Jessica Purcell: Papers

Publications and preprints are also available on ArXiv.

Publications

  1. Volumes of highly twisted knots and links. Algebraic & Geometric Topology. 7 (2007) 93-108.
    Preprint version: [ps], [pdf], ArXiv.

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

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

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

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

  6. Symmetric links and Conway sums: volume and Jones polynomial
    With D. Futer and E. Kalfagianni. Mathematical Research Letters. Vol 16, no. 2, (2009) 233-253.
    Preprint version: [pdf], ArXiv.
Preprints
  1. Geometric limits of knot complements
    With Juan Souto. Preprint (37 pages): [ps], [pdf]. ArXiv.

  2. On diagrammatic bounds of knot volumes and spectral invariants
    With David Futer and Efstratia Kalfagianni. Preprint (16 pages): [ps], [pdf]. ArXiv.

  3. The length of unknotting tunnels
    With Daryl Cooper and Marc Lackenby. Preprint (20 pages): [ps], [pdf]. ArXiv.

  4. Cusp areas of Farey manifolds and applications to knot theory
    With D. Futer and E. Kalfagianni. Preprint (40 pages): [pdf]. (Aug 2009). ArXiv.

  5. Hyperbolic geometry of multiply twisted knots
    Preprint (16 pages): [pdf]. ArXiv.

  6. On multiply twisted knots that are Seifert fibered or toroidal
    Preprint (33 pages): [pdf]. ArXiv.
In Preparation
  1. Geodesic arcs in compression bodies. With Marc Lackenby.
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. [pdf]

  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) . [pdf]