15 citations · 33 across the 7 of their papers we have counts for
10 papers
The Torelli Group and Euler Class Zero Representations
Marit Bobb, James Farre, Peter Smillie
We prove that every representation of a closed surface group of genus at least into that is sufficiently close (but not equal to) a representation…
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…
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…
Unstable minimal surfaces in symmetric spaces of non-compact type
Nathaniel Sagman, Peter Smillie
We prove that if is a closed surface of genus at least 3 and is a split real semisimple Lie group of rank at least acting faithfully by isometries on a symmetric space…
Completeness of convex entire surfaces in Minkowski 3-space
Francesco Bonsante, Andrea Seppi, Peter Smillie
We prove four results towards a description, in terms of the null support function, of the set of isometric embeddings of the hyperbolic plane into Minkowski 3-space. We show that…
Unstable minimal surfaces in and in products of hyperbolic surfaces
Vladimir Markovic, Nathaniel Sagman, Peter Smillie
We prove that every unstable equivariant minimal surface in produces a maximal representation of a surface group into toget…
Complete CMC hypersurfaces in Minkowski (n+1)-space
Francesco Bonsante, Andrea Seppi, Peter Smillie
We prove that any regular domain in Minkowski space is uniquely foliated by spacelike constant mean curvature (CMC) hypersurfaces. This completes the classification of entire space…
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…
On the bordification of outer space
Kai-Uwe Bux, Peter Smillie, Karen Vogtmann
We give a simple construction of an equivariant deformation retract of Outer space which is homeomorphic to the Bestvina-Feighn bordification. This results in a much easier proof t…
The number of convex tilings of the sphere by triangles, squares, or hexagons
Philip Engel, Peter Smillie
A tiling of the sphere by triangles, squares, or hexagons is convex if every vertex has at most 6, 4, or 3 polygons adjacent to it, respectively. Assigning an appropriate weight to…