*Publications:*

**1.** *On the root classes of a mapping*, Acta Math. Sinica
(N.S.) **2**(1986), no. 3, pp. 199-206.

**2.** *On the (A,B)-slice problem*, with Michael Freedman,
Topology **28**(1989), no. 1, pp. 91-110.

**3.** *The classification of links up to link-homotopy*, with
Nathan Habegger, Jour. of Amer. Math. Soc. **3**(1990), no. 2, pp. 389-419.

Article in PDF format

**4.** *Null k-cobordant links in
*, Comm. Math. Helv. **66**(1991), no 3, pp. 333-339.

**5.** *A knot invariant via representation spaces*, Jour. of
Diff. Geom. **35**(1992), no. 2, pp. 337-357.

**6.** *Knot polynomials and Vassiliev's invariants*, with Joan
Birman, Invent. Math. **111**(1993), no. 3, pp. 225-270.

**7.** *Finite type link invariants of 3-manifolds*, Topology
**33**(1994), no. 1, pp. 45-71.

**8.** *Power series expansions and invariants of links*, The
Proceedings of 1993 Georgia International Topology Conference, Geometric
Topology (ed. William Kazez), AMS/IP Studies in Adv. Math., Vol. 2, 1997,
pp. 184-202.

Article in PDF format

Figures in PDF format (which is missing in the printed copy)

**9.** *Integral geometry of plane curves and knot invariants*,
with Zhenghan Wang, Jour. of Diff. Geom. **44**(1996), no. 1, pp. 74-95.

Article in PDF format

**10.** *Finite type invariants of integral homology 3-spheres:
A survey*, The Proceedings of 1995 Warsaw Workshop in Knot Theory,
Banach Center Publications, vol. 42, 1998, pp 205-220.

q-alg/9510003

**11.** *Knot energies and knot invariants*, Chaos, Solitons
and Fractals **9**(1998), no. 4/5, pp. 645-655 .

Article in PDF format

**12.** *Vassiliev knot invariants induced from finite type 3-manifold
invariants*, with Matt Greenwood, Trans. of Amer. Math. Soc.
**351**(1999), no 9, pp. 3659--3672.

Article in PDF format

**13.** *Finite type link invariants and the invertibility of links*,
Math. Res. Letters **3**(1996), no. 3, pp. 405-417.

Article in PDF format

**14.** *Burau representation and random walks on string links*,
with Feng Tian and Zhenghan Wang, Pacific Jour. of Math. **182**(1998),
no. 2, pp. 289--302.

Article in PDF format

**15.** *On link concordance and Milnor's
-invariants*, with Nathan Habegger, Bulletin of London Math. Soc. **30**(1998), pp. 419-428.

Artilcle in PDF format

**16.** *The HOMFLY polynomial for links in rational homology 3-spheres*,
with Efstratia Kalfagianni, Topology **38**(1998), no. 1,
pp. 95-115.

Article in PDF format

**17. ** *Milnor and finite type invariants of plat-closures*,
with Efstratia Kalfagianni, Math. Res. Letters **5**(1998), pp. 293-304.

Article in PDF format

**18.** *On Ohtsuki's invariants of integral homology 3-spheres*,
with Zhenghan Wang, Acta Math. Sinica (Series B) **15**(1999), no. 3,
pp. 293--316.

math.GT/9509149

**19.** * Random walk on knot diagrams, colored Jones polynomial
and Ihara-Selberg zeta function*,
with Zhenghan Wang, Proceedings of the Birmanfest, AMS/IP Studies in
Advanced Mathematics, vol. 24, 2001, pp. 107--121.

math.GT/9812039

**20.** * Fermat limit and congruence of Ohtsuki invariants*,
with Zhenghan Wang, Proceedings of the Kirbyfest, Geometry and Topology
Monographs, vol. 2, 1999, pp. 321--333.

Article in PDF format

**21.*** Melvin-Morton conjecture: a survey, *Proceedings of
ICCM 98, AMS/IP Studies in Advanced Mathematics, vol. 20, 2001, pp.
315--323.

Article in PDF format

**22. ***
Subspaces of knot spaces*, with Craig Benham and David Miller,
Proc. of Amer. Math. Soc. **129** (2001), no. 10, pp. 3121--3127.

Article in PDF format

**23. ***
Achirality of knots and links*,
with Boju Jiang, Shicheng Wang, and Ying-Qing Wu, Topology and Its
Applications **119**(2002), no. 2, pp. 185-208.

Article in PDF format

**24.** *Off-center reflection: caustics and chaos*,
with Thomas Kwok-Keung Au, Experimental Mathematics **10**(2001), no.
2, pp. 287--301.

math.DS/9806094

**25.** *Representations of knot groups and twisted Alexander
polynomials
*, Acta Math. Sinica (Series B) **17**(2001), no. 3, pp. 361--380.

Article in PDF format

**26.** *Quantum morphing and the Jones polynomial*, with
Oliver Dasbach and Thang D. Le, Communications in Mathematical Physics
**224**(2001), no. 2, pp. 427--442.

Article in PDF format

**27.** *The Bennequin number of n-trivial closed n-braids
is negative*,
with Oliver Dasbach, Mathematics Research Letters **8**(2001),
pp. 629--635.

math.GT/0010278

**28.** *Finite type link-homotopy invariants*,
l'Enseignement Mathematique **47**(2001), pp. 315--327.

math.GT/0012095

**29. ***
Vassiliev invariants and the cubical knot complex*,
with Ilya Kofman, Topology **42**(2003), no. 1, pp. 83--101.

Article in PDF
format

**30. ***
On the bridge number of knot diagrams with minimal crossings*,
with Jae-Wook Chung, Mathematical Proceedings of the Cambridge
Philosophical Society **137**(2004), no. 3, pp. 617--632.

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format

**31.** *Knot adjacency and satellites*,
with Efstratia Kalfagianni, Topology and Its Applications
**138**(2004),
no. 1-3, pp. 207--217.

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format

**32.** *Colored Coalescent Theory*,
with Jianjun Tian, Discrete and Continuous Dynamical Systems,
Supplement Volume 2005, pp. 833--845.

* Books:*

**1.**
Knots, Braids, and Mapping Class Groups--Papers Dedicated to Joan S. Birman
, edited with : Jane Gilman and William W. Menasco, AMS/IP Studies in
Advanced Mathematics, Volume 24 (2002),
American Mathematical Society and International Press.

*Recently Submitted Preprints:*

**1.*** Knot adjacency, genus and essential tori*,
with Efstratia Kalfagianni.

Article in PDF
format

*Some Unpublished Manuscripts:*

**1.** *Markov theorems for links in 3-manifolds*, 1989. Unpublished.

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Postscript file (figures in the paper no longer available electronically)

**2.** *Vertex models, quantum groups and Vassiliev's knot invariant*,
1991. Unpublished.

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**3.** *Knot invariant and iterated intergrals*, 1994. Unpublished.

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**4.** *Invariants of Legendrian knots*, 1995. Unpublished.

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**5.** *Regular Seifert surfaces and Vassiliev knot
invariants*,
with Efstratia Kalfagianni.

math.GT/9804032