Dr Arick Shao
Reader in Mathematics
Email: a.shao@qmul.ac.ukTelephone: +44 (0)20 7882 8511Room Number: Mathematical Sciences Building, Room: MB-513Website: http://www.maths.qmul.ac.uk/~shao/Office Hours: Friday 11:30-12:30 Other times by e-mail appointments.
Profile
Arick Shao is a Reader in Mathematics at the School of Mathematical Sciences, and he is a member of the Geometry and Analysis research group. His primary research interests lie in partial differential equations, mathematical analysis, differential geometry, and mathematical relativity.
Prior to joining Queen Mary University of London, Dr. Shao was a Research Associate at Imperial College London and a Postdoctoral Fellow at the University of Toronto. He holds a PhD in Mathematics from Princeton University.
Research
Research Interests:
Partial differential equations (wave equations, hyperbolic PDE, dispersive PDE, geometric PDE), analysis, mathematical relativity, differential geometry
Publications
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(2024). Approximate boundary controllability for parabolic equations with inverse square infinite potential wells Nonlinear Analysis nameOfConference.
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(2024). Control of waves on Lorentzian manifolds with curvature bounds ESAIM Control Optimisation and Calculus of Variations nameOfConference.
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(2024). Bulk-Boundary Correspondences and Unique Continuation in Asymptotically Anti-de Sitter Spacetimes journal nameOfConference.
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(2024). On counterexamples to unique continuation for critically singular wave equations Journal of Differential Equations nameOfConference.
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(2024). Control of Parabolic Equations with Inverse Square Infinite Potential Wells journal nameOfConference.
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(2023). The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes Archive for Rational Mechanics and Analysis nameOfConference.
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(2022). Global stability of traveling waves for (1 + 1)-dimensional systems of quasilinear wave equations Journal of Hyperbolic Differential Equations nameOfConference.
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(2022). A gauge-invariant unique continuation criterion for waves in asymptotically Anti-de Sitter spacetimes Communications in Mathematical Physics nameOfConference.
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(2021). Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials Journal of the European Mathematical Society nameOfConference.
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(publicationYear). Null geodesics and improved unique continuation for waves in asymptotically Anti-de Sitter spacetimes Classical and Quantum Gravity nameOfConference.