51. with Steven Boyer and Cameron Gordon, Dehn fillings of knot manifolds
containing essential twice punctured tori, Memoirs of the Amer. Math. Soc. , 295
(2024) 1-106. (data file 1) (data file 2)

50. with Yi Ni, Characterizing slopes for torus knots, II, Knot Theory and its Ramifications 32 (2023) No.3, 13 pages.

49. Remarks on SU(2)-simple knots and SU(2)-cyclic 3-manifolds, Contemp. Math. 760 (2020) 345-353.

48. with Yi Ni, Dehn surgery on knots in S^3 producing Nil Seifert fibred spaces, Ann. of Math. Studies 205 (2020) 244-258.

47. with Chris Herald, A note on orderability and Dehn filling, Proc. Amer. Math. Soc. 147 (2019) 2815-2819.

46. with Yi Ni, Finite Dehn surgeries on knots in S^3, Algebraic & Geometric Topology 18 (2018) 441-492.

45. with Thang Le, Character varieties, A-polynomials, and the AJ-conjecture, Algebraic & Geometric Topology 17 (2017) 157-188.

44. with Yi Ni, Detection of knots and a cabling formula for A-polynomials, Algebraic & Geometric Topology 17 (2017) 65-109.

43. with Dennis Ruppe, The AJ-conjecture and cabled knots over torus knots, J. Knot Theory and its Ramifications 24 (2015) 24 pages

42. with Yi Ni, Characterizing slopes for torus knots, Algebraic & Geometric Topology, 14 (2014) 1249-1274.

41. with Steven Boyer and Cameron Gordon, Dehn fillings of knot manifolds containing essential once-punctured tori, Trans. Amer. Math. Soc., 366 (2014) 341-393.

40. with Steven Boyer and Cameron Gordon, Characteristic submanifold theory and toroidal Dehn filling, Advances in Mathematics, 230 (2012) 1673-1737.

39. with Joseph Masters, Quasi-Fuchsian surfaces in hyperbolic link complements, unpublished paper.

38. with Steven Boyer and Cameron Gordon, Reducible and finite Dehn fillings, J. Lond. Math. Soc. 79 (2009) 72--84.

37. with Ian Agol and Steven Boyer, Virtually fibred Montesinos links, Journal of Topology 1 (2008) 993--1018.

36. with Joseph Masters, Closed quasi-Fuchsian surfaces in hyperbolic knot complements, Geometry & Topology 12 (2008) 2095-2171.

35. with Joseph Masters and William Menasco, Heegaard splittings and virtually Haken Dehn filling II, New York J. Math. 15 (2009) 1--17.

34. with Steven Boyer, Marc Culler and Peter Shalen, Characteristic subsurfaces, character varieties and Dehn fillings, Geometry & Topology 12 (2008) 233-297.

33. A-polynomial n-tuple of a link and hyperbolic 3-manifolds with non-integral traces, J. Knot Theory Ramifications 15 (2006) 279-287.

32. with Samuel Schack, Culler-Shalen norms and invaraint trace fields, Geometry and Topology of Manifolds, Fields Institute Communications 47 (2005) 307-311.

31. with Steven Boyer, Every nontrivial knot in the 3-sphere has nontrivial A-polynomial, Proc. Amer. Math. Soc. 133 (2005) 2813-2815.

30. Trace fields of representations and virtually Haken 3-manifolds, Q. J. Math. 56 (2005) 431-442.

29. with Srikanth Kuppum, Roots of unity associated to strongly detected boundary slopes, J. Knot Theory Ramifications 18 (2009) 1623--1636.

28. with Steven Boyer, Marc Culler and Peter Shalen, Characteristic subsurfaces and Dehn filling, Trans. Amer. Math. Soc. 357 (2005) 2389-2444.

27. with Joseph Masters and William Menasco, Heegaard splittings and virtually Haken Dehn filling, New York J. Math. 10 (2004) 133-150.

26. The C-polynomial of a knot, Topology Appl. 139 (2004) 185-198.

25. with William Menasco, Knots with braid index three have Property-P, J. Knot Theory Ramifications 12 (2003) 427-444.

24. with Steven Boyer and Erhard Luft, On the algebraic components of the SL(2, C) character varieties of knot exteriors, Topology, 41 (2002) 667-694.

23. with Steven Boyer, A proof of the finite filling conjecture, J. Diff. Geom., 59 (2001) 87-176.

22. with Steven Boyer and Cameron Gordon, Dehn fillings of large hyperbolic 3-manifolds, J. Diff. Geom., 58 (2001) 263-308.

21. with Stephen Schanuel, Detection of essential surfaces in 3-manifolds with SL_2-trees, Math. Ann., 320 (2001) 149-165.

20. with William Menasco, Notes on tangles, 2-handle additions and exceptional Dehn fillings, Pacific J. Math., 198 (2001) 149-174.

19. with Steven Boyer, On simple points of character varieties of 3-manifolds, Proceedings of Knots in Hellas 1998, World Scientific (2000) 27-35.

18. with Cameron Gordon and Ying-Qing Wu, Nonintegral toroidal Dehn surgery on hyperbolic knots in $S^3$, Proc. Amer. Math. Soc., 128 (2000), no. 6, 1869--1879.

17. with Steven Boyer, Virtual Haken 3-manifolds and Dehn filling, Topology, 39 (2000) 103-114.

16. Dehn filling with non-degenerate boundary slope rows, Topology and its Applications, 99 (1999) 99-110.

15. with Steven Boyer, A note on finite Dehn filling, Canadian Math. Bulletin, 42 (1999) 149-154.

14. with Steven Boyer, On Culler-Shalen seminorms and Dehn filling, Ann. of Math., 248 (1998) 737-801.

13. with Steven Boyer and Thomas Mattman, The fundamental polygons of twist knots and the (-2,3,7) pretzel knot, Knots' 96, World Scientific Publishing Co. Pte. Ltd. (1997) 159-172.

12. with Steven Boyer, Cyclic surgery and boundary slopes, Geometric Topology, AMS/IP Studies in Advanced Mathematics, Vol. 2 (1997) 62-79.

11. with Steven Boyer, Reducing Dehn filling and toroidal Dehn filling, Topology Appl. 68 (1996) 285-303.

10. with Steven Boyer, Finite Dehn surgery on knots, J. Amer. Math. Soc. 9 (1996) 1005-1050.

9. with Alexey Bolsinov and Anatoly Fomenko, The strong, semi-strong and quasi-semi-strong bordism groups for integrable Hamiltonian systems with two degrees of freedom, Russian J. Math. Phys. 3 (1995) 423-452.

8. with Steven Boyer, Exceptional Dehn surgery on knots, Bull. Amer. Math. Soc. 31 (1994) 197-203.

7. with Erhard Luft, Symmetric knots and the cabling conjecture, Math. Ann. 298 (1994) 489-496.

6. with Alexey Bolsinov and Anatoly Fomenko, Three types of bordisms for integrable Hamiltonian systems with two degrees of freedom, Trudy MIRAN 205 (1994) 32-72.

5. with Robion Kirby and Paul Melvin, Quantum invariants at the sixth root of unity, Commun. Math. Phys. 151 (1993) 607-617.

4. On property I for knots in $S^{3}$, Tran. Amer. Math. Soc. 339 (1993) 643-657.

3. Unknotting number one knots are prime -- a new proof, Proc. Amer. Math. Soc. (1991) 611-612.

2. Nonintegral boundary slopes exist, Fundamenta Mathematicae 138 (1991) 219-224.

1. Cyclic surgery on satellite knots, Glasgow J. Math. 3 (1991) 125-128.