The Applied Analysis group at UCL Mathematics has a broad range of research interests in asymptotic-, functional-, complex- and stochastic analysis.

Much of our research concerns the analysis of linear and

nonlinear ordinary and partial differential and difference equations.

Our work is motivated by applications in fluid dynamics, wave

propagation, geophysics, medical imaging, relativity theory, finance,

industry, and social science. Within the group we have particular expertise in:

- high frequency wave propagation and scattering;
- homogenization;
- hybrid numerical-asymptotic methods;
- integrable systems;
- integral equations and operator theory;
- inverse problems;
- kinetic theory;
- mathematical fluid mechanics;
- Nevanlinna theory;
- Sobolev spaces on non-smooth domains;
- spectral theory;
- stochastic PDEs.

**Group members include:**

Prof Rod Halburd, Professor of Mathematics

Dr David Hewett, Lecturer in Applied Mathematics

Dr Ilia Kamotski, Reader in Mathematics

Prof Yaroslav Kurylev, Professor of Applied Mathematics

Prof Carlo Marinelli, Professor of Mathematics

Dr Lauri Oksanen, Reader in Mathematics

Prof Valery Smyshlyaev, Professor of Appllied Mathematics

Dr Ewelina Zatorska, Lecturer in Applied Mathematics