*Determining isotopy classes of crossing arcs in alternating links*, to appear in Asian Journal of Mathematics,

*The number of incompressible surfaces in an alternating link complement,*with J. Hass and A. Thompson, International Mathematics Research Notices 6 (2017), 1611-1622, ArXiv

*Simplicial volume of links from link diagrams*, with O. Dasbach, to appear in Mathematical Proceedings of Cambridge Philosophical Society, Arxiv

*Intercusp parameters and the invariant trace field,*with W. Neumann, Proceedings of the American Mathematical Society 14 (2016), No. 2, 887-896, ArXiv

*A refined upper bound for the hyperbolic volume of alternating links and the colored Jones polynomial,*with O. Dasbach, Mathematical Research Letters 22 (2015), No. 4, 1047-1060, ArXiv

*Exact volume of hyperbolic 2-bridge links*, Communications in Analysis and Geometry 22 (2014), No. 5, 881-896, ArXiv

*An alternative approach to hyperbolic structures on link complements,*with M. Thistlethwaite, Algebraic & Geometric Topology 14 (2014), 1307-1337, ArXiv

*Hyperbolic Structures from Link Diagrams*, Ph.D. Thesis, Unversity of Tennessee (2012),*pdf*

*Decomposition Of Cellular Balleans,*with I. V. Protasov, Topology Proceedings 36 (2010), 77-83, ArXiv

*Asymptotic Rays,*with O. Kuchaiev, International Journal of Pure Appl. Math. 56, no. 3 (2009), 353-358, ArXiv

Implementation of the alternative method for computing hyperbolic structures of links. Windows version, currently written for alternating links with small regions only (written in C++).

Mathematica worksheet constructing the polynomial for the invariant trace field of a hyperbolic 2-bridge link.

- GEAR seminar at Rutgers University, Newark, 1/2017,
*"The number of surfaces of fixed genus in an alternating link complement"*video

- Redbud Triangulations conference, Oklahoma State University, 11/2016,
*"Isotopy classes of crossing arcs in alternating links"*slides

- The Thin Manifold conference, University of Iowa, 08/2014,
*"Intrinsic geometry and the invariant trace field of hyperbolic 3-manifolds"*slides

- Women Advancing Arizona Mathematics Colloquium, University of Arizona, 03/2014,
*"Hyperbolic links: diagrams, volume and the colored Jones polynomial"*slides

- Low dimensional topology, knots, and orderable groups, Luminy-Marseille, France, 07/2013,
*"Exact volume of hyperbolic 2-bridge links"*slides

- GEAR Network Retreat, University of Illinois, Urbana-Champaign, 08/2012,
*"Hyperbolic structures from link diagrams"*video

- Moab Topology Conference, Utah State University, 05/2012,
*"An alternative approach to hyperbolic structures on link complements"*slides