16 citations · 66 across the 22 of their papers we have counts for
25 papers
Spinors and horospheres
Daniel V. Mathews
We give an explicit bijective correspondence between between nonzero pairs of complex numbers, which we regard as spinors or spin vectors, and horospheres in 3-dimensional hyperbol…
A symplectic basis for 3-manifold triangulations
Daniel V. Mathews, Jessica S. Purcell
In the 1980s, Neumann and Zagier introduced a symplectic vector space associated to an ideal triangulation of a cusped 3-manifold, such as a knot complement. We give a geometric in…
A-Polynomials of fillings of the Whitehead sister
Joshua A. Howie, Daniel V. Mathews, Jessica S. Purcell +1
Knots obtained by Dehn filling the Whitehead sister link include some of the smallest volume twisted torus knots. Here, using results on A-polynomials of Dehn fillings, we give for…
A-polynomials, Ptolemy equations and Dehn filling
Joshua A. Howie, Daniel V. Mathews, Jessica S. Purcell
The A-polynomial encodes hyperbolic geometric information on knots and related manifolds. Historically, it has been difficult to compute, and particularly difficult to determine A-…
Counting non-crossing permutations on surfaces of any genus
Norman Do, Jian He, Daniel V. Mathews
Given a surface with boundary and some points on its boundary, a polygon diagram is a way to connect those points as vertices of non-overlapping polygons on the surface. Such polyg…
The sensitivity conjecture, induced subgraphs of cubes, and Clifford algebras
Daniel V. Mathews
We give another version of Huang's proof that an induced subgraph of the n-dimensional cube graph containing over half the vertices has maximal degree at least , which im…