Professor Maciej Zworski

email: zworski@math.berkeley.edu

Office: 801 Evans Hall

Office hours: by appointment

email: zworski@math.berkeley.edu

Office: 801 Evans Hall

Office hours: by appointment

Prerequisites:

Textbooks:

- Johannes Sjöstrand,
*Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations,*(available via UC Berkeley proxy) - Maciej Zworski
*Semiclassical Analysis,*(for some supplementary and background material -- relevant hand-outs will be available)### Syllabus:

- Spectral theory of non-self-adjoint operators; examples of spectral instability for linear and non-linear equations
- Random perturbations of first order semiclassical differential operators on the circle
- Detailed study of perturbations of Jordan block matrices
- Introduction to semiclassical analysis; quantum ergodicity for random perturbations
- Random perturbations of more general semiclassical operators