pre-prints (linked to the arXiv)

in press (linked to the arXiv)

refereed publications in journals or conference proceedings

  1. (with Ben Klaff) A birationality result for character varieties (arXiv, publisher), Mathematical Research Letters 23 (2016), no.4, 1099-1110.
  2. (with Bus Jaco, Jesse Johnson and Jonathan Spreer), Bounds for the genus of a normal surface (arXiv, publisher), Geometry & Topology 20 (2016) 1625–1671.
  3. (with Sampson Wong) An algorithm for the Euclidean cell decomposition of a cusped strictly convex projective surface (arXiv, publisher), Journal of Computational Geometry 7 (2016), no.1, 237–255.
  4. (with Ben Burton, Murray Elder and Arkadius Kalka) 2-manifold recognition is in logspace (arXiv, publisher), Journal of Computational Geometry 7 (2016), no.1, 70-85.
  5. (with Craig Hodgson, Hyam Rubinstein and Henry Segerman) Triangulations of 3-manifolds with essential edges (arXiv, publisher), Annales de la Faculté des Sciences de Toulouse 24 (2015), no.5, 1103-1145 (special issue dedicated to Michel Boileau).
  6. (with Daryl Cooper) Complexity functions on 1-dimensional cohomology (arXiv, publisher), Revue Roumaine de Mathématiques Pures et Appliquées 60 (2015), no. 4, 535-550 (Proceedings of JARCS 2013).
  7. (with Hyam Rubinstein) Even triangulations of n-dimensional pseudo-manifolds (arXiv, publisher), Algebraic and Geometric Topology 15 (2015), no. 5, 2949–2984.
  8. (with Daryl Cooper and Darren Long) On Convex Projective Manifolds and Cusps (arXiv), Advances in Mathematics 277 (2015), 181-251.
  9. (with Ben Burton and Alexander Coward) Computing closed essential surfaces in knot complements (arXiv, publisher), SoCG '13: Proceedings of the Twenty-Ninth Annual Symposium on Computational Geometry, ACM, 2013, 405-414.
  10. (with Bus Jaco and Hyam Rubinstein) Z2-Thurston Norm and Complexity of 3-Manifolds (arXiv), Mathematische Annalen 356 (2013) no. 1, 1-22.
  11. (with Feng Luo and Tian Yang) Thurston's Spinning Construction and Solutions to the Hyperbolic Gluing Equations for Closed Hyperbolic 3-Manifolds (arXiv), Proceedings of the American Mathematical Society 141 (2013), no. 1, 335-350.
  12. Degenerations of ideal hyperbolic triangulations (arXiv), Mathematische Zeitschrift 272 (2012), no. 3-4, 793-823.
  13. (with Ben Burton and Hyam Rubinstein) The Weber-Seifert dodecahedral space is non-Haken (arXiv, publisher), Transactions of the American Mathematical Society 364 (2012), no. 2, 911-932.
  14. (with Craig Hodgson, Hyam Rubinstein and Henry Segerman) Veering triangulations admit strict angle structures (arXiv), Geometry & Topology 15 (2011) 2073-2089.
  15. (with Henry Segerman) Pseudo-developing maps for ideal triangulations I: Essential edges and generalised hyperbolic gluing equations (arXiv), in Topology and geometry in dimension three, 85-102, Contemp. Math., 560, Amer. Math. Soc., Providence, RI, 2011.
  16. (with Bus Jaco and Hyam Rubinstein) Coverings and Minimal Triangulations of 3-Manifolds (arXiv), Algebraic and Geometric Topology 11 (2011) 1257-1265.
  17. (with Bus Jaco and Hyam Rubinstein) Minimal triangulations for an infinite family of lens spaces (arXiv), Journal of Topology 2 (2009), no. 1, 157-180.
  18. (with Daryl Cooper) Thurston norm via normal surfaces (arXiv), Pacific Journal of Mathematics 239 (2009) 1-15.
  19. Normal surfaces in topologically finite 3-manifolds (arXiv), L'Enseignement Mathématique, 54 (2008) 329-380.
  20. (with Feng Luo and Saul Schleimer) Geodesic ideal triangulations exist virtually (arXiv), Proceedings of the American Mathematical Society 136 (2008) 2625-2630.
  21. (with Feng Luo) Angle structures and normal surfaces (arXiv), Transactions of the American Mathematical Society 360 (2008) 2849-2866.
  22. (with Eric Chesebro) Not all boundary slopes are strongly detected by the character variety (arXiv), Communications in Analysis and Geometry 15 (2007) 695-723.
  23. Boundary slopes and the logarithmic limit set (arXiv) the paper (minus the example) appeared in Topology 44 (2005) 203-216.
  24. Character varieties of mutative 3-manifolds (arXiv), Algebraic and Geometric Topology 4 (2004) 133-149.
  25. On the Kinoshita-Terasaka knot and generalised Conway mutation (223 KB), Journal of Knot Theory and its Ramifications 9 (2000) 557 - 575.

non-refereed contributions to conference proceedings

survey or expository papers


conference reports

course notes


reviews (linked to MathSciNet; subscription only)