Research

Preprints

• "Some results about the Tight Span of spheres." with Sunhyuk Lim, Facundo Mémoli, Zhengchao Wan, and Ling Zhou.[arXiv:2112.12646 (2021)]

• "Metric Graph Approximations of Geodesic Spaces." with Facundo Mémoli, and Osman Okutan, [arXiv:1809.05566 (2021)].

Publications:

• "The Persistent Topology of Optimal Transport Based Metric Thickenings."  with Henry Adams, Facundo Mémoli, and Michael Moy, [Accepted to appear in Algebraic & Geometric Topology (2022).  arXiv:2109.15061 (2021)].

•  "Manifolds with Positive Orthogonal Ricci Curvature." with Lei Ni and Fangyang Zheng, American Journal of Mathematics 143.3 (2021): 833-857.

• "On Bismut Flat Manifolds." with Bo Yang and Fangyang Zheng, Transactions of the American Mathematical Society 373 (8), 5747-5772 (2020)