Papers in Knot, Group and Number Theory

 


  1. 1.Mahler measure under variations of the base group
    (with Matilde Lalin), Forum Mathematicum, 21 (4), July 2009, pp. 621-637

  2. 2.The Jones polynomial and graphs on surfaces
    (with David Futer, Effie Kalfagianni, Xiao-Song Lin and Neal Stoltzfus) ,
    Journal of Combinatorial Theory, B, 98(2), March 2008, pp. 384-399

  3. 3.A Natural Series for the Natural Logarithm,
    The Electronic J. of Comb., Volume 15 (1), March 2008, Note 5, pp. 7

  4. 4.A volume-ish theorem for the Jones polynomial of alternating knots (with Xiao-Song Lin)
    Pacific Journal of Mathematics, Vol. 231 (2) 2007, 279-291

  5. 5.On the Head and the Tail of the Colored Jones Polynomial
    (with Xiao-Song Lin) Compositio Math., Vol 142 (2006), No. 5, pp 1332-1342


  1. 6.Property P for Knots admitting Certain Gabai Disks. (with Tao Li)
    Topology Appl., Vol 142 (2004), No. 1-3, pp 113-129

  2. 7.The Automorphism Group of a Free Group is not Subgroup Separable (with Brian Mangum )
    Knots, Braids, and Mapping Class Groups-Papers Dedicated to Joan S. Birman,
    AMS/IP Studies in Advanced Mathematics, Volume 24, 2002


  1. 8.The Bennequin number of n-trivial closed n-braids is negative (with Xiao-Song Lin),
    Math. Research Letters,
    Vol. 8 (2001), No. 5-6, pp. 629-636

  2. 9.On McMullen's and other inequalities for the Thurston norm of link complements (with Brian Mangum),
    Algebraic and Geometric Topology, Vol. 1 (2001), pp. 321-347

  3. 10.Quantum Morphing and the Jones Polynomial (with Thang D. Le and Xiao-Song Lin),
    Commun. Math. Phys., 224 (2001) 2, 427-442

  4. 11.On the Combinatorial Structure of Primitive Vassiliev Invariants III - A Lower Bound,
    Communications in Contemporary Mathematics, Vol. 2, No. 4, 2000, pp. 579-590


  1. 12.A Note on Doubles of Groups (with Nadia Benakli, Yair Glasner and Brian Mangum)
    Journal Pure and Applied Algebra, 156 (2-3) (2001) pp. 147-151

  2. 13.A Faithful Representation of the Singular Braid Monoid on Three Strands (with Bernd Gemein),
    KNOTS IN HELLAS '98 - Proc. Intern. Conf. on Knot Theory and Ramif.,
    Series on Knots and Everything, Vol. 24, pp. 48-58, World Scientific, 2000

  3. 14.On the Combinatorial Structure of Primitive Vassiliev Invariants II,
    Journal Combinatorial Theory, Ser. A, Vol. 81, No. 2, 1998, pp. 127 - 139

  4. 15.Does the Jones Polynomial Detect Unknottedness?
    (with Stefan Hougardy),
    Experimental Mathematics, Vol. 6, No. 1, 1997, pp. 51 - 56

  5. 16.A Conjecture of Kauffman on Amphicheiral Alternating Knots (with Stefan Hougardy),
    Journal of Knot Theory Ramif. Vol. 5, No. 5, 1996, pp. 629-635

  6. 17.On Subspaces of the Space of Vassiliev invariants,
    Shaker Verlag, Aachen, 1997