Proposed research topics include:

- Lagrangian and Legendrian singularities

- Asymptotic behaviour around caustics and wavefronts

- Symplectic singularities, local invariants

- Singular symplectic, contact and Poisson spaces

- Systems of rays, optical caustics

- Bifurcations of caustics and wavefronts

- Singularities of smooth maps and differential forms

- Motivic integration

- Subanalytic and semialgebraic sets - Lipschitz stratifications

- Lagrangian cobordism invariants

- Blow analytic equivalence

- Singular reduction, Hamiltonian systems and their generalizations

- Applications to physical systems and control theory

- Differential geometry and singularities

Hokkaido University

Warsaw University of Technology