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.
Email: qswang at math dot utah dot edu
Topological Data Analysis
"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) [https://arxiv.org/abs/1603.07058 ]
"Extremal spherical polytopes and Borsuk's conjecture" With Mikhail Katz, and Facundo Mémoli [arXiv.:2301.13076, (2023)]
"Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes." With Henry Adams, Johnathan Bush, Nate Clause, Florian Frick, Mario Gómez, Michael Harrison, R. Amzi Jeffs, Evgeniya Lagoda, Sunhyuk Lim, Facundo Mémoli, Michael Moy, Nikola Sadovek, Matt Superdock, Daniel Vargas, Ling Zhou. [arXiv: 2301.00246, (2022)].
"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)].
Journals: "Annali della Scuola Normale Superiore di Pisa", "Neurocomputing"
Conferences: "Symposium on Computational Geometry" 2020, 2022, and 2023
Directed Reading Program at OSU (Spring 2022)
Mentee: Harrison Blake
Project: “On the Poincaré-Hopf Theorem”
Assistant of 2022 MRC Summer Conferences on "Data Science at the Crossroads of Analysis, Geometry, and Topology"