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

A list of my publications, in reverse order.

68. [Abs] [PS] [PS] S. G., The Jones slopes of a knot, preprint 2009.
67. [Abs] [PS] [PS] S. G. and J. Pommersheim, Sum-integral interpolators and the Euler-Maclaurin formula for polytopes, preprint 2009.
66. [Abs] [PS] [PS] J. Dubois and S. G., Rationality of the SL(2,C)-Reidemeister torsion in dimension 3, preprint 2009.
65. [Abs] [PS] [PS] S. G. and R. van der Veen, Asymptotics of classical spin networks, preprint 2009.
64. [Abs] [PS] [PS] S. G. and M. Marino, Universality and asymptotics of graph counting problems in non-orientable surfaces, Journal of Combinatorial Theory A, in press.
63. [Abs] [PS] [PS] S. G. and X. Sun, An algorithm for the recursion of hypergeometric multisums, Contemporary Mathematics, in press.
62. [Abs] [PS] [PS] S. G., T.T.Q. Le and M. Marino, Analyticity of the free energy of a closed 3-manifold, SIGMA 4 (2008) 080 20 pages.
61. [Abs] [PS] [PS] S. G. and X. Sun, The non-commutative A-polynomial of twist knots, preprint 2008.
60. [Abs] [PS] [PS] S. G., Chern-Simons theory, analytic continuation and arithmetic, Acta Mathematica Vietnamica 33 (2008) 335-362.


59. [Abs] [PS] [PS] S. G., G-functions and multisum versus holonomic sequences, Advances in Mathematics, 220 (2009) 1945--1955.
58. [Abs] [PS] [PS] J. Belissard and S. G., Algebraic generating functions of matrices over a group-ring, preprint 2007.
57. [Abs] [PS] [PS] S. G., An ansatz for the asymptotics of hypergeometric multisums, Advances in Applied Mathematics, 41 (2008) 423-451.
56. [Abs] [PS] [PS] S. G., An extended version of additive K-theory, Journal of K-Theory, in press.
55. [Abs] [PS] [PS] S. G., q-terms, singularities and the extended Bloch group, preprint 2007.
54. [Abs] [PS] [PS] O. Costin and S. G., Resurgence of the Euler-MacLaurin summation formula, Annales de l' Institut Fourier 58 (2008) 893-914.
53. [Abs] [PS] [PS] O. Costin and S. G., Resurgence of the fractional polylogarithms, Mathematical Research Letters, in press.
52. [Abs] [PS] [PS] O. Costin and S. G., Resurgence of the Kontsevich-Zagier power series, Annales de l' Institut Fourier, in press.
51. [Abs] [PS] [PS] S. G. and T.T.Q. Le, Gevrey series in quantum topology, J. Reine Angew. Math., 618 (2008) 169-195.
50. [Abs] [PS] [PS] N. Dunfield, S. G., A. Shumakovitch and M. Thislethwaite, Behavior of knot invariants under genus 2 mutation, preprint 2006.


49. [Abs] [PS] [PS] S. G. and 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. [Abs] [PS] [PS] S. G. and M. Marino, On Chern-Simons Matrix Models, preprint 2006.
47. [Abs] [PS] [PS] S. G. and T.T.Q. Le, Asymptotics of the colored Jones function of a knot, preprint 2005.
46. [Abs] [PS] [PS] S. G. and X. Sun, The C-polynomial of a knot, Algebraic and Geometric Topology, 6 (2006) 1001-1031.
45. [Abs] [PS] [PS] S. G. and M. Loebl, A non-commutative formula for the colored Jones function, Mathematische Annalen, 336 (2006) 867-900.
44. [Abs] [PS] [PS] S. G. and 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. [Abs] [PS] [PS] N. Dunfield and S. G., Nontriviality of the A-polynomial for knots in S^3, Algebraic and Geometric Topology, 4 (2004) 1145-1153.
42. [Abs] [PS] [PS] S. G. and J. Geronimo, Asymptotics of q-difference equations, Contemporary Math., 416 (2006) 83-114.
41. [Abs] [PS] [PS] S. G., Does the Jones polynomial determine the signature of a knot? preprint 2003.


40. [Abs] [PS] [PS] S. G., On the characteristic and deformation varieties of a knot, Proceedings of the Casson Fest, Geometry and Topology Monographs, 7 (2004) 291-309.
39. [Abs] [PS] [PS] S. G. and T.T.Q. Le, The colored Jones function is q-holonomic, Geometry and Topology, 9 (2005) 1253-1293.
38. [Abs] [PS] [PS] S. G., Difference and differential equations for the colored Jones function, Journal of Knot Theory and its Ramifications, 17 (2008) 495-510.
37. [Abs] [PS] [PS] S. G., T.T.Q. Le and D. Zeilberger, The quantum MacMahon Master Theorem, Proc. Natl. Academy of Sciences, 103 (2006) 13928-13931.
36. [Abs] [PS] [PS] S. G., Links with trivial Alexander module and nontrivial Milnor invariants, preprint 2002.
35. [Abs] [PS] [PS] S. G. and A. Kricker, A surgery view of boundary links, Math. Annalen, 327 (2003) 103-115.
34. [Abs] [PS] [PS] S. G. and P. Teichner, On knots with trivial Alexander polynomial, Journal of Diff. Geometry, 67 (2004) 763-789.
33. [Abs] [PS] [PS] S. G. and M. Loebl, Random walks and the colored Jones function, Combinatorica, 25 (2005) 651-671.
32. [Abs] [PS] [PS] S. G., Periodicity of Goussarov-Vassiliev knot invariants, Geom. and Topology Monographs, 4 (2002) 43-54.
31. [Abs] [PS] [PS] S. G., Beads: From Lie algebras to Lie groups, preprint 2002.


30. [Abs] [PS] [PS] S. G., A conjecture on Khovanov's invariants, Fundamenta Mathematicae, 184 (2004) 99-101.
29. [Abs] [PS] [PS] S. G. and A. Kricker, Finite type invariants of cyclic branched covers, Topology, 43 (2004) 1247-1283.
28. [Abs] [PS] [PS] S. G. and A. Kricker, A rational noncommutative invariant of boundary links, Geometry and Topology, 8 (2004) 115-204.
27. [Abs] [PS] [PS] S. G. and J. Levine, Concordance and 1-loop clovers, Algebraic and Geometric Topology, 1 (2001) 687-697.
26. [Abs] [PS] [PS] S. G. and J. Levine, Analytic invariants of boundary links, Journal of Knot Theory and its Ramifications, 11 (2002) 283-293.
25. [Abs] [PS] [PS] S. G. and J. Levine, Homology surgery and invariants of 3-manifolds, Geometry and Topology, 5 (2001) 551-578.
24. [Abs] [PS] [PS] S. G., M. Goussarov and M. Polyak, Calculus of clovers and finite type invariants of 3-manifolds, Geometry and Topology, 5 (2001) 75-108.
23. [Abs] [PS] [PS] S. G., Whitehead doubling persists, Algebraic and Geometric Topology, 4 (2004) 935-942.
22. [Abs] [PS] [PS] S. G., Lev Rozansky, The loop expansion of the Kontsevich integral, the null-move and S-equivalence, Topology, 43 (2004) 1183-1210.
21. [Abs] [PS] [PS] S. G., The mystery of the brane relation, Journal of Knot Theory and its Ramifications, 11 (2002) 725-738.


20. [Abs] [PS] [PS] S. G., 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. [Abs] [PS] [PS] S. G., Signatures of links and finite type invariants of cyclic branched covers, Contemporary Math. AMS. 231 (1999) 87-97.
18. [Abs] [PS] [PS] D. Bar-Natan, S. G., L. Rozansky, 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. [Abs] [PS] [PS] D. Bar-Natan, S. G., L. Rozansky, D. Thurston, The Aarhus integral of rational homology 3-spheres II: Invariance and universality, Selecta Math. 8 (2002) 341--371.
16. [Abs] [PS] [PS] D. Bar-Natan, S. G., L. Rozansky, 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. [Abs] [PS] [PS] S. G., Applications of the lantern identity, Journal of Knot Theory and its Ramifications, 10 (2001) 303-307.
14. [Abs] [PS] [PS] S. G., H. Nakamura, Some IHX-type relations and symplectic representation theory, Math. Res. Letters, 5 (1998) 391-402.
13. [Abs] [PS] [PS] S. G., A reappearance of wheels, Journal of Knot Theory and Its Ramifications, 7 (1998) 1065-1071.
12. [Abs] [PS] [PS] S. G., N. Habegger, The Alexander polynomial and finite type 3-manifold invariants, Math. Annalen, 316 (2000) 485-497.
11. [Abs] [PS] [PS] S. G., J. Pommersheim, Zeta functions at negative integers, Dedekind sums and toric varieties, Journal of Amer. Math. Soc. 14 (2001) 1-23.


10. [Abs] [PS] [PS] D. Bar-Natan, S. G., L. Rozansky, D. Thurston, Wheels, wheeling and the Kontsevich integral of the unknot, Israel Journal of Math, 119 (2000) 217-238.
9. [Abs] [PS] [PS] S. G., J. Levine, Finite type 3-manifold invariants and the Torelli group I, Inventiones, 131 (1998) 541-594.
8. [Abs] [PS] [PS] S. G., J. Levine, Finite type 3-manifold invariants, the mapping class group and blinks, Journal of Differential Geometry, 47 (1997) 257-320.
7. [Abs] [PS] [PS] S. G., 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. [Abs] [PS] [PS] S. G., J. Levine, On finite type invariants of 3-manifolds IV: Comparison of Definitions, Math. Proc. Cambridge Phil. Soc, 12 (1997) 291-300.
5. [Abs] [PS] [PS] S. G., T. Ohtsuki, On finite type invariants of 3-manifolds III: Manifold Weight Systems, Topology, 37 (1998) 227-244.
4. [Abs] [PS] [PS] S. G., J. Levine, On finite type invariants of 3-manifolds II, Mathematische Annalen, 306 (1996) 691-718.
3. [Abs] [PS] [PS] S. G., On finite type invariants of 3-manifolds I, Journal of Knot Theory and Its Ramifications, 5 (1996) 441-462.
2. [Abs] [PS] [PS] D. Bar-Natan, S. G., On the Melvin-Morton-Rozansky conjecture, Inventiones, 125 (1996) 103-133.
1. [Abs] [PS] [PS] S. G., Applications of TQFT invariants in low dimensional topology. Topology, 37 (1998) 219-224.