Qingsong Wang

I am currently a Wiley Research Assistant Professor (postdoc) in the Mathematics department of the University of Utah. My mentor is Bao Wang.

I received my Ph.D. in math from The Ohio State University under the supervision of Facundo Mémoli.

Research Interests:

  • Topological Data Analysis

  • Machine Learning

  • Metric Geometry

  • Differential Geometry

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. (https://arxiv.org/abs/1806.10233 )

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

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)].

Services:

  • Review:

  • Journals: "Neurocomputing"

  • Conferences: "Symposium on Computational Geometry" 2020 and 2022,

  • Mentoring:

  • Others: