1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.CO2022
A Positive Answer to Bárány's Question on Face Numbers of Polytopes
Joshua Hinman
Despite a full characterization of the face vectors of simple and simplicial polytopes, the face numbers of general polytopes are poorly understood. Around 1997, Bárány asked wheth…
math.DG2019★ 1 cited
Minimizing closed geodesics on polygons and disks
Ian Adelstein, Arthur Azvolinsky, Joshua Hinman +1
In this paper we study 1/k geodesics, those closed geodesics that minimize on all subintervals of length , where is the length of the geodesic. We develop new techniques t…
math.NT2017★ 1 cited
The Unreasonable Rigidity of Ulam Sets
Joshua Hinman, Borys Kuca, Alexander Schlesinger +1
We give a number of results about families of Ulam sets. Generalizing behavior of Ulam sets U(1,n), we prove using an novel model theoretic approach that there is a rigidity phenom…