William Worden Home Research Teaching CV

About me:

I am currently an Assistant Professor of Mathematics at Holy Family University. I received my PhD in 2018 from Temple University, under the guidance of Dave Futer, then spent four years as a G.C. Evans Instructor of Mathematics at Rice University before coming to Holy Family. My research interests include hyperbolic 3-manifolds & their triangulations, commensurability of 3-manifolds, and experimental and computational mathematics. I am also interested 3D modeling and printing and their applications to teaching and visualizing mathematics. I live with my partner of 21 years in Havertown, PA. We have an amazing cat named Shorty.

Email :

wworden@holyfamily.edu

Address :

Holy Family Hall Rm 408B
Holy Family University
School of Arts and Sciences
9801 Frankford Ave.
Philadelphia, PA 19114

About me:

I am currently an Assistant Professor of Mathematics at Holy Family University. I received my PhD in 2018 from Temple University, under the guidance of Dave Futer, then spent four years as a G.C. Evans Instructor of Mathematics at Rice University before I came to Holy Family. My research interests include hyperbolic 3-manifolds & their triangulations, commensurability of 3-manifolds, and experimental and computational mathematics. I am also interested 3D modeling and printing and their applications to teaching and visualizing mathematics. I live with my partner of 21 years in Houston, TX. We have an amazing cat named Shorty

Currently Teaching:

Math 110 - Quantitative Literacy

Math 150 - College Algebra and Trig

Math 150HNRS - Honors College Algebra and Trig

Math 303 - Modern Geometry

Upcoming Events/Talks:

Publications & preprints:

D. Cooper, S. Tillmann, and W. Worden, The Thurston norm via spun normal surfaces. preprint via arXiv:https://arxiv.org/abs/2109.04498


E. Chesebro, J Deblois, N. Hoffman, C. Millichap, P. Mondal, and W. Worden, Dehn surgery and hyperbolic knot complements without hidden symmetries. To appear in International Mathematics Research Notices. preprint via arXiv:https://arxiv.org/abs/2009.14765


N. Hoffman, C. Millichap, and W. Worden, Symmetries and hidden symmetries of (ε,dL)-twisted knot complements. Algebraic & Geometric Topology 22-2 (2022), 601--656. DOI 10.2140/agt.2022.22.601. preprint via arXiv:https://arxiv.org/abs/1909.10571


W. Worden, Small knots of large Heegaard genus. to appear in Communications in Analysis and Geometry. preprint via arXiv:https://arxiv.org/abs/1907.06820


D. Futer, S.J. Taylor, and W. Worden, Random veering triangulations are not geometric. Group, Geometry, and Dynamics, Vol. 14 (2020) No. 3, 1077--1126. arXiv:https://arxiv.org/abs/1808.05586


W. Worden, Experimental statistics of veering triangulations. Experimental Mathematics, Vol. 29 (2020) No. 1, 101--122. DOI:10.1080/10586458.2018.1437850.


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. arXiv:https://arxiv.org/abs/1601.01015


W. Worden, Iterations of quadratic polynomials over finite fields. Involve, a Journal of Mathematics, Vol. 6 (2013) No. 1, 99--112. DOI:10.2140/involve.2013.6.99.