The prize is awarded for a mathematical monograph of an expository nature presenting the latest developments in an active area of research in Mathematics, in which the author has made important contributions. The prize, amounting to 12,000 euros, is provided by the

**1992** Alexander Lubotzky for the monograph:

*Discrete Groups, Expanding Graphs and Invariant Measures.*

**1993** Klaus Schmidt for the monograph:

*Dynamical Systems of Algebraic Origin. *

**1994** The scientific committee decided not to award the prize

**1995** As from this year prizes will bear the year they are awarded, rather than the year they were announced.

**1996** V Kumar Murty and M Ram Murty for the monograph:

*Non-Vanishing of L-Functions and Applications.*

**1997** A Böttcher, T U Chemnitz and Y I Karlovich for the monograph:

*Carleson Curves, Munchenhoupt Weights, and Toeplitz Operators.*

**1998** Juan J Morales-Ruiz for the monograph:

*Differential Galois Theory and Non-integrability of Hamiltonian Systems.*

**1999** Patrick Dehornoy for the monograph:

*Braids and Self-Distributivity. *

**2000** Juan-Pablo Ortega and Tudor Ratiu for the monograph:

*Hamiltonian Singular Reduction *

**2001** Martin Golubitsky and Ian Stewart for the monograph:

*The Symmetry Perspective*

**2002** Alexander Lubotzky and Dan Segal for the monograph:

*Subgroup Growth *

**2002** AndrŽ Unterberger for the monograph:

Automorphic Pseudodifferential Analysis and Higher-level Weyl Calculi

**2003** Fuensanta Andreu-Vaillo and José M Mazón for the monograph:

*Parabolic Quasilinear Equations Minimizing Linear Growth Functionals *

**2004** Guy David for the monograph:

*Singular sets of minimizers for the Mumford-Shah functional *

**2005** Antonio Ambrosetti, and Andrea Malchiodi for the monograph:

*Perturbation Methods and Semiliniar Elliptic Problems on Rn*

**2005** José Seade for the monograph:

*On the topology of isolated singularities in analytic spaces *

**2006** Xiaonan Ma and George Marinescu for the monograph:

*Homomorphic Morse inequalities and Bergman kernels*

**2007** M Rosa Miró-Roig for the monograph:

*Lectures on Determinantal Ideals*

**2008** Luis Barreira for the monograph:

*Dimension and Recurrence in Hyperbolic Dynamics*

**2009** Tim Browning for the monograph:

*Quantitative Arithmetic of Projective Varieties*

JOC/EFR August 2009

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