57. Skein modules and character varieties of Seifert manifolds

(with R. Detcherry and A. Sikora), Preprint 2024.
PDF file , ArXiv

56. Kauffman bracket skein modules of small 3-manifolds

(with R. Detcherry and A. Sikora), Preprint 2023.
PDF file , ArXiv

55. Constructions of q-hyperbolic knots

(with J. Melby), Annales l'Institut Fourier, to appear.
PDF file , ArXiv

54. Pants complex, TQFT and hyperbolic geometry

(with R. Detcherry), American Journal of Mathematics, to appear.
PDF file , ArXiv

53. Volumes of fibered 2-fold branched covers of 3-manifolds

(with S. Hirose and E. Kin), Journal of Topology and Analysis, to appear.
PDF file , ArXiv

52. Crossing numbers of cable knots

(with R. Mcconkey, Bulletin of London Math. Society, vol. 56, No 24, 3400-3411.
PDF file , ArXiv

51. Jones diameter and crossing number of knots

(with C. Lee), Advances in Mathematics, vol. 417, Paper No. 108937(2023).
PDF file , ArXiv

50. Alternating links on surfaces and volume bounds

(with J. Purcell), Communications in Analysis and Geometry,. Vol 32, No 1, 119-151(2024).
PDF file , ArXiv

49. Cosets of monodromies and quantum representations.

(with R. Detcherry), Indiana Univ. Mathematics Journal, Vol. 71, no 3, 1101-1129 (2022).
PDF file , ArXiv

48. Growth of quantum $6j$-symbols and applications to the Volume Conjecture.

(with G. Belletti, R. Detcherry and T. Yang), Journal of Differential Geometry, 120(2), 199-229 (2022).
PDF file , ArXiv

47. Guts, volume and Skein Modules of 3-manifolds

(with B. Bavier), Fundamenta Math., 256, no 2, 195-220 (2022).
PDF file , ArXiv

46. Remarks on Jones slopes and surfaces of knots.

Acta Math Vietnamica, 46, no. 2, 289-299 (2021).
(Proceedings of ``Hyperbolic Geometry and Quantum Topology in Da Nang).
PDF file , ArXiv

45.Gromov norm and Turaev-Viro invariants of 3-manifolds.

(with R. Detcherry), Ann. Sci. de l'Ecole Normale Sup., Vol. 53, Fasc. 6, 1363-1391(2020).
PDF file , ArXiv
Computational evidence for Conjecture 8.1

44. State Surfaces of Links.

Encyclopedia of Knot Theory, Chapter 24, in press (2020).
PDF file , ArXiv

43. The Strong Slope Conjecture and torus knots.

Journal of the Math. Soc. of Japan, 72, no. 1, 73-79(2020).
PDF file , ArXiv

42. Quantum representations and monodromies of fibered links.

(with R. Detcherry), Advances in Mathematics, Volume 351, 676-701(2019).
PDF file , ArXiv

41. Turaev-Viro invariants, colored Jones polynomial and volume.

(with R. Detcherry and T. Yang), Quantum Topology, Vol. 9, Issue 4, 775-813(2018).
PDF file , ArXiv

40. Normal and Jones surfaces of knots.

(with C. Lee), J. of Knot Theory and its Ramifications, Vol 27, Issue 6 (2018).
PDF file , ArXiv

39. A survey of hyperbolic knot theory.

(with D. Futer and J. Purcell), Knots, Low-dimensional Topology and Applications,
Springer Proceedings in Mathematics & Statistics Vol. 284, 1-30(2019).
PDF file , ArXiv

38. A Jones slopes characterization of adequate knots.

Indiana Univ. Mathematics Journal, Vol. 67, No. 1, 205-219(2018).
PDF file , ArXiv

37. Geometric estimates from spanning surfaces.

(with S. D. Burton), Bulletin of London Math. Society, Vol. 49, Issue 4, 694-708(2017).
PDF file , ArXiv

36. Knots without cosmetic crossings.

(with C. Balm), Topology and Its Applications, Vol. 207, 33-42 (2016).
PDF file , ArXiv

35. Crosscap numbers and the Jones polynomial.

(with C. Lee), Advances in Mathematics, 286, 308-337(2016).
PDF file , ArXiv
Computer file The data about low crossing number knots has now been uploaded MathInfo

34. Hyperbolic semi-adequate links.

(with D. Futer and J. Purcell),
Communications in Analysis and Geometry, Vol 23, No 5, 991-1028(2015).
PDF file , ArXiv

33. Knot Cabling and the Degree of the Colored Jones Polynomial.

(With Anh Tran), New York Journal of Mathematics, Volume 21, 905-941(2015).
PDF file ArXiv

32. On the degree of the colored Jones polynomial.

(with C. Lee), Proceedings of
Hyperbolic Geometry and Quantum Topology in Nha Trang,
Acta Math Vietnamica, 39, no. 4, 549-560(2014).
PDF file , ArXiv

31. Quasifuchsian state surfaces.

(with D. Futer and J. Purcell),
Transactions of the American Math. Soc., Vol 366, Issue 8, 4323-4343 (2014).
PDF file , ArXiv

30. Jones polynomials, volume, and essential knot surfaces: A survey.

(with D. Futer and J. Purcell), Proceedings
of ``Knots in Poland IIIÓ, Banach Cent. Pub., Vol 100, 51-77 (2014).
PDF file , ArXiv (27 pages).

29. Guts of surfaces and the colored Jones polynomial.

(with D. Futer and J. Purcell), Research Monograph,
Lecture Notes in Mathematics, Vol. 2069, x\~ 170p.,Berlin, Springer (2013).
PDF file , ArXiv (179 pages).
MathSci Review,
ZbMath Review
Preface and biblio

28. Cosmetic crossings and Seifert matrices.

(with C. Balm, S. Friedl and M. Powell),
Communications in Analysis and Geometry, Vol 20, No 2,235-254 (2012).
PDF file , ArXiv

27. Cosmetic crossing changes of fibered knots.

J. Reine Angew. Math.(Crelle's Journal), Vol 2012, Issue 669, 151-164 (2012).
PDF file, ArXiv

26. An intrinsic approach to invariants of framed links in 3-manifolds.

Quantum Topology, Vol 2, Issue 1, 71-96 (2011).
PDF file, ArXiv

25. Slopes and colored Jones polynomials of adequate links.

(with D. Futer and J. Purcell), Proc. Amer. Math. Soc., 139(5),1879-1887(2011).
PDF file , ArXiv

24. Cusp areas of Farey manifolds and applications to knot theory.

(with D. Futer and J. Purcell), Int.Math. Res. Notices,
Vol. 2010, Issue 23, 4434-4497 (2010).
PDF file, ArXiv

23. In Memory of Xiao-Song Lin: Preface to article [22],

(with O. Dasbach),
J. of Knot Theory and its Ramifications, Vol 19 (6), 763-764 (2010).
PDF file

22. Alternating sum formulae for the determinant and other link invariants.

(with O. Dasbach, D. Futer, X.-S. Lin and N. Stoltzfus),
J. of Knot Theory and its Ramifications, Vol. 19 (6), 765-782 (2010).
PDF file, ArXiv

21. On diagrammatic bounds of knot volumes and spectral invariants.

(with D. Futer and J. Purcell), Geometriae Dedicata,
Vol 147, No. 1, 115-130 (2010).
PDF file, ArXiv

20. Symmetric Links and Conway sums: Volume and Jones polynomial.

(with D. Futer and J. Purcell), Mathematical Research Letters 16, no 2, 233-253 (2009).
PDF file, ArXiv

19. A note on quantum 3-manifold invariants and hyperbolic volume.

J. of Knot Theory and its Ramifications, Vol. 18 (1), 33-39( 2009).
PDF file, ArXiv

18. The Jones polynomial and graphs on surfaces.

(with O. Dasbach, D. Futer, X.-S. Lin and N. Stoltzfus),
Journal of Combinatorial Theory Ser. B , Vol. 98, Issue 2, 384-399(2008).
PDF file, ArXiv.

17. Dehn filling, volume and the Jones polynomial.

(with D. Futer and J. Purcell), Journal of Differential Geometry, Vol 78, no 3, 429-464 (2008).
PDF file, ArXiv

16. Knot adjacency and fibering.

(With Xiao-Song Lin),
Transactions of the American Math. Soc., Vol. 360, 3249-3261 (2008).
Postcript file, PDF file

15. Seifert surfaces, Commutators and Vassiliev knot invariants.

(With Xiao-Song Lin),
J. of Knot Theory and its Ramifications, Vol. 16 (10),1295-1329 ( 2007).
Special Volume in honor of L. Kauffman's 60th birthday ( Eds. J. Przytycki, S. Lampropoulou).
Postcript file, PDF file, ArXiv.

14. Knot adjacency, genus and essential tori.

(With Xiao-Song Lin),  Pacific Journal of Math., Vol. 228, No. 2, 251-276 (2006).
Postcript file, PDF file.

13. Alexander polynomial, finite type invariants and volume of hyperbolic knots.

Algebraic and Geometric Topology, Vol. 4 (48), 1111-1123(2004).
Postcript file

12. Surgery n-triviality and companion tori.

J. of Knot Theory and its Ramifications,; Vol. 13 (4),441-456 ( 2004).
Postcript file

11. Knot adjacency and satellites.

(With Xiao-Song Lin),  Topology and Its Applications,   Vol. 138 (3), 207-217 (2004).
Postcript file

10. On knot adjacency.

(With Nikos Askitas) ,Topology and Its Applications, Vol.126 (1-2), 63-81 (2002).
Postcript file

9. Power series link invariants and the Thurston norm.

Topology and Its Applications, Vol. 101 (2), 107-119 (2000).
Postcript file

8. Vassiliev invariants and orientation of pretzel knots.

J. of Knot Theory and its Ramifications, Vol 7 (2), 173-185(1998).

7. Milnor and finite type invariants of plat-closures.

(With Xiao-Song Lin) Mathematical Research Letters 5, 293-304(1998).
Postcript file

6. The HOMFLY polynomial for links in rational homology 3-spheres.

(With Xiao-Song Lin) Topology Vol 38 (1), 95-115 (1999).
Article

5. Finite type invariants for knots in 3-manifolds.

Topology Vol 37 (3), 673-707 (1998).
Article

4. Homology spheres with the same finite type invariants of bounded orders.

Mathematical Research Letters 4, 341-347 (1997).

3. Finite type invariants for knots in 3-manifolds.

Ph.D Thesis, Columbia University, NY, (1995).

2. Andendumm to: "On the $G\sb 2$ link invariant ".

J. of Knot Theory and its Ramifications, Vol 3 (3), 431--432 (1994).

1. On the G_2 link invariant.

J. of Knot Theory and its Ramifications, Vol 2 (4), 431-451(1993).