research

PUBLISHED & ACCEPTED

• Abelian subgroups of the fundamental group of a space with no conjugate points, Groups Geom. Dyn. 15 (2021), no. 2, pp. 683-690.

• Energy-minimizing maps from manifolds with nonnegative Ricci curvature, Commun. Contemp. Math. 23 (2021), no. 3, 20 pp.

• Central splitting of manifolds with no conjugate points, Pacific J. Math. 306 (2020), no. 1, pp. 95-114.

• Totally geodesic maps into manifolds with no focal points, Bull. London Math. Soc. 51 (2019), no. 3, pp. 443-458.

• The convexity radius of a Riemannian manifold, Asian J. Math. 21 (2017), no. 1, pp. 169-174.

IN PREPARATION

• Heat flow within convex sets, arXiv:1412.0347

• (with Shicheng Xu) The continuity of geometric radiuses

• Distortion from spheres into Euclidean space