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 starting from some time in the near future (order and titles of future papers not guaranteed). Published versions may differ from the versions available from here and from the arXiv.

Coming soon:

  1. (with Daniel Groves) "Bounded relative cohomology and relatively hyperbolic groups."

  2. (with Koji Fujiwara) "CAT(0) and CAT(-1) fillings of hyperbolic manifolds."

Preprints (see also the arXiv):

  1. (with Ian Agol and Daniel Groves) "Residual finiteness, QCERF, and fillings of hyperbolic groups."

    (pdf, arXiv), 21 February 2008 version.

Published:

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

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

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

  4. (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)

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

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

  7. (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)

  8. (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)

Jason Manning's home.

Last Modified 22 September 2008