Publications:

  1. Immersed essential surfaces in hyperbolic 3-manifolds.  Comm. Anal. Geom. 10 (2002), 275--290.
  2. Boundary curves of surfaces with 4-plane property.      Geometry & Topology, 6 (2002), 609--647.
  3. Laminar branched surfaces in 3-manifolds.               Geometry & Topology, 6 (2002), 153--194.
  4. Commutator groups and foliations without holonomy.    Proc. Amer. Math. Soc. 130 (2002), 2471--2477.
  5. Boundary train tracks of laminar branched surfaces    Proc. of Symposia in Pure Math., 71, AMS (2003), 269--285.
  6. An algorithm to detect laminar 3-manifolds. (with Ian Agol)  Geometry & Topology, 7 (2003), 287--309.  
  7. An algorithm to find vertical tori in small Seifert fiber spaces.         Commertarii Mathematici Helvetici, 81 (2006) 727--753.
  8. Property P for knots admitting certain Gabai disks.     (with Oliver Dasbach)  Topology and its Applications, 142, (2004) 113--129.
  9. Heegaard surfaces and measured laminations, I: the Waldhausen conjecture  Invent. Math. 167 (2007) 135--177  (arXiv:math.GT/0408198)
  10. Heegaard surfaces and measured laminations, II: non-Haken 3-manifolds    J. Amer. Math. Soc., 19 (2006) 625--657 (arXiv:math.GT/0408199)
  11. The Waldhausen conjecture (a 4-page outline of the proof of the Waldhausen conjecture) Oberwolfach Report 2005.
  12. Compression branched surfaces and tight essential laminations    (preliminary draft, better version coming soon)
  13. On the Heegaard splittings of amalgamated 3-manifolds. Preprint.
  14. Images of the disk complex. Preprint
  15. Saddle tangencies and the distance of Heegaard splittings. Preprint
  16. Constructing essential laminations in knot complements.        (with Rachel Roberts)    In preparation.
  17. Absolutely least area tori in small Seifert fiber spaces.      (with Max Neumann-Coto)      In preparation.
  18. Morse normal form for essential laminations in hyperbolic punctured-torus bundles.      (with Charles Delman)    In preparation.