I am currently a Wiley Research Assistant Professor (postdoc) in the Mathematics department of the University of Utah. My mentor is Prof. Bao Wang.
I received my Ph.D. in math from The Ohio State University under the supervision of Prof. Facundo Mémoli.
In the early stages of my Ph.D., I studied complex geometry under the supervision of Prof. Fangyang Zheng.
Email: qswang at math dot utah dot edu
Topological Data Analysis
"It begins with a boundary: A geometric view on probabilistically robust learning"
L Bungert, NG Trillos, M Jacobs, D McKenzie, Đ Nikolić, Q Wang
arXiv preprint arXiv:2305.18779
"Implicit Graph Neural Networks: A Monotone Operator Viewpoint" Justin Baker*, Qingsong Wang*, Cory D Hauck, and Bao Wang, [International Conference on Machine Learning (ICML 2023).]
“Momentum Ensures Convergence of SIGNSGD under Weaker Assumptions” Tao Sun*, Qingsong Wang*, Dongsheng Li, and Bao Wang, [International Conference on Machine Learning (ICML 2023).]
"The Persistent Topology of Optimal Transport Based Metric Thickenings." Henry Adams, Facundo Mémoli, Michael Moy, and Qingsong Wang, [To appear in Algebraic & Geometric Topology (2022). arXiv:2109.15061 ].
"Manifolds with Positive Orthogonal Ricci Curvature." Lei Ni, Qingsong Wang, and Fangyang Zheng, American Journal of Mathematics 143.3 (2021): 833-857. arXiv:1806.10233
"On Bismut Flat Manifolds." Qingsong Wang, Bo Yang, and Fangyang Zheng, Transactions of the American Mathematical Society 373 (8), 5747-5772 (2020) [https://arXivorg/abs/1603.07058 ]
"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, Qingsong Wang, and Ling Zhou. [arXiv: 2301.00246, (2022)].