A  list of my papers from the AMS MathSciNet with links to Mathematical Reviews.


A list of my publications, in reverse chronological order.
113. With R. Kashaev, A meromorphic extension of the 3D Index,   preprint 2017.
112. With F. Calegari and D. Zagier, Bloch groups, algebraic K-theory, units and Nahm's Conjecture,   preprint 2017.
111. With Z. Dansco, A construction of the graphic matroid from the lattice of integer flows,   preprint 2016.
110. With I. Moffatt and Dylan P. Thurston, Non-peripheral ideal decompositions of alternating knots,   preprint 2016.
109. With A. Lauda and T.T.Q. Le, The colored HOMFLY-PT polynomial is q-holonomic,   Duke Math. J., in press.
108. with C. Hodgson, N. Hoffman and H. Rubinstein, The 3D-index and normal surfaces,   Illinois J. Mathematics, 60 (2016) 289-353.
107. With T.T.Q. Le, A survey of q-holonomic functions,   L'Enseignement Mathematique, 62 (2016) 501-525.
106. With A. Reid, Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds,   J. Topology and Analysis, in press. Computer files:  Isospectral data
105. With P. Kucharski and P. Sulkowski, Knots, BPS states, and algebraic curves,   Commun. Math. Physics, 346 (2016) 75-113.
104. With E. Sabo and S. Scott, Exact computation of the n-loop invariants of knots,   Experimental Math. 25 (2016) 125-129. Computer files:  n-loop data
103. With E. Fominykh, M. Goerner, V. Tarkaev and A. Vesnin, A census of tetrahedral hyperbolic manifolds,   Experimental Math. 25 (2016) 466-481. Computer files:   Tetrahedral census
102. With T. Dimofte, Quantum modularity and complex Chern-Simons theory,   preprint 2015.
101. With R. Kashaev, Evaluation of state integrals at rational points,   Commun. Number Theory Phys., in press.
100. With R. van der Veen, Quadratic integer programming and the slope conjecture,   New York J. Mathematics, 22 (2016) 907-932.
99. The Newton polytope of a recurrent sequence of polynomials,   preprint 2014.
98. Recurrent sequences of polynomials in 3-dimensional topology,   Acta Mathematica Vietnamica, 39 (2014) 541-548.
97. With M. Goerner and C. Zickert, The Ptolemy field of 3-manifold-representations,   Algebraic and Geometric Topology, 15 (2015) 371-397. Computer files:  Unhyperbolic
96. With R. van der Veen, A generating series for Murakami-Ohtsuki-Yamada graph evaluations,   Acta Mathematica Vietnamica, 39 (2014) 529-539.
95. With T. Vuong, A stability conjecture for the colored Jones polynomial,   Topology Proceedings, 49 (2017) 211-249.
94. With C. Zickert, The symplectic properties of the PGL(n,C) gluing equations,   Quantum Topology, 7 (2016) no. 3 505-551. Computer files:  Unhyperbolic
93. With S. Norin and T. Vuong, Flag algebras and the stable coefficients of the Jones polynomial,   European J. Combinatorics, 51 (2016) 165-189.
92. With R. Kashaev, From state integrals to q-series,   Math. Res. Letters, 24 (2017) 781-801.
91. With T. Vuong, Alternating knots, planar graphs and q-series,   Ramanujan J., 36 (2015) 501-527. Computer files:  Phi_G data
90. The colored HOMFLY polynomial is q-holonomic,   preprint 2012. Computer files:  HOMFLY twist knot data
89. With C. Koutschan, Irreducibility of q-difference operators and the knot 7_4,   Algebraic and Geometric Topology, 13 (2013) 3261-3286. Computer files:  double twist data
88. with C. Hodgson, H. Rubinstein and H. Segerman, 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold,   Geometry and Topology, 19 (2015) 2619-2689. Computer files: 3D index data
87. The 3D index of an ideal triangulation and angle structures,   Ramanujan J. 40 (2016) 573-604.
86. With M. Goerner and C. Zickert, Gluing equations for PGL(n,C)-representations of 3-manifolds,   Algebraic and Geometric Topology, 15 (2015) 565-622. Computer files:  Unhyperbolic
85. With T. Dimofte, The quantum content of the gluing equations,   Geometry and Topology, 17 (2013) 1253-1315.
84. Quantum Knot Invariants,   Arbeitstagung talk Bonn 2011.
83. With D.P. Thurston and C. Zickert, The complex volume of SL(n,C) representations of 3-manifolds,   Duke Math J., 164 (2015), no. 11, 2099-2160.
82. With C. Koutschan, Twisting q-holonomic sequences by complex roots of unity,   ISSAC (2012) 179-186. Computer files:  twisting qholonomic data
81. With T.T.Q. Le, Nahm sums, stability and the colored Jones polynomial,   Research in Mathematical Sciences, 2 (2015) 1-55.
80. With N. Dunfield, Incompressibility criteria for spun-normal surfaces,   Transactions of the AMS 364 (2012) 6109-6137.
79. With T. Mattman, The A-polynomial of the (-2,3,3+2n) pretzel knots,   New York Journal of Mathematics 17 (2011) 269-279. Computer files: pretzel A-polynomial data
78. With C. Koutschan, The non-commutative A-polynomial of the (-2,3,n) pretzel knots,   Experimental Mathematics 21:3 (2012) 241-251. Computer files: pretzel data
77. With C. Koutschan, The SL_3 Jones polynomial of the trefoil: a case study of q-holonomic sequences,   Advances in Applied Mathematics 47 (2011) 829-839.
76. The Newton polygon of a recurrence sequence of polynomials and its role in TQFT,   preprint 2010.
75. With H. Morton and T. Vuong, The SL_3 colored Jones polynomial of the trefoil,   Proceedings of the AMS 141:6 (2013) 2209-2220.
74. With I. Popescu, Analyticity of the planar limit of a matrix model,   Annales Henri Poincare, 14 (2013) 499-565.
73. What is a sequence of Nilsson type?,   Contemporary Mathematics, 541 (2011) 145-157.
72. The degree of a q-holonomic sequence is a quadratic quasi-polynomial,   Electronic Journal of Combinatorics 18:2 (2011) research article P4, 23 pages.
71. Knots and tropical curves,   Contemporary Mathematics, 541 (2011) 83-111.
70. With R. van der Veen, Asymptotics of quantum spin networks at a fixed root of unity,   Mathematische Annalen, 352 (2012) 987-1012.
69. With A. Its, A. Kapaev and M. Marino, Asymptotics of the instantons of Painleve I,   Int. Math. Res. Not. IMRN, 3 (2012) 561-606.
68. The Jones slopes of a knot,   Quantum Topology, 2 (2011) 43-69.
67. With J. Pommersheim, Sum-integral interpolators and the Euler-Maclaurin formula for polytopes,   Transactions of the AMS, 364 (2012) 2933-2958.
66. With J. Dubois, Rationality of the SL(2,C)-Reidemeister torsion in dimension 3,   Topology Proceedings, 47 (2016) 115-134.
65. With R. van der Veen, Asymptotics of classical spin networks,   Geometry and Topology, 17 (2013) 1-37.
64. With M. Marino, Universality and asymptotics of graph counting problems in non-orientable surfaces,  Journal of Combinatorial Theory A, 117 (2010) 715-740.
63. With X. Sun, An algorithm for the recursion of hypergeometric multisums,  Contemporary Mathematics, 517 (2011) 143-156. Computer files: Multisum data
62. With T.T.Q. Le and M. Marino, Analyticity of the free energy of a closed 3-manifold,  SIGMA, 4 (2008) 080 20 pages.
61. With X. Sun, The non-commutative A-polynomial of twist knots,  Journal of Knot Theory and Its Ramifications, 19 (2010) 1571-1595.   Computer files: twist knot data
60. Chern-Simons theory, analytic continuation and arithmetic,  Acta Mathematica Vietnamica, 33 (2008) 335-362.
59. G-functions and multisum versus holonomic sequences,  Advances in Mathematics, 220 (2009) 1945-1955.
58. With J. Belissard, Algebraic generating functions of matrices over a group-ring,   Chelyabinsk Math Journal, in press.
57. An ansatz for the asymptotics of hypergeometric multisums,  Advances in Applied Mathematics, 41 (2008) 423-451.
56. An extended version of additive K-theory,  Journal of K-Theory, 4 (2009) 391-403.
55. q-terms, singularities and the extended Bloch group,  preprint 2007.
54. With O. Costin, Resurgence of the Euler-MacLaurin summation formula,  Annales de l' Institut Fourier 58 (2008) 893-914.
53. With O. Costin, Resurgence of the fractional polylogarithms,  Mathematical Research Letters, 16 (2009) 817-826.
52. With O. Costin, Resurgence of the Kontsevich-Zagier power series,  Annales de l' Institut Fourier 61 (2011) 1225-1258.
51. With T.T.Q. Le, Gevrey series in quantum topology,  J. Reine Angew. Math., 618 (2008) 169-195.
50. With N. Dunfield, A. Shumakovitch and M. Thislethwaite, Behavior of knot invariants under genus 2 mutation,  New York Journal of Mathematics 16 (2010) 99-123.
49. With T.T.Q. Le, Is the Jones polynomial of a knot really a polynomial?  Proceedings of the KauffmanFest, Journal of Knot Theory and its Ramifications, 15 (2006) 1-18.
48. With M. MarinoOn Chern-Simons Matrix Models,  preprint 2006.
47. With T.T.Q. Le, Asymptotics of the colored Jones function of a knot,   Geometry and Topology 15 (2011) 2135-2180.
46. With X. Sun, The C-polynomial of a knot,  Algebraic and Geometric Topology, 6 (2006) 1001-1031.
45. With M. Loebl, A non-commutative formula for the colored Jones function,  Mathematische Annalen, 336 (2006) 867-900.
44. With Y. Lan, Experimental evidence for the Volume Conjecture of the simplest hyperbolic non-2-bridge knot,  Algebraic and Geometric Topology, 5 (2005) 379-403.
43. With N. Dunfield, Nontriviality of the A-polynomial for knots in S^3,  Algebraic and Geometric Topology, 4 (2004) 1145-1153.
42. With  J. Geronimo, Asymptotics of q-difference equations,  Contemporary Math., 416 (2006) 83-114.
41. Does the Jones polynomial determine the signature of a knot?  preprint 2003.
40. On the characteristic and deformation varieties of a knot,  Proceedings of the Casson Fest, Geometry and Topology Monographs, 7 (2004) 291-309.
39. With T.T.Q. Le, The colored Jones function is q-holonomic,  Geometry and Topology, 9 (2005) 1253-1293.
38. Difference and differential equations for the colored Jones function,  Journal of Knot Theory and its Ramifications, 17 (2008) 495-510.
37. With T.T.Q. Le and D. Zeilberger, The quantum MacMahon Master Theorem,  Proc. Natl. Academy of Sciences, 103 (2006) 13928-13931.
36. Links with trivial Alexander module and nontrivial Milnor invariants,   Chelyabinsk Math Journal, in press.
35. With A. Kricker, A surgery view of boundary links,  Math. Annalen, 327 (2003) 103-115.
34. With P. Teichner, On knots with trivial Alexander polynomial,  Journal of Diff. Geometry, 67 (2004) 763-789.
33. With M. Loebl, Random walks and the colored Jones function,  Combinatorica, 25 (2005) 651-671.
32. Periodicity of Goussarov-Vassiliev knot invariants,  Geom. and Topology Monographs, 4 (2002) 43-54.
31. Beads: From Lie algebras to Lie groups,  preprint 2002.
30. A conjecture on Khovanov's invariants,  Fundamenta Mathematicae, 184 (2004) 99-101.
29. With A. Kricker, Finite type invariants of cyclic branched covers,  Topology, 43 (2004) 1247-1283.
28. With A. Kricker, A rational noncommutative invariant of boundary links,  Geometry and Topology, 8 (2004) 115-204.
27. With  J. Levine, Concordance and 1-loop clovers,  Algebraic and Geometric Topology, 1 (2001) 687-697.
26. With  J. Levine, Analytic invariants of boundary links,  Journal of Knot Theory and its Ramifications, 11 (2002) 283-293.
25. With J. Levine, Homology surgery and invariants of 3-manifolds,  Geometry and Topology, 5 (2001) 551-578.
24. With M. Goussarov and M. Polyak, Calculus of clovers and finite type invariants of 3-manifolds,  Geometry and Topology, 5 (2001) 75-108.
23. Whitehead doubling persists,  Algebraic and Geometric Topology, 4 (2004) 935-942.
22. With L. Rozansky, The loop expansion of the Kontsevich integral, the null-move and S-equivalence,  Topology, 43 (2004) 1183-1210.
21. The mystery of the brane relation,  Journal of Knot Theory and its Ramifications, 11 (2002) 725-738.
20. With J. Levine, Tree-level invariants of 3-manifolds, Massey products and the Johnson homomorphism,  Graphs and Patterns in Mathematics and Theoretical Physics, Proceedings Symp. Pure Math. 73 (2005) 173-205.
19. Signatures of links and finite type invariants of cyclic branched covers,  Contemporary Math. AMS. 231 (1999) 87-97.
18. With D. Bar-Natan, L. Rozansky and D. Thurston, The Aarhus integral of rational homology 3-spheres III: The relation with the Le-Murakami-Ohtsuki invariant,
Selecta Math. 10 (2004) 305-324.
17. With D. Bar-Natan, L. Rozansky and D. Thurston, The Aarhus integral of rational homology 3-spheres II: Invariance and universality,
Selecta Math. 8 (2002) 341-371.
16. With D. Bar-Natan, L. Rozansky and D. Thurston, The Aarhus integral of rational homology 3-spheres I: a highly nontrivial flat connection on S^3,
Selecta Math. 8 (2002) 315-339.
15. Applications of the lantern identity,  Journal of Knot Theory and its Ramifications, 10 (2001) 303-307.
14. With H. Nakamura, Some IHX-type relations and symplectic representation theory,  Math. Res. Letters, 5 (1998) 391-402.
13. A reappearance of wheels,  Journal of Knot Theory and Its Ramifications, 7 (1998) 1065-1071.
12. With N. Habegger, The Alexander polynomial and finite type 3-manifold invariants,  Math. Annalen, 316 (2000) 485-497.
11. With J. Pommersheim, Zeta functions at negative integers, Dedekind sums and toric varieties,  Journal of Amer. Math. Soc. 14 (2001) 1-23.
10. With D. Bar-Natan, L. Rozansky and D. Thurston, Wheels, wheeling and the Kontsevich integral of the unknot,  Israel Journal of Math, 119 (2000) 217-238.
9. With J. Levine, Finite type 3-manifold invariants and the Torelli group I,  Inventiones, 131 (1998) 541-594.
8. With J. Levine, Finite type 3-manifold invariants, the mapping class group and blinks,  Journal of Differential Geometry, 47 (1997) 257-320.
7. With T. Ohtsuki, On finite type invariants of 3-manifolds V: Rational Homology 3-spheres,  Procceedings of the Aarhus conference, Geometry and Physics, Marcel Dekker (1996) 445-457.
6. With J. Levine, On finite type invariants of 3-manifolds IV: Comparison of Definitions,  Math. Proc. Cambridge Phil. Soc, 12 (1997) 291-300.
5. With T. Ohtsuki, On finite type invariants of 3-manifolds III: Manifold Weight Systems,  Topology, 37 (1998) 227-244.
4. With J. Levine, On finite type invariants of 3-manifolds II,  Mathematische Annalen, 306 (1996) 691-718.
3. On finite type invariants of 3-manifolds I,  Journal of Knot Theory and Its Ramifications, 5 (1996) 441-462.
2. With D. Bar-Natan, On the Melvin-Morton-Rozansky conjecture,  Inventiones, 125 (1996) 103-133.
1. Applications of TQFT invariants in low dimensional topology,  Topology, 37 (1998) 219-224.