D. Futer, S.J. Taylor, and W. Worden, Random veering triangulations are not geometric, preprint


W. Worden, Experimental statistics of veering triangulations, to appear in Experimental Mathematics, arXiv:1710.01198

    supporting materials (code, data, etc)


C. Millichap and W. Worden, Hidden symmetries and commensurability of 2-bridge link complements. Pacific Journal of Mathematics, Vol. 285 (2016), No. 2, 453–484. DOI: 10.2140/pjm.2016.285.453; arXiv: 1601.01015 [math.GT]


W. Worden, Iterations of quadratic polynomials over finite fields. Involve, a Journal of Mathematics 6-1 (2013), 99-112. DOI: 10.2140/involve.2013.6.99; arXiv: 1201.4528 [math.NT]


Low-dimensional topology and hyperbolic geometry: commensurability of knots and links, triangulations of hyperbolic manifolds, and experimental mathematics. My research statement can be found here.


Research Interests:

Publications & Preprints:

Research Talks:

Veering triangulations: theory and experiment, Geometry and Topology Seminar, University of Sydney (March 2018)


Hidden symmetries and commensurability of 2-bridge link complements, Geometry/Topology Seminar, Rutgers - New Brunswick (April 2018)


Genericity of non-geometric veering triangulations, 2017-2018 Warwick EPSRC Symposium: Geometry, Topology, and Dynamics in Low Dimensions -- Computation in geometric topology, University of Warwick (December 2017) slides


Experimental statistics of veering triangulations, Geometry Topology Seminar, Georgia Tech (June 2017) slides; pre-talk slides


Hidden symmetries and commensurability of 2-bridge link complements, AMS Sectional Meeting: Special Session on Invariants in Low-Dimensional Topology, Hunter College. (May 2017)


Experimental statistics of veering triangulations, CUNY Geometry and Topology Seminar, CUNY Graduate Center. (April 2017) slides


Experimental statistics of veering triangulations, Geometry & Topology Seminar, Temple University. (February 2017)


Hidden symmetries and commensurability of 2-bridge link complements, Geometry Topology & Physics Seminar, University of Pittsburgh. (November 2016)


Hidden symmetries and commensurability of 2-bridge link complements, Redbud Triangulations Conference, Oklahoma State University. (November 2016)


Hidden symmetries and commensurability of 2-bridge link complements, Topology Student Workshop, Georgia Institute of Technology. (June 2016)


Hidden symmetries and commensurability of 2-bridge link complements, Binghamton University Graduate Conference in Algebra and Topology, SUNY Binghamton. (November 2015)


Iterations of quadratic polynomials over finite fields, Mid-Hudson Mathematics Conference for Undergraduates, Bard College. (October 2011)



Currently working on: Computing the Thurston norm unit ball of link complements  (joint w/ D. Cooper and S. Tillmann)

William Worden

Contact info:

Herman Brown Hall Rm 420

Rice University, MS-136

Department of Mathematics

1600 Main St.

Houston, TX 77251

william.worden@rice.edu