After 1945 important work in France, in the seminar of Henri Cartan, and Germany with Hans Grauert and Reinhold Remmert, quickly changed the picture of the theory.
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With work of Friedrich Hartogs, and of Kiyoshi Oka in the 1930s, a general theory began to emerge; others working in the area at the time were Heinrich Behnke, Peter Thullen and Karl Stein.
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Its development was rapid in the years after 1950, when it was realised that sheaf cohomology was connected with more classical methods applied to the Riemann-Roch theorem, the analysis of a linear system of divisors in algebraic geometry, several complex variables, and Hodge theory.
Washnitzer studied at Princeton University under Emil Artin and in 1950 received a Ph.D. (A Dirichlet Principle for analytic functions of several complex variables) under the supervision of Salomon Bochner.
He obtained a subsequent research fellowship with Professor Francesco Severi in Rome to explore how algebraic geometry could be integrated into the theory of functions of several complex variables.