Preprints and Publications:

Note most papers and preprints are also available on the ArXiv.

Preprints

  1. Cusp shape and tunnel number
    With Vinh Dang
    Preprint (13 pages): [pdf]. ArXiv.

  2. A survey of hyperbolic knot theory
    With David Futer and Efstratia Kalfagianni
    Preprint (20 pages): [pdf]. ArXiv.

Publications

  1. Diagram uniqueness for highly twisted plats
    With Yoav Moriah
    Transactions of the American Mathematical Society, to appear.
    Preprint (27 pages): [pdf]. ArXiv.

  2. Spacious knots
    With Autumn Kent
    Mathematical Research Letters, to appear.
    Preprint (10 pages): [pdf]. ArXiv.

  3. Geometry of planar surfaces and exceptional fillings
    With Neil Hoffman.
    Bulletin of the London Mathematical Society, Vol. 49 (2017), No. 2, pp. 185-201.
    Preprint version (17 pages): [pdf]. ArXiv.
  4. Independence of volume and genus g bridge numbers
    With Alex Zupan
    Proceedings of the American Mathematical Society, Vol. 145 (2017), No. 4, 1805-1818.
    Preprint version (14 pages): [pdf]. ArXiv.

  5. Geometrically and diagrammatically maximal knots
    With Abhijit Champanerkar and Ilya Kofman.
    Journal of the London Mathematical Society, Vol. 94 (2016), No. 3, 883-908.
    Preprint version (26 pages): [pdf]. ArXiv.
  6. Volume bounds for weaving knots
    With Abhijit Champanerkar and Ilya Kofman.
    Algebraic and Geoemtric Topology, Vol. 16 (2016), No. 6, 3301-3323.
    Preprint version (17 pages): [pdf]. ArXiv.
  7. Essential twisted surfaces in alternating link complements
    With Marc Lackenby.
    Algebraic and Geometric Topology, Vol. 16 (2016), No. 6, 3209-3270. Preprint version (51 pages): [pdf]. ArXiv.
  8. Cusp volumes of alternating knots
    With Marc Lackenby.
    Geometry and Topology, Vol. 20 (2016), No. 4, 2053-2078.
    Preprint version (21 pages): [pdf]. ArXiv.
  9. Bi-twist manifolds and two-bridge knots
    With J. W. Cannon, W. J. Floyd, L. Lambert, W. R. Parry
    Pacific Journal of Mathematics, Vol. 284 (2016), No. 1, 1-39.
    Preprint version (28 pages): [pdf]. ArXiv.

  10. Density spectra for knots
    With Abhijit Champanerkar and Ilya Kofman.
    Journal of Knot Theory and its Ramifications, Vol. 25 (2016), no. 3, 164001, 11 pages.
    Preprint (8 pages): [pdf]. ArXiv.
  11. Volumes of Montesinos links
    With Kathleen Finlinson.
    Pacific Journal of Mathematics. Vol. 282 (2016), no. 1, 63-105.
    Preprint version (41 pages): [pdf]. ArXiv.
  12. Hyperbolic semi-adequate links
    With David Futer and Efstratia Kalfagianni.
    Communications in Analysis and Geometry. Vol. 23 (2015), no. 5, 993-1030.
    Preprint version (25 pages): [pdf]. ArXiv.

  13. Volume and geometry of homogeneously adequate knots
    With Paige Bartholomew, Shane McQuarrie, and Kai Weser.
    Journal of Knot Theory and its Ramifications, Vol. 24 (2015), no. 8, 1550044, 29 pages.
    Preprint version (26 pages):[pdf]. ArXiv.

  14. Geodesics and compression bodies
    With Marc Lackenby.
    Experimental Mathematics, Vol. 23 (2014), no. 2, 218-240.
    Preprint (31 pages): [pdf]. ArXiv.

  15. Geodesic systems of tunnels in hyperbolic 3-manifolds
    With Stephan D. Burton.
    Algebraic and Geometric Topology, Vol. 14 (2014), no. 2, 925-952.
    Preprint version (19 pages): [pdf]. ArXiv.

  16. Quasifuchsian state surfaces
    With David Futer and Efstratia Kalfagianni.
    Transactions of the American Mathematical Society, Vol. 366 (2014), no. 8, 4323-4343.
    Preprint version (21 pages): [pdf]. ArXiv.

  17. Jones polynomials, volume, and essential knot surfaces: a survey
    With David Futer and Efstratia Kalfagianni.
    Proceedings of Knots in Poland III, Banach Center Publications, Vol. 100 (2014), pages 51-77.
    Preprint version (27 pages): [pdf]. ArXiv.

  18. Dehn filling and the geometry of unknotting tunnels
    With Daryl Cooper and David Futer.
    Geometry and Topology, Vol. 17 (2013), no. 3, 1815-1876.
    Preprint version (45 pages): [pdf]. ArXiv.

  19. Explicit Dehn filling and Heegaard splittings
    With David Futer.
    Communications in Analysis and Geometry, Vol. 21 (2013), no. 3, 625-650.
    Preprint version (17 pages): [pdf]. ArXiv.

  20. Guts of surfaces and the colored Jones polynomial
    With David Futer and Efstratia Kalfagianni.
    Lecture Notes in Mathematics, Vol. 2069, Springer, Berlin, 2013.
    Preprint version (179 pages): [pdf]. ArXiv.

  21. Volumes of chain links
    With James Kaiser and Clint Rollins.
    Journal of Knot Theory and Its Ramifications, Vol. 21 (2012), No. 11, 1250115, 17 pp.
    Preprint version (14 pages): [pdf]. ArXiv.
    Computational code and data available here.

                  

  22. Volume bounds for generalized twisted torus links
    With Abhijit Champanerkar, David Futer, Ilya Kofman, and Walter Neumann.
    Mathematical Research Letters, Vol. 18 (2011), no. 6, 1097--1120.
    Preprint version (21 pages): [pdf]. ArXiv.

  23. An introduction to fully augmented links,
    Interactions between hyperbolic geometry, quantum topology, and number theory, Contemporary Mathematics, Vol 541, (2011), pp. 205--220.
    Preprint version (16 pages): [pdf].

  24. Slopes and colored Jones polynomials of adequate knots
    With D. Futer and E. Kalfagianni. Proceedings of the American Mathematical Society, Vol. 139 (2011), no. 5, pp. 1889-1896.
    Preprint version (7 pages): [pdf]. ArXiv.

  25. Geometric limits of knot complements
    With Juan Souto. Journal of Topology, Vol 3 (2010), no. 4, pp. 759-785.
    Preprint version (37 pages): [pdf]. ArXiv.

  26. Cusp areas of Farey manifolds and applications to knot theory
    With D. Futer and E. Kalfagianni. International Mathematics Research Notices, Vol 2010 (2010), no. 23, pp. 4434-4497.
    Preprint version (44 pages): [pdf]. ArXiv.

  27. On multiply twisted knots that are Seifert fibered or toroidal
    Communications in Analysis and Geometry. Vol 18 (2010), no. 2, pp. 219-256.
    Preprint version (32 pages): [pdf]. ArXiv.

  28. On diagrammatic bounds of knot volumes and spectral invariants
    With David Futer and Efstratia Kalfagianni. Geometriae Dedicata, Vol. 147 (2010), no. 1, pp. 115-130.
    Preprint version (16 pages): [pdf]. ArXiv.

  29. Hyperbolic geometry of multiply twisted knots
    Communications in Analysis and Geometry. Vol 18 (2010), no. 1, pp. 101-120.
    Preprint version (17 pages): [pdf]. ArXiv.

  30. The length of unknotting tunnels
    With Daryl Cooper and Marc Lackenby. Algebraic & Geometric Topology, Vol. 10 (2010) pp. 637-661.
    Preprint version (20 pages): [pdf]. ArXiv.

  31. Symmetric links and Conway sums: volume and Jones polynomial.
    With D. Futer and E. Kalfagianni. Mathematical Research Letters, Vol. 16 (2009), no. 2, pp. 233-253.
    Preprint version (18 pages): [pdf], ArXiv.

  32. Cusp shapes under cone deformation. Journal of Differential Geometry, Vol. 80 (2008), no. 3, pp. 453-500.
    Preprint version (46 pages): [pdf], ArXiv.

  33. Slope lengths and generalized augmented links.
    Communications in Analysis and Geometry
    , Vol. 16 (2008), no. 4, pp. 883-905.
    Preprint version (20 pages): [pdf], ArXiv.

  34. Dehn filling, volume, and the Jones polynomial.
    With D. Futer and E. Kalfagianni. Journal of Differential Geometry, Vol. 78 (2008), no. 3, pp. 429-464.
    Preprint version (34 pages): [pdf], ArXiv.

  35. Links with no exceptional surgeries. With David Futer. Commentarii Mathematici Helvetici, Vol. 8 (2007), no. 3, pp. 629-664.
    Preprint version (29 pages): [pdf], ArXiv.

  36. Volumes of highly twisted knots and links. Algebraic & Geometric Topology, Vol. 7 (2007), pp. 93-108.
    Preprint version (14 pages): [pdf], ArXiv.

Informal: Course notes, expository talks, etc.

  1. Hyperbolic Knot Theory.
    Notes from a graduate course I taught at BYU in winter 2010.
    I am converting these into a book; see Book.


Publications In Computer Science (as Jessica Shepherd)
  1. Riloff, E. and Shepherd, J., (1999) "A Corpus-Based Bootstrapping Algorithm for Semi-Automated Semantic Lexicon Construction", Journal of Natural Language Engineering , 1999, Vol. 5, No. 2, pp. 147-156.

  2. Riloff, E. and Shepherd, J. (1997) "A Corpus-Based Approach for Building Semantic Lexicons", Proceedings of the Second Conference on Empirical Methods in Natural Language Processing (EMNLP-2).