I am a Gibbs Assistant Professor at Yale University. I am also an Honorary Research Fellow at University College London.

My works are in the pure and applied analysis of PDE. I specialise in microlocal and semiclassical analysis. I am interested in problems from spectral and scattering theory, mathematical physics, control theory and dynamical systems.

Here is my curriculum vitae. I was a student of Jared Wunsch.

I am teaching MATH 110 in Fall 2024.

My email address is ruoyu**.protect.**.wang@**.protect.**yale.e**.protect.**du. My office is Kline Tower 931.

Editorial requests for quick opinions and referee reports are welcomed.

- Spectral Analysis of Schrödinger Operators, ICERM, Brown, 08/19–23.
- IHÉS, Paris-Saclay, 11/20–12/02.

[7] Weakly elliptic damping gives sharp decay

Submitted (from 2024/03), with Lassi Paunonen and Nicolas Vanspranghe.

[Weak ellipticity, degenerate damping]

[6] Optimal backward uniqueness and polynomial stability of second order equations with unbounded damping

Preprint (2023), with Perry Kleinhenz.

[First half of the manuscript. Updates with new tools expected by 2024/09.]

[5] Control estimates for 0th order pseudodifferential operators

*Int. Math. Res. Not. IMRN* (2024), with Hans Christianson and Jian Wang.

[Morse–Smale, limiting absorption principle, radial point estimates]

[4] Sharp polynomial decay for polynomially singular damping on the torus

Submitted (from 2023/05), with Perry Kleinhenz.

[normally \(L^p\), semiclassical Morawetz vector field, backward uniqueness]

[3] Stabilisation of waves on product manifolds by boundary strips

*Proc. Amer. Math. Soc.* (2024).

[transverse-to-product resolvent, transverse propagation estimate]

[2] Sharp polynomial decay for waves damped from the boundary in cylindrical waveguides

*Math. Res. Lett.* (2023).

[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)*, published online.

[multiple-weight Carleman estimates, geometric control, noncompact manifolds]

I am teaching MATH 110: Introduction to Functions and Calculus I in 2024/08–12. My office hours will be announced.