Publications

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  • Yang Tianyu, C. Hodgson. A combinatorial curvature flow for ideal triangulations. 2019.

  • A. Issa, C. Hodgson. Triangulating Cappell-Shaneson homotopy 4-spheres. 2017.

  • C. Hodgson, Ahmad Issa, Henry Segerman. Non-geometric Veering Triangulations. Experimental Mathematics, 25, 17-45, 2016. doi: 10.1080/10586458.2015.1005256.

  • S. Garoufalidis, C. Hodgson, N. Hoffman, J. Rubinstein. The 3D-index and normal surfaces. Illinois Journal of Mathematics, 60, 289-352, 2016.

  • C. Hodgson, J Hyam Rubinstein, Henry Segerman, Stephan Tillmann. Triangulations of 3–Manifolds with essential edges. Annales de la faculté des sciences de Toulouse Mathématiques, 24, 1103-1145, 2015. doi: 10.5802/afst.1477.

  • Stavros Garoufalidis, C. Hodgson, J Hyam Rubinstein, H. Segerman. 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold. Geometry & Topology, 19, 2619-2689, 2015. doi: 10.2140/gt.2015.19.2619.

  • Choi, C. Hodgson, Lee. Projective deformations of hyperbolic Coxeter 3-orbifolds. Geometriae Dedicata, 159, 125-167, 2012. doi: 10.1007/s10711-011-9650-8.

  • C. Hodgson, J. Rubinstein, H. Segerman. Triangulations of hyperbolic 3-manifolds admitting strict angle structures. Journal of Topology, 5, 887-908, 2012. doi: 10.1112/jtopol/jts022.

  • C. Hodgson, Masai. On the number of hyperbolic 3-manifolds of a given volume. Contemporary Mathematics : Geometry and Topology Down Under, 597, 295-320, 2011. doi: 10.1090/conm/597/11767.

  • C. Hodgson, J. Rubinstein, H. Segerman, S. Tillmann, J Hyam Rubinstein. Veering triangulations admit strict angle structures. Geometry and Topology, 15, 2073-2089, 2011. doi: 10.2140/gt.2011.15.2073.

  • D. Heard, C. Hodgson, Martelli, Petronio. Hyperbolic graphs of small complexity. Experimental Mathematics, 19, 211-236, 2010. doi: 10.1080/10586458.2010.10129072.

  • C. Hodgson, S Kerckhoff. The shape of hyperbolic Dehn surgery space. Geometry and Topology, 12, 1033-1090, 2008. doi: 10.2140/gt.2008.12.1033.

  • O. Goodman, D. Heard, C. Hodgson. Commensurators of cusped hyperbolic manifolds. Experimental Mathematics, 17, 283-306, 2008. doi: 10.1080/10586458.2008.10129044.

  • C. Hodgson, SP Kerckhoff. Universal bounds for hyperbolic Dehn surgery. Annals of Mathematics, 162, 367-421, 2005. doi: 10.4007/annals.2005.162.367.

  • C. Hodgson, SP Kerckhoff. Harmonic deformations of hyperbolic 3-manifolds. Kleinian groups and hyperbolic 3-manifolds, 299, 41-73, 2001.

  • D Coulson, OA Goodman, C. Hodgson, WD Neumann. Computing arithmetic invariants of 3-manifolds. Experimental Mathematics, 9, 127-152, 2000. doi: 10.1080/10586458.2000.10504641.

  • C. Hodgson, SP Kerckhoff. Rigidity of hyperbolic cone-manifolds and hyperbolic dehn surgery. Journal of Differential Geometry, 48, 1-59, 1998. doi: 10.4310/jdg/1214460606.

  • SA Bleiler, C. Hodgson. Spherical space forms and Dehn filling. Topology, 35, 809-833, 1996. doi: 10.1016/0040-9383(95)00040-2.

  • C. Hodgson, JR Weeks. Symmetries, isometries and length spectra of closed hyperbolic three-manifolds. Experimental Mathematics, 3, 261-274, 1994. doi: 10.1080/10586458.1994.10504296.

  • C. Hodgson, J Tysk. Eigenvalue estimates and isoperimetric inequalities for cone-manifolds. Bulletin of the Australian Mathematical Society, 47, 127-143, 1993. doi: 10.1017/S0004972700012326.

  • C. Hodgson, I Rivin. A characterization of compact convex polyhedra in hyperbolic 3-space. Inventiones Mathematicae, 111, 77-111, 1993. doi: 10.1007/BF01231281.

  • C. Hodgson, I Rivin, WD Smith. A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere. Bulletin of the American Mathematical Society, 27, 246-251, 1992. doi: 10.1090/S0273-0979-1992-00303-8.