(Mathematics)
(Computer Science)
(Expository)
(Software)
(Thesis)
If you have any trouble with the links below please inform me
via email.
Mathematics:
- On train track splitting sequences
-
(PDF)
(Copyright)
with Howard Masur
and
Lee Mosher.
-
2010 preprint.
- Automorphisms of the disk complex
-
(arXiv)
(Copyright)
with Mustafa Korkmaz.
-
2009 preprint.
- 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.
-
2008 preprint.
- 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(Out-of-date version at the arXiv)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.
-
2007 preprint, to appear in
Duke Mathematical Journal.
- 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(Out-of-date version at the arXiv)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.
-
2006 preprint, to appear in
Journal fur die reine und angewandte Mathematik.
- The end of the curve complex
-
(arXiv)
(Copyright)
-
2006 preprint, to appear in Groups, Geometry, and Dynamics.
- 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(Out-of-date version at the arXiv)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(Out-of-date version at the arXiv)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(Out-of-date version at the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.
- 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.
Computer Science:
Expository:
Software:
- Twister
-
(Abstract)
with Tracy Hall.
-
Builds triangulated three-manifolds based on Dehn twist or Heegaard data.
Thesis:
Last update: Nov. 2006.
Homepage: To maintainer's homepage.
Rutgers: Up to the math
department webpage.