Papers in Knot, Group and Number Theory
Papers in Knot, Group and Number Theory
1.Mahler measure under variations of the base group
(with Matilde Lalin), Forum Mathematicum, 21 (4), July 2009, pp. 621-637
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.A Natural Series for the Natural Logarithm,
The Electronic J. of Comb., Volume 15 (1), March 2008, Note 5, pp. 7
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.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
6.Property P for Knots admitting Certain Gabai Disks. (with Tao Li)
Topology Appl., Vol 142 (2004), No. 1-3, pp 113-129
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
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
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
10.Quantum Morphing and the Jones Polynomial (with Thang D. Le and Xiao-Song Lin),
Commun. Math. Phys., 224 (2001) 2, 427-442
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
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
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
14.On the Combinatorial Structure of Primitive Vassiliev Invariants II,
Journal Combinatorial Theory, Ser. A, Vol. 81, No. 2, 1998, pp. 127 - 139
15.Does the Jones Polynomial Detect Unknottedness?
(with Stefan Hougardy),
Experimental Mathematics, Vol. 6, No. 1, 1997, pp. 51 - 56
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
17.On Subspaces of the Space of Vassiliev invariants,
Shaker Verlag, Aachen, 1997