Papers and Books in Knot, Group and Number Theory
(Google Scholar Profile)28.  "Invariants for Turaev genus one links" with Adam Lowrance  2016  arXiv:1604.03501  to appear in: Communications in Analysis and Geometry 
27.  "Simplicial volume of links from link diagrams" with Anastasiia Tsvietkova  2015  arXiv:1512.08316  
26.  "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. 10471060  
25.  "A Turaev surface approach to Khovanov homology",
with Adam Lowrance  2014  arXiv:1107.2344  Quantum Topology, 5 (4), 2014, 425–486 
24.  "A twisted dimer model for knots"
with Moshe Cohen and Heather M. Russell 
arXiv:1010.5228
MathSciNet 
Fundamenta Mathematicae, 225 (2014), 5774  
23.  "A reduced set of moves on onevertex 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), 737752  
22.  "The Head and Tail of the Colored Jones Polynomial for Adequate Knots"
with Cody Armond  2013  arXiv:1310.4537  to appear in: Proc. AMS. 
21.  "RogersRamanujan 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 other Link Invariants" with David Futer, Effie Kalfagianni, XiaoSong Lin, Neal Stoltzfus  2010 
math/0611025 MathSciNet Zentralblatt 
J. of Knot Theory Ram., Vol. 19 (6),
2010, pp. 765782 
17. 
"Mahler Measure under variations of the base group" with Matilde Lalin 
2009  math/0702394 MathSciNet 
Forum Mathematicum, 21 (4) July 2009, pp. 621637 
16.  "On the recurrence of coefficients in the
LückFugledeKadison 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, XiaoSong 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 polynomial of alternating knots" with XiaoSong 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 XiaoSong 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. 13, pp. 113–129 
10. 
"The Bennequin number of ntrivial closed nbraids is negative" with XiaoSong Lin 
2001  math/0010278 MathSciNet Zentralblatt 
Math. Res. Lett. 8 (2001), no. 56, 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 groupspapers 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 XiaoSong 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 Thurston norm 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. 23, pp. 147–151 

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 

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 