Basic Research in Mathematics

高等研究院（IAS）的数学学院成立于1930年，成立于IAS。 学校的最初目标是为学者提供一个避风港，他们可以在一个非常有利于进行研究的环境中工作。 多年来，其他角色已经出现，学校承担了额外的责任，包括指导初级游客在他们的研究和组织特别节目，扩大了学校的数学覆盖面。 虽然它已经在国际范围内运作，该研究所的主要影响一直在美国数学界，其大部分游客来自或被吸收。该研究所经常在数学的特殊领域进行计划。 在过去的几年里，有许多研讨会在这样不同的领域，如动力学理论，弱湍流，量子代数几何，几何和模块化的品种。还有材料科学，金融数学问题，流体动力学，动力学理论，量子计算，离散等周不等式和湍流的研讨会。 未来的项目将包括表示论和自守形式和L函数的分析理论中的几何方法。该项目将支持高级研究所数学学院的博士后和职业中期访问研究人员，以支持最高水平的广泛数学研究为目标。 这项活动将为这些研究人员提供独特的协商和合作机会。

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.