Basic Research in Mathematics

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The School of Mathematics of the Institute for Advanced Study (IAS) was formed in 1930 at the founding of the IAS. The initial goal of the School was to provide a haven for scholars where they could work in an environment that was exceptionally favorable for conducting research. Over the years, other roles have emerged and the School has assumed additional responsibilities including guiding junior visitors in their research and organizing special programs that widen the School's coverage of mathematics. Although it has functioned in an international context, the main impact of the Institute has been on the U.S. mathematical community, with a majority of its visitors having come from or been absorbed by it. The Institute frequently conducts programs in special areas of mathematics. During the last few years, there have been numerous seminars in such diverse areas as kinetic theory, weak turbulence, quantum algebraic geometry, geometry, and modular varieties. There have also been workshops in materials science, mathematical problems in finance, fluid dynamics, kinetic theory, quantum computing, discrete isoperimetric inequalities, and turbulence. Future programs will include geometric methods in representation theory and analytic theory of automorphic forms and L-functions.This project will support postdoctoral and mid-career visiting researchers at the School of Mathematics of the Institute for Advanced Study with the goal of supporting a wide spectrum of mathematical research at the highest level. This activity will provide these researchers unique opportunities for consultation and collaboration.