Susan Williams

Susan Williams

Professor Emerita
Department of Math and Statistics


  • symbolic dynamical systems
  • knot theory.

In recent years I have mainly been investigating applications of the former to the latter. You can read about symbolic dynamics in this Scholarpedia article.

Recent Publications

  • (with Daniel Silver) Lehmer's question, graph complexity growth and links, New York J. Math. 27 (2021), 981–1008.

  • (with Daniel Silver)) Group presentations for links in thickened surfaces, J. Knot Theory Ramifications 30 (2021), no. 3, 2150022, 19 pp.

  • (with Daniel Silver)) Persistent invariants of tangles, Chapter 14 of Encyclopedia of Knot Theory, (eds. C. Adams, E. Flapan, A. Henrich, L. Kaufman, L. Ludwig, S. Nelson), Routledge, 2020.

  • (with Daniel Silver) Links in surfaces and Laplacian modules, J. Knot Theory Ramifications 29 (2020).

  • (with Lorenzo Traldi and Daniel Silver) Goeritz and Seifert matrices from Dehn presentations, Osaka J. Math. 57 (2020), no. 3, 663–677.

  • (with Daniel Silver) Tangles and links: A view with trees, Journal of Knot Theory and its Ramifications 27 (2018), no. 12, 1850061, 7 pp.

  • (with Stefan Friedl and Daniel Silver) The Turaev and Thurston norms, Pacific Journal of Mathematics 284 (2016), no. 2, 365-382.

  • (with Kalyn Lamey and Daniel Silver) Vertex-colored graphs, bicycle spaces and Mahler measure, J. Knot Theory and its Ramifications 25 (2016), 1650033 (22 pages).

  • (with Daniel Silver) On the component number of links from plane graphs, J. Knot Theory and its Ramifications 24 (2015), 1520002 (6 pages).

  • (with Stefan Friedl and Daniel Silver) Splittings of knot groups. Mathematische Annalen 362 (2015), 401-424.

  • (with J. Scott Carter and Daniel Silver) Invariants of links in thickened surfaces, Algebraic & Geometric Topology 14 (2014), 1377-1394.

  • (with J. Scott Carter and Daniel Silver) Three dimensions of knot coloring, Amer. Math. Monthly 121 (2014), 506-514.

To request a reprint or preprint, send me an e-mail.  Papers dating from the current century are also available on arXiv.

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