Research

My recent work is in geometric group theory, especially group actions on Gromov hyperbolic spaces. I am also interested in three-manifolds and geometric topology in general.

Here are some of my papers in (roughly) reverse chronological order. Published versions may differ from the versions available from here and from the arXiv. If the versions in the parenthetical links differ, they are listed in decreasing order of definitiveness.

Preprints (see also the front or the arXiv):

  1. "Virtually geometric words and Whitehead's algorithm." (pdf, arXiv), 17 April 2009 version.

  2. (with Koji Fujiwara) "CAT(0) and CAT(-1) fillings of hyperbolic manifolds." (pdf, arXiv), 30 Dec 2008 version.

  3. (with Eduardo Martínez-Pedroza) "Separation of relatively quasiconvex subgroups." (pdf, arXiv), 24 November 2008 version.

Published:

  1. (with Ian Agol and Daniel Groves) "Residual finiteness, QCERF, and fillings of hyperbolic groups." Geometry & Topology 13 (2009) 1043-1073. (journal, pdf, arXiv)

  2. (with Daniel Groves) "Dehn filling in relatively hyperbolic groups." Israel Journal of Mathematics 168 (2008) 317--429. (journal, pdf, arXiv)

  3. "Actions of certain arithmetic groups on Gromov hyperbolic spaces." Algebraic & Geometric Topology 8 (2008) 1371-1402. (journal, pdf, arXiv)

  4. (with Daniel Groves) "Fillings, finite generation and direct limits of relatively hyperbolic groups." Groups, Geometry, and Dynamics 1 (2007) 329-342. (journal, pdf, arXiv)

  5. (with an appendix by Nicolas Monod and Bertrand Rémy) "Quasi-actions on trees and Property (QFA)."Journal of the London Mathematical Society 73 (2006) 84-108. (journal, pdf, arXiv)

  6. "Geometry of pseudocharacters." Geometry & Topology 9 (2005) 1147--1185. (journal,arXiv)

  7. "Algorithmic detection and description of hyperbolic structures on 3-manifolds with solvable word problem." Geometry & Topology 6 (2002) 1--26. (journal, arXiv)

  8. (E. Smith, P. S. Wilson, F. W. Bacon, J.F. Manning, J.A. Behrens, T.G. Muir) "Measurement and localization of interface wave reflections from a buried target."Journal of the Acoustical Society of America, 103, (1998) 2333-2343. (journal)

  9. (J. A. TenCate, T. G. Muir, A. Caiti, Å. Kristensen, J.F. Manning, J. A. Shooter, R.A. Koch, and E. Michelizzi) "Beamforming on seismic interface waves with an array of geophones on the shallow seafloor." IEEE J. of Oceanic Engr., 20, (1995) 300-310. (journal)

Much of the mathematical work listed here was supported by the National Science Foundation, under grants DMS-0301954 and DMS-0804369.
Jason Manning's home.

Last Modified 3 June 2009