Integrable structures of dispersionless systems and differential   geometry
  We develop the theory of Whitham type hierarchies integrable by hydrodynamic reductions as a theory of certain differential-geometric objects. As an application we construct Gibbons-Tsarev systems associated to moduli space of algebraic curves of arbitrary genus and prove that the universal Whitham hierarchy is integrable by hydrodynamic reductions. 
Alexander Odesskii
nlin.SI math-ph math.MP