General information

I am interested in rigidity phenomena in geometry and topology, a topic that lies on the intersection of geometric topology, differential geometry, theory of Lie groups and algebraic groups, dynamics and ergodic theory, and metric geometry.

Papers

My papers are available on the arXiv.

7. The fundamental theorem of affine geometry on tori (2016, 23 pages)
Joint with Jacob Shulkin
To appear in New York J. Math.

6. Towers of regular self-covers and linear endomorphisms of tori (2016, 28 pages)

5. Rigidity of convex divisible domains in flag manifolds (2015, 48 pages)
Joint with Andrew Zimmer

4. Quasicircle boundaries and exotic almost-isometries (2014, 18 pages)
Joint with Jean-Fran├žois Lafont and Benjamin Schmidt
To appear in Ann. Inst. Fourier
Warning: The published version is substantially different because it does not include Section 3.

3. Isometry types of frame bundles (2015, 25 pages)
To appear in Pacific J. Math.

2. Symmetry gaps in Riemannian geometry and minimal orbifolds (2014, 29 pages)
To appear in J. Diff. Geom.

1. Riemannian manifolds with local symmetry (2014, 26 pages)
J. Topol. Anal. (2014), vol. 6, no. 2, 211-236,
doi: 10.1142/S179352531450006X