Robert Meyerhoff

Department of Mathematics
Boston College
Chestnut Hill, MA 02467-3806
(617) 552-3759
robert.meyerhoff@bc.edu

Position:
Professor of Mathematics

Education:
A.B.      Brown University       1976.
Ph.D.     Princeton University  1981.

Publications:

``The Chern-Simons Invariant for Hyperbolic 3-Manifolds.'' Princeton University Ph.D. Thesis, 1981.

[1]  A Lower Bound for the Volume of Hyperbolic 3-Manifolds,
Canadian J. Math. 39 (1987), 1038-1056.

[2]  A Lower Bound for the Volume of Hyperbolic 3-Orbifolds,
Duke Math. J. 57 (1988), 185-203.

[3]  The Cusped Hyperbolic 3-Orbifold of Minimum Volume,
Bull. Amer. Math. Soc. 13 (1985), 154-156.

[4]  Sphere-Packing and Volume in Hyperbolic 3-Space,
Comment. Math. Helvetici 61 (1986), 271-278.

[5]  Hyperbolic 3-Manifolds with Equal Volumes but Different Chern-Simons Invariants, in Low-dimensional Topology and Kleinian Groups, edited by D.B.A. Epstein, Cambridge Univ. Press, 1986.

[6]  Density of the Chern-Simons Invariant for Hyperbolic 3-Manifolds,
in Low-dimensional Topology and Kleinian Groups, edited by D.B.A. Epstein, Cambridge Univ. Press, 1986.

[7]  (with D. Ruberman) Mutations and the eta-Invariant,
J. Diff. Geometry. 31 (1990), 101-130.

[8]  (with D. Ruberman) Cutting and Pasting and the eta-Invariant,
Duke Math. J. 61 (1990), 747-761.

[9]  (with C. Hodgson and J.Weeks) Surgeries on the Whitehead Link Yield Geometrically Similar 3-Manifolds, in TOPOLOGY '90: Proceedings of the Research Semester in Low-Dimensional Topology at Ohio State University, edited by B. Apanasov, W. Neumann, A. Reid, and L. Siebenmann, Walter de Gruyter, 1992.

[10] Geometric Invariants for 3-Manifolds,
The Mathematical Intelligencer 14 (1992), 37-52.

[11] Hyperbolinen Geometria Topologian Ty"okaluna,
in Symbolien Mets"ass"a, Matemaattisia Esseit"a, edited by Osmo Pekonen,
Art House Osakeyhti"o, Helsinki, 1992.

[12] (with W. Neumann) An Asymptotic Formula for the eta-Invariant,
Comment. Math. Helvetici 67 (1992), 28-46.

[13] (with W. Dunbar) Structure Theory for Volumes of Hyperbolic 3-Orbifolds,
Indiana Math. J. 43 (1994), 611-637.

[14] The Ortho-Length Spectrum for Hyperbolic 3-Manifolds,
Quart. J. Math. Oxford (2) 47 (1996), 349-359.

[15] (with M. Ouyang) The eta-Invariant of a Cusped Hyperbolic 3-Manifold,
Canadian Math. Bull. 40 (1997), 204-213.

[16] (with D. Gabai and N. Thurston) Homotopy Hyperbolic 3-Manifolds Are Hyperbolic,
Annals of Math. 157 (2003), 335-431. 

[17] (with C. Cao) The Orientable Cusped Hyperbolic 3-Manifolds of Minimum Volume.
Inventiones math. 146 (2001), 451-478.

[18] (with D. Gabai and P. Milley) Volumes of Tubes in Hyperbolic 3-Manifolds,
J. Differential Geometry 57 (2001) 23-46.