Research Interests

1. •Reduction theory for infinite dimensional mechanical systems.
   

2. •Application to complex fluids (e.g. liquid crystals and superfluid) and imaging.
   

3. •Global analysis, diffeomorphism groups and application to PDE's.
   

4. •The geometry of the universal Teichmüller space and the Euler-Weil-Petersson equation.
   

5. •Symmetries in field theories