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PhD Studentship: Microlocal analysis and its applications in quantum resonances, partial differential equations with analytic or Gevrey regularity, and several complex variables

University of Birmingham

Sample personal statement
Funding
Fully funded
Level
PhD / Doctorate
Host
United Kingdom
Deadline
Oct 22, 2026
Field
Mathematics
Context

Microlocal analysis explores the classical/quantum correspondence in partial differential equations (PDEs). For example, the concept of symbol quantisation in the theory of pseudodifferential operators links classical observables (functions on phase space) with quantum operators. Microlocal analysis also provides essential tools to rigorously define, compute, and analyse resonances, which describe the oscillation and decay of waves in systems where energy can escape to infinity, replacing eigenvalues and eigenfu... Fully funded

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