Papers and Books in Knot, Group and Number Theory
| 28. | "The Head and Tail of the Colored Jones Polynomial for Adequate Knots"
with Cody Armond | 2017 | arXiv:1310.4537 | Proc. AMS., 145 (2017), No. 3, 1357-1367 |
| 27. | "Invariants for Turaev genus one links" with Adam Lowrance | 2016 | arXiv:1604.03501 | to appear in: Communications in Analysis and Geometry |
| 26. | "Simplicial volume of links from link diagrams" with Anastasiia Tsvietkova | 2015 | arXiv:1512.08316 | |
| 25. | "A refined upper bound for the hyperbolic volume of alternating links and the colored Jones polynomial" with Anastasiia Tsvietkova |
arXiv:1310.0788 | Math Res. Lett., Vol. 22, No. 4, 2015, pp. 1047-1060 | |
| 24. | "A Turaev surface approach to Khovanov homology",
with Adam Lowrance | 2014 | arXiv:1107.2344 | Quantum Topology, 5 (4), 2014, 425–486 |
| 23. | "A twisted dimer model for knots"
with Moshe Cohen and Heather M. Russell |
arXiv:1010.5228
MathSciNet |
Fundamenta Mathematicae, 225 (2014), 57-74 | |
| 22. | "A reduced set of moves on one-vertex ribbon graphs coming from links" with Susan Abernathy, Cody Armond, Moshe Cohen, Hannah Manuel, Chris Penn, Heather M. Russell, Neal Stoltzfus |
arXiv:1112.5172 MathSciNet |
Proc. Amer. Math. Soc. 142 (2014), 737-752 | |
| 21. | "Rogers-Ramanujan type identities and the head and tail of the colored Jones polynomial" with Cody Armond |
2011 | arXiv:1106.3948 | |
| 20. |
"Interactions between hyperbolic geometry, quantum topology and number theory. Proceedings of the workshop held June 3–13, and the conference held June 15–19, 2009 at Columbia University, NY Edited by A. Champanerkar, O. Dasbach, E. Kalfagianni, I. Kofman, W. Neumann, N. Stoltzfus |
AMS Bookstore |
Contemporary Mathematics, 541, American Mathematical Society, Providence, RI, 2011. xiv+257 pp |
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| 19. |
"Turaev genus, knot signature, and the knot homology concordance invariants" with Adam Lowrance |
arXiv:1002.0898 MathSciNet |
Proc. Amer. Math. Soc. 139 (2011), No. 7, pp. 2631–2645 | |
| 18. | "Alternating Sum Formulae for the Determinant and other Link Invariants" with David Futer, Effie Kalfagianni, Xiao-Song Lin, Neal Stoltzfus | 2010 |
math/0611025 MathSciNet Zentralblatt |
J. of Knot Theory Ram., Vol. 19 (6),
2010, pp. 765--782 |
| 17. |
"Mahler Measure under variations of the base group" with Matilde Lalin |
2009 | math/0702394 MathSciNet |
Forum Mathematicum, 21 (4) July 2009, pp. 621-637 |
| 16. | "On the recurrence of coefficients in the
Lück-Fuglede-Kadison determinant" with Matilde Lalin |
2008 | arXiv:0908.0582 MathSciNet |
Proceedings of the "Segundas Jornadas de Teoría de Números'', pp. 119–134, Bibl. Rev. Mat. Iberoamericana, Rev. Mat. Iberoamericana, Madrid, 2008 |
| 15. | "The Jones polynomial and graphs on surfaces", with David Futer, Effie Kalfagianni, Xiao-Song Lin, Neal Stoltzfus |
math/0605571 MathSciNet |
J. Combin. Theory Ser. B 98 (2008), no. 2, 384–399 |
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| 14. | "A natural series for the natural logarithm" | math/0611027 MathSciNet Zentralblatt |
Electron. J. Combin. 15 (2008), no. 1, Note 5, 7 pp. |
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| 13. |
"A volumish theorem for the Jones polynomial of alternating knots" with Xiao-Song Lin |
2007 | math/0403448 Zentralblatt MathSciNet |
Pacific J. Math. 231 (2007), no. 2, pp. 279–291 |
| 12. |
"On the head and the tail of the colored Jones polynomial",
with Xiao-Song Lin |
2006 | math/0604230 MathSciNet Zentralblatt |
Compos. Math. 142 (2006), no. 5, pp. 1332–1342 |
| 11. | "Property P for knots admitting certain Gabai disks" with Tao Li |
2004 | math/0305426 | Topology Appl. 142 (2004), no. 1-3, pp. 113–129 |
| 10. |
"The Bennequin number of n-trivial closed n-braids is negative" with Xiao-Song Lin |
2001 | math/0010278 MathSciNet Zentralblatt |
Math. Res. Lett. 8 (2001), no. 5-6, pp. 629–635 |
| 9. | "The automorphism group of a free group is not subgroup separable" with Brian Mangum |
MathSciNet Zentralblatt |
Knots, braids, and mapping class groups-papers dedicated to Joan S. Birman (New York, 1998), pp. 23–27, AMS/IP Stud. Adv. Math., 24, Amer. Math. Soc., Providence, RI, 2001 | |
| 8. | "Quantum morphing and the Jones polynomial" with Xiao-Song Lin and Thang D. Le |
MathSciNet Zentralblatt |
Comm. Math. Phys. 224 (2001), no. 2, pp. 427–442 |
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| 7. | "On McMullen's and other inequalities for the Thurston norm of link complements" with Brian Mangum |
math/9911172 MathSciNet |
Algebr. Geom. Topol. 1 (2001), pp. 321–347 |
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| 6. | "A note on doubles of groups" with Nadia Benakli, Yair Glasner, Brian Mangum |
math/9809137 MathSciNet |
J. Pure Appl. Algebra 156 (2001), no. 2-3, pp. 147–151 |
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| 5. | "A faithful representation of the singular braid monoid on three strands" with Bernd Gemein |
2000 | math/9806050 MathSciNet |
Knots in Hellas '98 (Delphi), pp. 48–58, Ser. Knots Everything, 24, World Sci. Publ., River Edge, NJ, 2000 |
| 4. |
"On the combinatorial structure of primitive Vassiliev invariants. III. A lower bound" |
math/9806086 MathSciNet Zentralblatt |
Commun. Contemp. Math. 2 (4), 2000, pp. 579–590 |
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| 3. |
"On the combinatorial structure of primitive Vassiliev invariants. II" |
1998 | MathSciNet |
J. Combin. Theory Ser. A 81 (1998), no. 2, pp. 127–139 |
| 2. |
"Does the Jones polynomial detect unknottedness?" with Stefan Hougardy |
1997 | MathSciNet | Experiment. Math. 6 (1997), no. 1, 51–56 |
| 1. | "A conjecture of Kauffman on amphicheiral alternating knots" with Stefan Hougardy | 1996 | MathSciNet | J. Knot Theory Ramifications 5 (1996), no. 5, 629–635 |