(Mathematics) (Computer Science) (Expository) (Software) (Thesis)
If you have any trouble with the links below please inform me via email.

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Mathematics:

• Hyperbolic spaces in Teichmüller spaces

  (arXiv) (Copyright) with Christopher Leininger

  2011 preprint.

• Cusp geometry of fibered 3-manifolds

  (arXiv) (Copyright) with David Futer.

  2011 preprint.

• The geometry of the disk complex

  (PDF) (Out-of-date version at the arXiv) (Copyright) with Howard Masur.

  2010 preprint.

• On train track splitting sequences

  (arXiv) (Copyright) with Howard Masur and Lee Mosher.

  2010 preprint, to appear in Duke Mathematical Journal.

• Automorphisms of the disk complex

  (PDF) (Out-of-date version at the arXiv) (Copyright) with Mustafa Korkmaz.

  2009 preprint, to appear in Journal of Topology.

• Dehn twists have roots

  (arXiv) (Copyright) with Dan Margalit.

  Geometry and Topology, 13 (2009), no. 3, 1495-1497.

• Universal Cannon-Thurston maps and the boundary of the curve complex

  (arXiv) with Christopher Leininger and Mahan Mj.

  Commentarii Mathematici Helvetici, 86 (2011), no. 4, 769-816.

• Canonical triangulations of Dehn fillings

  (arXiv) (Copyright) with Francois Gueritaud.

  Geometry and Topology, 14 (2010), 193-242.

• Connectivity of the space of ending laminations

  (arXiv) with Christopher Leininger.

  Duke Mathematical Journal, 150 (2009), no. 3, 533-575.

• Curve complexes are rigid

  (PDF) (Out-of-date version at the arXiv) (Copyright) with Kasra Rafi.

  Duke Mathematical Journal, 158 (2011), no. 2, 225-246.

• Geodesic ideal triangulations exist virtually

  (arXiv) (Copyright) with Feng Luo and Stephan Tillmann.

  Proceedings of the American Mathematical Society, 136 (2008), no. 7, 2625-2630.

• Covers and the curve complex

  (PDF) (Out-of-date version at the arXiv) (Copyright) with Kasra Rafi.

  Geometry and Topology, 13 (2009) no. 4, 2141-2162.

• Trees and mapping class groups

  (arXiv) (Copyright) with Richard Kent IV and Christopher Leininger.

  Journal fur die reine und angewandte Mathematik, 637 (2009), 1-21.

• The end of the curve complex

  (PDF) (Out-of-date version at the arXiv) (Copyright)

  Groups, Geometry, and Dynamics, 5 (2011) no. 1, 169-176.

• High distance knots

  (arXiv) (Copyright) with Yair Minsky and Yoav Moriah.

  Algebraic and Geometric Topology, 7 (2007), 1471-1483.

• Polynomial-time word problems

  (PDF) (Out-of-date version at the arXiv) (Copyright)

  Commentarii Mathematici Helvetici, 83 (2008), no. 4, 741-765.

• Sweepouts of amalgamated 3-manifolds

  (arXiv) (Copyright) with David Bachman and Eric Sedgwick.

  Algebraic and Geometric Topology, 6 (2006), 171-194.

• Heegaard splittings of the form H + nK

  (PDF) (Out-of-date version at the arXiv) (Copyright) with Yoav Moriah and Eric Sedgwick.

  Communications in Analysis and Geometry, 14 (2006), no. 2, 215--247.

• Sphere recognition lies in NP

  (PDF) (Out-of-date version at the arXiv) (Abstract) (Comments) (Copyright)

  2004 preprint, to appear in Low-Dimensional and Symplectic Topology, 82 (2011).

• The pants complex has only one end

  (PDF) (Out-of-date version at the arXiv) (Copyright) with Howard Masur.

  Proceedings of Newton Institute conference Spaces of Kleinian groups, 209-218, London Mathematical Society Lecture Note Series, 329.

• Distance and bridge position

  (arXiv) (Copyright) with David Bachman.

  Pacific Journal of Mathematics, 219 (2005), no. 2, 221-235.

• Distances of Heegaard splittings

  (arXiv) (Copyright) with Aaron Abrams.

  Geometry and Topology, 9 (2005) 95-119.

• Surface bundles versus Heegaard splittings

  (PDF) (Out-of-date version at the arXiv) (Copyright) with David Bachman.

  Communications in Analysis and Geometry, 13 (2005), no. 5, 903-928.

• The disjoint curve property

  (arXiv) (Abstract) (Comments) (Copyright)

  Geometry and Topology, 8 (2004) 77-113.

• Thin position for tangles

  (arXiv) (Abstract) (Copyright) with David Bachman.

  Journal of Knot Theory and its Ramifications, 12 (2003), no. 1, 117-122.

• Strongly irreducible surface automorphisms

  (arXiv) (Copyright)

  Topology and geometry of manifolds, 71 (2003) 287-296.

• On the girth of groups

  (PDF) (Copyright)

  2000 preprint.

• Computing triangulations of mapping tori of surface homeomorphisms

  (arXiv) (Abstract) (Errata) (Copyright) with Peter Brinkmann.

  Experimental Mathematics, 10 (2001), no. 4, 571-581.

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Computer Science:

• Winnowing: Local algorithms for document fingerprinting

  (PDF) (PS) (Abstract) (Patent) (Errata) (Copyright) with Alex Aiken and Daniel Wilkerson.

  ACM Special Interest Group on Management of Data, 2003.

• System area network mapping

  (PDF) (PS) (Copyright) with Brent Chun, Alan Mainwaring, and Daniel Wilkerson.

  ACM Symposium on Parallel Algorithms and Architectures, 1997.

• Nearly tight bounds for wormhole routing

  (PS) (Copyright) with Abhiram Ranade and Daniel Wilkerson.

  IEEE Symposium on Foundations of Computer Science, 1994.

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Expository:

• Sculptures in $S^3$

  (PDF) with Henry Segerman

  2012 preprint.

• Waldhausen's theorem

  (PDF) (Copyright).

  Geometry & Topology Monographs, 12 (2007) 299-317.

• Notes on the complex of curves

  (PDF) (Web site) (Copyright)

  Caltech, minicourse Jan. 2005 (revised 11/23/2006).

• Recognizing Haken manifolds

  (Osaka) (Copyright)

  Japan, lecture series Jan. 2004.

• Conjectures on the structure of Heegaard splittings

  (Nara) (Copyright)

  Japan, lecture series Jan. 2004.

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Software:

• Twister

  (Abstract) with Tracy Hall.

  Builds triangulated three-manifolds based on Dehn twist or Heegaard data.

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Thesis:

• Almost normal Heegaard splittings

  (PDF) (PS) (Abstract) (Errata) (Copyright)

  2001 Ph.D. thesis.

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Last update: Tue Nov 1 06:26:57 EDT 2011

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Homepage: To maintainer's homepage.

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Rutgers: Up to the math department webpage.