2 citations · 2 across the 5 of their papers we have counts for
12 papers
Handlebodies, Outer space, and tropical geometry
Rohini Ramadas, Rob Silversmith, Karen Vogtmann +1
The moduli space of graphs is a polyhedral object that mimics the behavior of the moduli spaces , of (stable) Riemann surfac…
Transitivity of the pure Hurwitz classes of quadratic post-critically finite polynomials
Yvon Verberne, Rebecca R. Winarski
We prove that for two post-critically finite quadratic polynomials , there is a mapping class of the sphere with finitely many marked points such that and are pur…
Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem
James Belk, Dan Margalit, Rebecca R. Winarski
We give a unified and self-contained proof of the Nielsen-Thurston classification theorem from the theory of mapping class groups and Thurston's characterization of rational maps f…
Twisting cubic rabbits
Justin Lanier, Rebecca R. Winarski
We solve an infinite family of twisted polynomial problems that are cubic generalizations of Hubbard's twisted rabbit problem. We show how the result of twisting by a power of a ce…
A solution to the degree-d twisted rabbit problem
Malavika Mukundan, Rebecca R. Winarski
We solve generalizations of Hubbard's twisted rabbit problem for analogues of the rabbit polynomial of degree . The twisted rabbit problem asks: when a certain quadratic p…
Pseudo-Anosov homeomorphisms of punctured non-orientable surfaces with small stretch factor
Sayantan Khan, Caleb Partin, Rebecca R. Winarski
We prove that in the non-orientable setting, the minimal stretch factor of a pseudo-Anosov homeomorphism of a surface of genus with a fixed number of punctures is asymptoticall…