman, Triangulations of hyperbolic 3-manifolds admitting strict angle structures, arXiv:1111.3168, to appear in Journal of Topology.

C. D. Hodgson and H. Masai, On the number of hyperbolic 3-manifolds of a given volume, arXiv:1203.6551, to appear in Proceedings of Conference “Geometry & Topology Down Under”.

Cooper D., Hodgson, C.D., and Kerckhoff, S., The structure of non-compact Euclidean cone manifolds, in preparation.

J. Dowty, C. Hodgson and P. Milley, Constructing hyperbolic structures on 3-manifolds using twisted tetrahedra, in preparation.

C. D. Hodgson, J.H. Rubinstein, H. Segerman, S. Tillmann, Triangulations of 3-manifolds with essential edge loops, in preparation.