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Ruoyu P. T. Wang

Gibbs Assistant Professor
Dept. of Mathematics
Yale University

I (Ruoyu/Ro) 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.

My email address is . My office is Kline Tower 931.

Editorial requests for quick opinions and referee reports are welcomed.

Visits:

Publications:

[9]new Scattering for the Dirichlet-to-Neumann map and the Steklov spectrum
Preprint (2026), with Jeffrey Galkowski and Marcello Malagutti.

[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 2025/12.]

[4] Sharp polynomial decay for polynomially singular damping on the torus
Ann. PDE (2026), with Perry Kleinhenz.
[normally \(L^p\), semiclassical Morawetz vector field, backward uniqueness]

[1] Exponential decay for damped Klein-Gordon equations on asymptotically cylindrical and conic manifolds
Ann. Inst. Fourier (Grenoble) (2024).
[multiple-weight Carleman estimates, geometric control, noncompact manifolds]

[10]new Lower bounds on Steklov eigenfunctions for a class of curvilinear polygons
Preprint (2026), with Jeffrey Galkowski.
[AI-assisted]

Control, observation and stabilization of PDE:

[8] Hölder damping for fractional wave equations
Preprint (2025), with Jian Wang.
[Fractional wave equation]

[7] Weakly elliptic damping gives sharp decay
C. R. Math. (2025), with Lassi Paunonen and Nicolas Vanspranghe.
[Weak ellipticity, degenerate damping]

[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]

[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]

Papers meaningfully assisted by AI, significantly modified, clarified, simplified and fully written by human, are labelled as “AI-assisted” above.

Teaching:

I am teaching MATH 1150: Calculus of Functions of One Variable II in Fall 2026.

External resources: