Yutong Wu
Office: Kline Tower 935, Yale University
Email: yutong dot wu dot yw894 at yale dot edu
I am a third year graduate student in the Department of Mathematics at Yale University. My advisor is Prof. Wilhelm Schlag. Before coming to Yale, I received my bachelor's degree in Mathematics from Peking University.
My research interests lie in partial differential equations, with particular focuses on multisoliton solutions and blow-up dynamics in dispersive equations.
Here is my CV.
Upcoming events
Papers
Long-time orbital stability of two-soliton solutions of the Hartree equation with elliptic trajectories, arXiv:2607.01806. [pdf]
On soliton clusters and collision blow up for the L^2-critical Hartree equation, with Tobias Schmid, arXiv:2606.30640. [pdf]
Expansive solutions with prescribed asymptotics of the classical N-body problem, arXiv:2606.11509. [pdf]
Multisoliton solutions and blow up for the L^2-critical Hartree equation, with Jaime Gómez and Tobias Schmid, Arch. Ration. Mech. Anal, 250 (2026), 79. [pdf]
Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions, Trans. Amer. Math. Soc. 379 (2026), 2405-2440. [pdf]
Talks
Recent Developments in the Dynamics of Nonlinear PDEs, ICM Satellite Conference in PNW, University of Washington, Seattle, WA, 2026.08
PDE Seminar, Wuhan University, Wuhan, Hubei, 2026.05
Analysis and PDE Seminar, Peking University, Beijing, 2026.05
Recent Developments in Dynamics of Nonlinear Dispersive Equations, AMS Central Sectional Meeting Special Session, North Dakota University, Fargo, ND, 2026.04
PDE Seminar, Georgia Institution of Technology, Atlanta, GA, 2026.03
Math Physics Seminar, Georgia Southern University, Statesboro, GA, 2026.03
Workshop in PDE and Applied Math in the Northeast Region, University of Connecticut, Storrs, CT, 2026.03
Recent Advances in Harmonic Analysis and Partial Differential Equations (poster), Baylor University, Waco, TX, 2025.05
The AMS New England Graduate Conference, Brown University, Providence, RI, 2025.04
Spectral Analysis of Schrodinger Operators (poster), ICERM, Providence, RI, 2024.08
International Congress of Basic Science (ICBS) (poster), BIMSA, Beijing, 2024.07
Brown-Yale PDE Seminar, Brown University, Providence, RI, 2024.05