3 papers
math.DS2023
Horospherical dynamics in invariant subvarieties
John Smillie, Peter Smillie, Barak Weiss +1
We consider the horospherical foliation on any invariant subvariety in the moduli space of translation surfaces. This foliation can be described dynamically as the strong unstable…
math.GT2023
Exact enumeration of fullerenes
Philip Engel, Jan Goedgebeur, Peter Smillie
A fullerene, or buckyball, is a trivalent graph on the sphere with only pentagonal and hexagonal faces. Building on ideas of Thurston, we use modular forms to give an exact formula…
math.DG2018
Entire surfaces of constant curvature in Minkowski 3-space
Francesco Bonsante, Andrea Seppi, Peter Smillie
This paper concerns the global theory of properly embedded spacelike surfaces in three-dimensional Minkowski space in relation to their Gaussian curvature. We prove that every regu…