Papers and Preprints



On the singularities and radial injectivity of Riemannian exponential maps, joint with Keith Burns , In preparation.

CROSS blocked manifolds are Blaschke, joint with Keith Burns , In preparation.

Closed geodesics without proper chords, joint with Keith Burns , In preparation.



Three-manifolds with constant vector curvature, joint with Jon Wolfson , Submitted.

Positively curved manifolds with large conjugate radius, Submitted.



Two remarks on the length spectrum of a Riemannian manifold, joint with Craig Sutton , Proc. Amer. Math. Soc., 139 (2011), 4113-4119.

Spherical points in Riemannian manifolds, Proc. Amer. Math. Soc., 139 (2011), 305-308.

A characterization of round spheres in terms of blocking light, joint with Juan Souto , Commentarii Mathematici Helvetici, 85 (2010), 259-271.

The three gap theorem and Riemannian geometry, joint with Ian Biringer, Geometria Dedicata, 136 (2008), no.1, 175-190.

Maximal ball packings of symplectic-toric manifolds, joint with Alvaro Pelayo , International Mathematics Research Notices (2008) Vol. 2008, ID rnm139, 24 pgs.

Blocking light in compact Riemannian manifolds, joint with Jean Lafont , Geometry and Topology, 11 (2007), pgs.771-780.

On submanifolds in locally symmetric spaces of non-compact type, joint with Jean Lafont , Algebraic and Geometric Topology, 6 (2006), pgs.2455-2472.

Simplicial volume of closed locally symmetric spaces of non-compact type, joint with Jean Lafont , Acta Mathematica, 197 (2006), pgs.129-143.

Weakly hyperbolic actions of Kazhdan groups on tori, Geometric and Functional Analysis, 16 (2006), no. 5, pgs.1139-1156.



Blocking light in closed Riemannian manifolds, Guido's Book of Conjectures, Monographie de L'Enseignement Mathematique, 40 (2008), pgs. 165-167.

Weakly hyperbolic group actions , PhD thesis, University of Michigan (2006).