boundary, although his argument was mistaken. Later, with Bernard Dacorogna, Moser fully carried out the analysis of the boundary case. Moser also made an early contribution to the prescribed scalar curvature problem, showing that in any conformal class of Riemannian metrics on the projective plane, every function except for those which are nonpositive arises as a scalar curvature. Moser's prior analysis of the Moser–Trudinger inequality was important for this work, highlighting the geometric significance of optimal constants in functional inequalities. Research of Henri Poincaré and Élie Cartan in the early twentieth century had clarified the two-dimensional CR geometry, dealing with three-dimensional hypersurfaces of smooth four-dimensional manifolds which are also equipped with a complex structure. They had identified local invariants distinguishing two such structures, analogous to prior work identifying the Riemann curvature tensor and its covariant derivatives as fundamental invariants of a Riemannian metric. With Shiing-Shen Chern, Moser extended Poincaré and Cartan's work to arbitrary dimensions. Their work has had a significant influence on CR geometry. Students Among Moser's students were Mark Adler of Brandeis University, Ed Belbruno, Charles Conley (1933–1984), Howard Jacobowitz of Rutgers University, and Paul Rabinowitz of University of Wisconsin. Awards and honours Moser won the first George David Birkhoff Prize in 1968 for contributions to the theory of Hamiltonian dynamical systems, the James Craig Watson Medal in 1969 for his contributions to dynamical astronomy, the Brouwer Medal of the Royal Dutch Mathematical Society in 1984, the Cantor Medal of the Deutsche Mathematiker-Vereinigung in 1992 and the Wolf Prize in 1995 for his work on stability in Hamiltonian systems and on nonlinear differential equations. He was elected to membership of the National Academy of Sciences in 1973 and was corresponding member of numerous foreign academies such as the London Mathematical Society and the Akademie der Wissenschaften und Literatur, Mainz. At three occasions he was an invited speaker at the quadrennial International Congress of Mathematicians, namely in Stockholm (1962) in the section on applied mathematics, in Helsinki (1978) in the section on Complex Analysis, and a plenary speaker in Berlin (1998). In 1990 he was awarded honorary doctorates from University of Bochum and from Pierre and Marie Curie University in Paris. The Society for Industrial and Applied Mathematics established a lecture prize in his honor in 2000. Major publications Articles Books Notes References External links Paul H. Rabinowitz, "Jürgen Moser", Biographical Memoirs of the National Academy of Sciences (2015)