I am a Research Fellow at University College London.

My works are in the analysis of PDE. I specialise in microlocal and semiclassical analysis, spectral and scattering theory, control theory, and quantum dynamics.

Here is my curriculum vitae. I was a student of Jared Wunsch. I am mentored by Jeffrey Galkowski.

I am not teaching in 2023–2024.

My email address is ruoyu.protect..wang@.protect.ucl.ac.protect..uk. My office is Room 600, 25 Gordon St..

Visits:

Northwestern, 10/2–10.
University of Chicago, 10/9.
UNC Chapel Hill, 10/11–13.
Problèmes Spectraux en Physique Mathématique, Inst. Henri Poincaré, 11/13.
Joint Mathematics Meetings, San Francisco, 24/01.
Tampere, Finland, 24/01.
Université Paris–Saclay, Orsay, 24/05/20–24.
Microlocal Analysis and Quantum Dynamics, Northwestern, 24/06/24–28.

Publications:

[5] Control estimates for 0th order pseudodifferential operators (with Hans Christianson and Jian Wang). Under revision (2023) for Int. Math. Res. Not. IMRN.
[Morse–Smale, limiting absorption principle, radial point estimates]

[4] Sharp polynomial decay for polynomially singular damping on the torus (with Perry Kleinhenz). Preprint (2023).
[normally \(L^p\), semiclassical Morawetz vector field, backward uniqueness]

[3] Stabilisation of waves on product manifolds by boundary strips. Proc. Amer. Math. Soc., to appear (2022).
[transverse-to-product resolvent, transverse propagation estimate]

[2] Sharp polynomial decay for waves damped from the boundary in cylindrical waveguides. Math. Res. Lett., to appear (2022).
[Morawetz vector field, quasimodes via special functions]

[1] Exponential decay for damped Klein-Gordon equations on asymptotically cylindrical and conic manifolds. Ann. Inst. Fourier (Grenoble), to appear (2022).
[multiple-weight Carleman estimates, unique continuation and geometric control on noncompact manifolds]

Teaching:

I am not teaching in 2023–2024.