Papers, Preprints, and In preparation.



A Schur type theorem for Kahlerian manifolds, joint with Ravi Shankar and Ralf Spatzier , Preliminary report: needs substantial editing.

Manifolds with many hyperbolic planes, joint with Samuel Lin , To appear in Differential Geometry and its Applications.

Detecting the moments of inertia of a molecule via its rotational spectrum, II, joint with Craig Sutton , Under revision.

Three-manifolds with constant vector curvature one, joint with Jon Wolfson , To appear in Comptes Rendus Mathematique.

Real projective spaces with all geodesics closed, joint with Samuel Lin , To appear in Geometric and Functional Analysis.

Quasicircle boundaries and exotic almost isometries, joint with Jean Lafont and Wouter van Limbeek , To appear in Annales de lInstitut Fourier.

Three-manifolds with many flat planes, joint with Renato Bettiol , To appear in Transactions of the American Mathematical Society.

Positively curved manifolds with large spherical rank, joint with Ravi Shankar and Ralf Spatzier , Commentarii Mathematici Helvetici, 91 (2016), 219-251.

Rigidity of almost-isometric universal covers, joint with Aditi Kar and Jean Lafont , Indiana University Mathemtics Journal, 65 (2016), no.2, 585-613.

Complete curvature homogeneous metrics on SL(2,R), joint with Jon Wolfson , Pacific Journal of Mathematics, 273 (2015), no.2, 499-509.

Three-manifolds with constant vector curvature, joint with Jon Wolfson , Indiana University Mathematics Journal, 63 (2014), no.6, 1757-1783.

Positively curved manifolds with large conjugate radius, Journal of Topology and Analysis, 5 (2013), no. 3, 333-344.

Two remarks on the length spectrum of a Riemannian manifold, joint with Craig Sutton , Proceedings of the AMS, 139 (2011), 4113-4119.

Spherical points in Riemannian manifolds, Proceedings of the AMS, 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, Geometriae 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).