# Jurgen K. Moser

Wolf Prize Laureate in Mathematics 1994/5

**Jurgen K. Moser**

#### Affiliation at the time of the award:

**Swiss Federal Institute of Technology (ETH), ****Switzerland**

#### Award citation:

**“for his fundamental work on stability in Hamiltonian and his profound and influential contributions to nonlinear differential equations”.**

#### Prize share:

**None**

Professor Jurgen K. Moser’s achievements include:

His role in the development of “KAM” (Kolmogorov-Arnold-Moser) theory. This celebrated theory describes the structure and stability of dynamical systems which are close to being completely integrable. It has shaped the modern theory of Hamiltonian mechanics and has wide applications in science.

His proof of the so called “Harnack inequality” in elliptic and parabolic differential equations, which has become a standard tool in nonlinear partial differential equations.

His fundamental works in analysis related to complex, symplectic and differential geometry, in particular the classification of local invariants of complex manifolds, nonlinear Sobolev inequalities, deformation techniques for symplectic structures and stability of foliations.