Topology and geometry of 3-dimensional manifolds, including knot theory.
PhD, University of British Columbia
Topology and geometry of 3-dimensional manifolds, including knot theory.
with Thang Le, Character varieties, A-polynomials, and the AJ-conjecture, preprint, arXiv:1509.03277.
with Yi Ni, Detection of knots and a cabling formula for A-polynomials, preprint, arXiv:1411.0353.
with Yi Ni, Dehn surgery on knots in S^3 producing Nil Seifert fibred spaces, preprint, arXiv: 1407.0648.
with Dennis Ruppe, The AJ-conjecture and cabled knots over torus knots, J. Knot Theory and its Ramifications 24 (2015) 24 pages.
with Yi Ni, Characterizing slopes for torus knots, Algebraic & Geometric Topology, 14 (2014) 1249-1274.
with Steven Boyer and Cameron Gordon, Dehn fillings of knot manifolds containing essential once-punctured tori, Trans. Amer. Math. Soc., 366 (2014) 341-393.
with Steven Boyer and Cameron Gordon, Characteristic submanifold theory and toroidal Dehn filling, Advances in Mathematics, 230 (2012) 1673-1737.
with Steven Boyer and Cameron Gordon, Reducible and finite Dehn fillings, J. Lond. Math. Soc. 79 (2009) 72--84.
with Ian Agol and Steven Boyer, Virtually fibred Montesinos links, Journal of Topology 1 (2008) 993--1018.
with Joseph Masters, Closed quasi-Fuchsian surfaces in hyperbolic knot complements, Geometry & Topology 12 (2008) 2095-2171.