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124.
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With J. Andersen and R. Kashaev, The volume conjecture for the KLV state-integral, preprint 2020.
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123.
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With D. Zagier, Knots, perturbative series and quantum modularity, preprint 2020.
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122.
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With J. Gu and M. Marino, The resurgent structure of quantum knot invariants, preprint 2020.
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121.
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With N. Dunfield and H. Rubinstein, Counting essential surfaces in 3-manifolds, preprint 2020.
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120.
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With J. Brown, T. Dimofte and N. Geer, The ADO invariants are a q-holonomic family, preprint 2020.
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119.
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With R. van der Veen, The FKB invariant is the 3d index, preprint 2020.
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118.
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With R. Kashaev, Resurgence of Faddeev's quantum dilogarithm, preprint 2020.
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117.
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With R. Detcherry, A diagrammatic approach to the AJ Conjecture, Mathematische Annalen, 378 (2020), 447-484.
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116.
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With D. Zagier, Asymptotics of Nahm sums at roots of unity, Ramanujan J., (2020) pp.
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115.
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With C. Lee and R. van der Veen, The Slope Conjecture for Montesinos knots, International J. Mathematics, 31 (2020) no. 7, 2050056 66 pp.
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114.
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With E. Getzler, Graph complexes and the symplectic character of the Torelli group, preprint 2017. Computer files: Symplectic character data
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113.
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With R. Kashaev, A meromorphic extension of the 3D Index, Research in mathematical Sciences, 6 (2019) no. 1, 6:8.
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112.
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With F. Calegari and D. Zagier, Bloch groups, algebraic K-theory, units and Nahm's Conjecture, preprint 2017.
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111.
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With Z. Dansco, A construction of the graphic matroid from the lattice of integer flows, preprint 2016.
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110.
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With I. Moffatt and Dylan P. Thurston, Non-peripheral ideal decompositions of alternating knots, preprint 2016.
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109.
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With A. Lauda and T.T.Q. Le, The colored HOMFLY-PT polynomial is q-holonomic, Duke Math. J., 167 (2018) 397-447.
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108.
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with C. Hodgson, N. Hoffman and H. Rubinstein, The 3D-index and normal surfaces, Illinois J. Mathematics, 60 (2016) 289-353.
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107.
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With T.T.Q. Le, A survey of q-holonomic functions, L'Enseignement Mathematique, 62 (2016) 501-525.
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106.
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With A. Reid, Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds, J. Topology and Analysis, 10 (2018) 1-25. Computer files: Isospectral data
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105.
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With P. Kucharski and P. Sulkowski, Knots, BPS states, and algebraic curves, Commun. Math. Physics, 346 (2016) 75-113.
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104.
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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
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103.
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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
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102.
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With T. Dimofte, Quantum modularity and complex Chern-Simons theory, Commun. Number Theory Phys., 12 (2018), no. 1, 1–52.
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101.
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With R. Kashaev, Evaluation of state integrals at rational points, Commun. Number Theory Phys., 9 (2015) 549-582.
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100.
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With R. van der Veen, Quadratic integer programming and the slope conjecture, New York J. Mathematics, 22 (2016) 907-932.
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99.
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The Newton polytope of a recurrent sequence of polynomials, preprint 2014.
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98.
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Recurrent sequences of polynomials in 3-dimensional topology, Acta Mathematica Vietnamica, 39 (2014) 541-548.
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97.
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With M. Goerner and C. Zickert, The Ptolemy field of 3-manifold-representations, Algebraic and Geometric Topology, 15 (2015) 371-397. Computer files: Unhyperbolic
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96.
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With R. van der Veen, A generating series for Murakami-Ohtsuki-Yamada graph evaluations, Acta Mathematica Vietnamica, 39 (2014) 529-539.
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95.
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With T. Vuong, A stability conjecture for the colored Jones polynomial, Topology Proceedings, 49 (2017) 211-249.
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94.
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With C. Zickert, The symplectic properties of the PGL(n,C) gluing equations, Quantum Topology, 7 (2016) no. 3 505-551. Computer files: Unhyperbolic
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93.
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With S. Norin and T. Vuong, Flag algebras and the stable coefficients of the Jones polynomial, European J. Combinatorics, 51 (2016) 165-189.
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92.
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With R. Kashaev, From state integrals to q-series, Math. Res. Letters, 24 (2017) 781-801.
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91.
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With T. Vuong, Alternating knots, planar graphs and q-series, Ramanujan J., 36 (2015) 501-527. Computer files: Phi_G data
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90.
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The colored HOMFLY polynomial is q-holonomic, preprint 2012. Computer files: HOMFLY twist knot data
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89.
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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
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88.
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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
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87.
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The 3D index of an ideal triangulation and angle structures, Ramanujan J. 40 (2016) 573-604.
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86.
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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
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85.
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With T. Dimofte, The quantum content of the gluing equations, Geometry and Topology, 17 (2013) 1253-1315.
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84.
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Quantum Knot Invariants, Arbeitstagung talk Bonn 2011, Research in the Mathematical Sciences, 5 (2018), no. 1, Paper No. 11, 17.
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83.
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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.
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82.
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With C. Koutschan, Twisting q-holonomic sequences by complex roots of unity, ISSAC (2012) 179-186. Computer files: twisting qholonomic data
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81.
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With T.T.Q. Le, Nahm sums, stability and the colored Jones polynomial, Research in Mathematical Sciences, 2 (2015) 1-55.
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80.
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With N. Dunfield, Incompressibility criteria for spun-normal surfaces, Transactions of the AMS 364 (2012) 6109-6137.
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79.
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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
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78.
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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
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77.
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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.
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76.
|
The Newton polygon of a recurrence sequence of polynomials and its role in TQFT, preprint 2010.
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75.
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With H. Morton and T. Vuong, The SL_3 colored Jones polynomial of the trefoil, Proceedings of the AMS 141:6 (2013) 2209-2220.
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74.
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With I. Popescu, Analyticity of the planar limit of a matrix model, Annales Henri Poincare, 14 (2013) 499-565.
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73.
|
What is a sequence of Nilsson type?, Contemporary Mathematics, 541 (2011) 145-157.
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72.
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The degree of a q-holonomic sequence is a quadratic quasi-polynomial, Electronic Journal of Combinatorics 18:2 (2011) research article P4, 23 pages.
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71.
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Knots and tropical curves, Contemporary Mathematics, 541 (2011) 83-111.
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70.
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With R. van der Veen, Asymptotics of quantum spin networks at a fixed root of unity, Mathematische Annalen, 352 (2012) 987-1012.
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69.
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With A. Its, A. Kapaev and M. Marino, Asymptotics of the instantons of Painleve I, Int. Math. Res. Not. IMRN, 3 (2012) 561-606.
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68.
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The Jones slopes of a knot, Quantum Topology, 2 (2011) 43-69.
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67.
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With J. Pommersheim, Sum-integral interpolators and the Euler-Maclaurin formula for polytopes, Transactions of the AMS, 364 (2012) 2933-2958.
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66.
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With J. Dubois, Rationality of the SL(2,C)-Reidemeister torsion in dimension 3, Topology Proceedings, 47 (2016) 115-134.
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65.
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With R. van der Veen, Asymptotics of classical spin networks, Geometry and Topology, 17 (2013) 1-37.
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64.
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With M. Marino, Universality and asymptotics of graph counting problems in non-orientable surfaces, Journal of Combinatorial Theory A, 117 (2010) 715-740.
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63.
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With X. Sun, A new algorithm for the recursion of hypergeometric multisums, Contemporary Mathematics, 517 (2011) 143-156. Computer files: Multisum data
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62.
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With T.T.Q. Le and M. Marino, Analyticity of the free energy of a closed 3-manifold, SIGMA, 4 (2008) 080 20 pages.
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61.
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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
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60.
|
Chern-Simons theory, analytic continuation and arithmetic, Acta Mathematica Vietnamica, 33 (2008) 335-362.
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59.
|
G-functions and multisum versus holonomic sequences, Advances in Mathematics, 220 (2009) 1945-1955.
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58.
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With J. Belissard, Algebraic generating functions of matrices over a group-ring, Chelyabinsk Math Journal, 3 (358) (2015) 50-61.
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57.
|
An ansatz for the asymptotics of hypergeometric multisums, Advances in Applied Mathematics, 41 (2008) 423-451.
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56.
|
An extended version of additive K-theory, Journal of K-Theory, 4 (2009) 391-403.
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55.
|
q-terms, singularities and the extended Bloch group, preprint 2007.
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54.
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With O. Costin, Resurgence of the Euler-MacLaurin summation formula, Annales de l' Institut Fourier 58 (2008) 893-914.
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53.
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With O. Costin, Resurgence of the fractional polylogarithms, Mathematical Research Letters, 16 (2009) no.5 817-826.
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52.
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With O. Costin, Resurgence of the Kontsevich-Zagier power series, Annales de l' Institut Fourier 61 (2011) 1225-1258.
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51.
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With T.T.Q. Le, Gevrey series in quantum topology, J. Reine Angew. Math., 618 (2008) 169-195.
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50.
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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.
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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.
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48.
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With M. Marino, On Chern-Simons Matrix Models, preprint 2006.
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47.
|
With T.T.Q. Le, Asymptotics of the colored Jones function of a knot, Geometry and Topology 15 (2011) 2135-2180.
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46.
|
With X. Sun, The C-polynomial of a knot, Algebraic and Geometric Topology, 6 (2006) 1001-1031.
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45.
|
With M. Loebl, A non-commutative formula for the colored Jones function, Mathematische Annalen, 336 (2006) 867-900.
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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.
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43.
|
With N. Dunfield, The nontriviality of the A-polynomial for knots in S^3, Algebraic and Geometric Topology, 4 (2004) 1145-1153.
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42.
|
With J. Geronimo, Asymptotics of q-difference equations, Contemporary Math., 416 (2006) 83-114.
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41.
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Does the Jones polynomial determine the signature of a knot? preprint 2003.
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40.
|
On the characteristic and deformation varieties of a knot, Proceedings of the Casson Fest, Geometry and Topology Monographs, 7 (2004) 291-309.
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39.
|
With T.T.Q. Le, The colored Jones function is q-holonomic, Geometry and Topology, 9 (2005) 1253-1293.
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38.
|
Difference and differential equations for the colored Jones function, Journal of Knot Theory and its Ramifications, 17 (2008) 495-510.
|
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37.
|
With T.T.Q. Le and D. Zeilberger, The quantum MacMahon Master Theorem, Proc. Natl. Academy of Sciences, 103 (2006) 13928-13931.
|
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36.
|
Links with trivial Alexander module and nontrivial Milnor invariants, Chelyabinsk Math Journal, 164 (2015) 209-2160.
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35.
|
With A. Kricker, A surgery view of boundary links, Math. Annalen, 327 (2003) 103-115.
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34.
|
With P. Teichner, On knots with trivial Alexander polynomial, Journal of Diff. Geometry, 67 (2004) 763-789.
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33.
|
With M. Loebl, Random walks and the colored Jones function, Combinatorica, 25 (2005) 651-671.
|
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32.
|
Periodicity of Goussarov-Vassiliev knot invariants, Geom. and Topology Monographs, 4 (2002) 43-54.
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31.
|
Beads: From Lie algebras to Lie groups, preprint 2002.
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30.
|
A conjecture on Khovanov's invariants, Fundamenta Mathematicae, 184 (2004) 99-101.
|
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29.
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With A. Kricker, Finite type invariants of cyclic branched covers, Topology, 43 (2004) 1247-1283.
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28.
|
With A. Kricker, A rational noncommutative invariant of boundary links, Geometry and Topology, 8 (2004) 115-204.
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27.
|
With J. Levine, Concordance and 1-loop clovers, Algebraic and Geometric Topology, 1 (2001) 687-697.
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26.
|
With J. Levine, Analytic invariants of boundary links, Journal of Knot Theory and its Ramifications, 11 (2002) 283-293.
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25.
|
With J. Levine, Homology surgery and invariants of 3-manifolds, Geometry and Topology, 5 (2001) 551-578.
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24.
|
With M. Goussarov and M. Polyak, Calculus of clovers and finite type invariants of 3-manifolds, Geometry and Topology, 5 (2001) 75-108.
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23.
|
Whitehead doubling persists, Algebraic and Geometric Topology, 4 (2004) 935-942.
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22.
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With L. Rozansky, The loop expansion of the Kontsevich integral, the null-move and S-equivalence, Topology, 43 (2004) 1183-1210.
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21.
|
The mystery of the brane relation, Journal of Knot Theory and its Ramifications, 11 (2002) 725-738.
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20.
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With J. Levine, Tree-level invariants of 3-manifolds, Massey products and the Johnson homomorph
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