Mathematics is the music of reason. 

- James Joseph Sylvester (1814 – 1897)


The essence of mathematics lies entirely in its freedom.                              - Georg Cantor (1845  1918)



Theoretical/Geometric Fluid Mechanics

Differential Geometry

Continuum/Geometric Mechanics

Nonlinear Waves and Multisymplecticity

Geometric and Mimetic Numerical Analysis

Partial Differential Equations

Hamiltonian PDEs and Symplectic Geometry

Homotopy Analysis

Finite Volume Methods for Hyperbolic PDEs

Geophysical Fluid Dynamics

Sloshing Dynamics

Water Waves

Ocean Wave Energy Extraction