• Publications
  • Influence
Cylinder deformations in orbit closures of translation surfaces
Let M be a translation surface. We show that certain deformations of M supported on the set of all cylinders in a given direction remain in the GL(2,R)-orbit closure of M. Applications are givenExpand
  • 56
  • 6
  • PDF
The algebraic hull of the Kontsevich-Zorich cocycle
We compute the algebraic hull of the Kontsevich-Zorich cocycle over any GL^+_2(R) invariant subvariety of the Hodge bundle, and derive from this finiteness results on such subvarieties.
  • 22
  • 4
  • PDF
Ready for a Web OS?
A new generation of browsers may finally herald the long-awaited convergence of the Web and operating system.
  • 27
  • 3
  • PDF
Sums of adjoint orbits and L2-singular dichotomy for SU(m)
Abstract Let G be a real compact connected simple Lie group, and g its Lie algebra. We study the problem of determining, from root data, when a sum of adjoint orbits in g , or a product of conjugacyExpand
  • 10
  • 3
  • PDF
The touchy subject of haptics
After more than 20 years of research and development, are haptic interfaces finally getting ready to enter the computing mainstream?
  • 13
  • 2
  • PDF
Cubic curves and totally geodesic subvarieties of moduli space
In this paper we present the rst example of a primitive, totally geodesic subvariety F M g;n with dim(F ) > 1. The variety we consider is a surfaceF M 1;3 dened using the projective geometry of
  • 23
  • 2
  • PDF
Schwarz triangle mappings and Teichmüller curves: the Veech–Ward–Bouw–Möller curves
We study a family of Teichmüller curves $${\mathcal{T}\,(n,m)}$$ constructed by Bouw and Möller, and previously by Veech and Ward in the cases n = 2,3. We simplify the proof thatExpand
  • 27
  • 2
  • PDF
Schwarz triangle mappings and Teichm\"uller curves: abelian square-tiled surfaces
We consider normal covers of CP^1 with abelian deck group, branched over at most four points. Families of such covers yield arithmetic Teichm\"uller curves, whose period mapping may be describedExpand
  • 18
  • 2
  • PDF
The boundary of an affine invariant submanifold
We study the boundary of an affine invariant submanifold of a stratum of translation surfaces in a partial compactification consisting of all finite area Abelian differentials over nodal RiemannExpand
  • 24
  • 2
  • PDF
Get smart
Future generations of smartphones will be context aware, tracking your behavior, providing information about the immediate environment, and anticipating your intentions.
  • 82
  • 1
  • PDF