Daniel Groves
Research Papers
(see also the ArXiv , which has most of my more recent papers)

Published Papers

  • A note on nonidentical Lie relators, Journal of Algebra, 211 (1999), 15--25. Abstract.

  • Some properties of free groups of some soluble varieties of groups, J. London Math. Soc. (2) 63 (2001), 592-606. Abstract.

  • Free groups of outer commutator varieties of groups, J. London Math. Soc. (2) 64 (2001), 423-435. Abstract.

  • The Wielandt subalgebra of a Lie algebra (with D. Barnes), J. Aust. Math. Soc. 74 (2003), 313-330. Abstract.

  • Finite groups of bounded exponent (with M.R. Vaughan-Lee), Bull. London Math. Soc. 35 (2003) 37-40. Abstract.

  • Limits of (certain) CAT(0) groups, I: Compactification, Algebraic and Geometric Topology, 5 (2005), 1325--1364. Abstract. Published here.

  • Limit groups for relatively hyperbolic groups, II: Makanin-Razborov diagrams, Geometry & Topology, 9 (2005), 2319--2358. Abstract. Published here.

  • Fillings, finite generation and direct limits of relatively hyperbolic groups (with J. F. Manning ), Groups, Geometry, and Dynamics, 1 (2007), 329--342. Abstract.


    Preprints

  • The quadratic isoperimetric inequality for mapping tori of free group automorphisms I: Positive automorphisms (with M.R. Bridson). Preprint (2003). Abstract . .pdf (666k)

  • Limits of (certain) CAT(0) groups, II: The Hopf property and the shortening argument. Preprint (2004). Abstract . .pdf (336k)

  • Limit groups for relatively hyperbolic groups, I: The basic tools. Preprint (2004). Abstract . .pdf (296k)

  • Free-group automorphisms, train tracks and the beaded decomposition (with M.R. Bridson). Preprint (2005). Abstract . .pdf (323k)

  • Dehn filling in relatively hyperbolic groups (with J.F. Manning). Preprint (2005). Abstract . .pdf (873k). Israel Journal of Mathematics, to appear.

  • The isomorphism problem for toral relatively hyperbolic groups (with F. Dahmani). Preprint (2005). Abstract . .pdf (1.6mb)

  • The quadratic isoperimetric inequality for mapping tori of free group automorphisms II: The general case (with M.R. Bridson). Preprint (2006). Abstract . .pdf (485k)

  • Detecting free splittings in relatively hyperbolic groups (with F. Dahmani ). Preprint (2006). Abstract . .pdf (201k). Tranactions of the AMS, to appear.

  • Enumerating limit groups (with H. Wilton ). Preprint (2007). Abstract . .pdf (264k)


    Job-related stuff:

    Research Statement .pdf
    CV .pdf
    Some of the research above is based upon work supported by the National Science Foundation under Grant No. 0504251.

    Any opinions, findings, and conlclusions or recommendations expresesd in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.