Math Department Faculty
Robert Meyerhoff
Professor, Mathematics
Robert Meyerhoff
Ph.D.
Contact
Maloney Hall 569
Telephone: 617-552-3759
Email: robert.meyerhoff@bc.edu
Education
- A.B. Brown University
- Ph.D. Princeton University
Department
Selected publications and preprints
- "The Chern-Simons Invariant for Hyperbolic 3-Manifolds.'' Princeton University Ph.D. Thesis, 1981.
- A Lower Bound for the Volume of Hyperbolic 3-Manifolds, Canadian J. Math. 39 (1987), 1038-1056.
- A Lower Bound for the Volume of Hyperbolic 3-Orbifolds, Duke Math. J. 57 (1988), 185-203.
- The Cusped Hyperbolic 3-Orbifold of Minimum Volume, Bull. Amer. Math. Soc. 13 (1985), 154-156.
- Sphere-Packing and Volume in Hyperbolic 3-Space, Comment. Math. Helvetici 61 (1986), 271-278.
- 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.
- 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.
- (with D. Ruberman) Mutations and the eta-Invariant, J. Diff. Geometry. 31 (1990), 101-130.
- (with D. Ruberman) Cutting and Pasting and the eta-Invariant, Duke Math. J. 61 (1990), 747-761.
- (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.
- Geometric Invariants for 3-Manifolds, The Mathematical Intelligencer 14 (1992), 37-52.
- Hyperbolinen Geometria Topologian Ty"okaluna, in Symbolien Mets"ass"a, Matemaattisia Esseit"a, edited by Osmo Pekonen, Art House Osakeyhti"o, Helsinki, 1992.
- (with W. Neumann) An Asymptotic Formula for the eta-Invariant, Comment. Math. Helvetici 67 (1992), 28-46.
- (with W. Dunbar) Structure Theory for Volumes of Hyperbolic 3-Orbifolds, Indiana Math. J. 43 (1994), 611-637.
- The Ortho-Length Spectrum for Hyperbolic 3-Manifolds, Quart. J. Math. Oxford (2) 47 (1996), 349-359.
- (with M. Ouyang) The eta-Invariant of a Cusped Hyperbolic 3-Manifold, Canadian Math. Bull. 40 (1997), 204-213.
- (with D. Gabai and N. Thurston) Homotopy Hyperbolic 3-Manifolds Are Hyperbolic, Annals of Math. 157 (2003), 335-431.
- (with C. Cao) The Orientable Cusped Hyperbolic 3-Manifolds of Minimum Volume. Inventiones math. 146 (2001), 451-478.
- (with D. Gabai and P. Milley) Volumes of Tubes in Hyperbolic 3-Manifolds, J. Differential Geometry 57 (2001) 23-46.
- Hyperbolic 3-Manifolds and Their Computational Aspect, in Foundations of Computational Mathematics, Santander 2005, edited by L. Pardo, A. Pinkus, E. Suli, M. Todd, Cambridge Univ. Press, 2006, pp. 255-273.
- (with D. Gabai and P. Milley) Mom Technology and Volumes of Hyperbolic 3-Manifolds, Comment. Math. Helvetici. 86 (2011) 145-188.
- (with D. Gabai and P. Milley) Minimum Volume Cusped Hyperbolic 3-Manifolds, J. Amer. Math. Soc. 22 (2009) 1157-1215.
- (with M. Lackenby) Exceptional Boundary Slopes, Inventiones math. 191 (2013) 341-382.
- (with D. Gabai and P. Milley) Mom Technology and Hyperbolic 3-Manifolds, in In the Tradition of Ahlfors--Bers, edited by M. Bonk, J. Gilman, H. Masur, Y. Minsky, M. Wolf, Contemporary Mathematics, vol. 510, Amer. Math. Soc., Providence, RI, 2010, pp. 81-107.
- Hyperbolic 3-Manifolds/Low-Volume Hyperbolic 3-Manifolds, in McGraw-Hill Yearbook of Science and Technology 2010, McGraw-Hill, pp. 189-192.