Research

Activities

(with Glynn-Adey, P.) “Subdividing Three Dimensional Riemnannian Disks.” Journal of Topology and Analysis, 9, No.3 (2017): 533-550.
(with Wu. N) “An upperbound for the smallest area of a minimal surface in manifolds of dimension four.” Journal of Geometric Analysis (2017): 1-28.
“Geometric Inequalities on Riemannian Manifolds”, Ph.D thesis.
(with D’Alessandro. D. and Sheller, B.) “Time-optimal control of quantum lambda systems in the KP configuration.” Journal of Mathematical Physics, 61, 052107 (2020).
(with Wu. N) “Length of a shortest closed geodesic in manifolds of dimension four.” J. Differential Geom. 122(3), 2022: 519-564.
(with D’Alessandro. D.) “A different look at the optimal control of the Brockett integrator”, International Journal of Control, 96(1), 2023:191-200.
“Length of closed geodesics on Riemannian manifolds with good covers.” arXiv:2412.01161.

2015.9 Geometry and Topology Seminar, University of Toronto, Toronto, CA
2018.4 Differential Geometry-Mathematical Physics-PDE Seminar, University of British Columbia, Vancouver, BC, CA
2018.10 Geometry-Analysis Seminar, Rice University, Houston, TX, US
2019.2 Geometry and Algebra Seminar, Iowa State University, Ames, IA, US
2019.11 Differential Geometry Seminar, UCSB, Santa-Barbara, CA, US
2021.7 Geometric Analysis Seminar, University of Toronto, Toronto, CA (Online)
2021.11 Colloquium talk, Academy of Mathematics and Systems Science (CAS), Beijing, CN
2022.5 Colloquium talk, CAS, Beijing, CN (Online)
2022.12 Seminar talk, Frontiers in Mathematical Science, Tsinghua-Sanya Forum, Sanya, CN
2023.2 YMSC Topology seminar, Tsinghua University, Beijing, CN
2023.4 Geometry seminar, University of Copenhagen, Copenhagen, DK (Online)