LSU
Mathematics

# Papers and Books in Knot, Group and Number Theory

(Google Scholar Profile)
 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 ofalternating 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 graphscoming 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 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 otherLink 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 14 "A natural series for the natural logarithm" math/0611027 MathSciNet Zentralblatt Electron. J. Combin. 15 (2008),no. 1, Note 5, 7 pp. 13 "A volumish theorem for the Jones polynomialof 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 notsubgroup 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 7 "On McMullen's and other inequalities for the Thurstonnorm of link complements" with Brian Mangum math/9911172 MathSciNet Algebr. Geom. Topol. 1 (2001),pp. 321–347 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 5 "A faithful representation of the singular braid monoidon 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 Vassilievinvariants. III. A lower bound" math/9806086 MathSciNet Zentralblatt Commun. Contemp. Math. 2 (4), 2000, pp. 579–590 3 "On the combinatorial structure of primitive Vassiliev invariants. II" 1998 MathSciNet J. Combin. Theory Ser. A81 (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