IRES: Research Experiences: Brown University Mathematics and Applied Mathematics Students in Paris VI

这个为期三年的奖项将为来自布朗大学的六名美国研究生和一名指导教师提供每年夏季访问巴黎第六大学（皮埃尔和玛丽居里大学）和巴黎第七大学的研究支持。目的是向学生介绍分析、偏微分方程、数论和科学计算方面的数学研究。这个暑期项目由布朗大学的David Gottlieb和巴黎第六大学的Yvon Maday领导。智力成就这个国际研究和教育努力的目标是在布朗大学和法国数学家之间积极的研究合作的背景下，让学生参与数学研究。美国和法国的教员将开发科学计算（时间相关问题的高阶精度方法）、泛函分析和数论方面的项目。更广泛的影响拟议中的项目将为研究生提供研究培训，并通过与法国顶尖数学家建立新的联系来促进他们的职业发展。专为二年级博士生，暑期课程纳入机会，让学生参与各种各样的数学研究。在法国的初步经历之后，美国学生有资格参加布朗大学和巴黎第六大学的联合博士项目。这是夏季国外研究的一个重要而独特的方面。学生将继续与法国保持联系，直到完成博士学位，并有可能在他们的职业生涯中与法国同事保持合作。

This three-year award will provide a group of six U.S. graduate students and a faculty advisor from Brown University with support for annual summer research visits to the University of Paris VI (Universite Pierre et Marie Curie) and University of Paris VII. The purpose is to introduce students to mathematical research in analysis, partial differential equations, number theory and scientific computing. The summer program is led by David Gottlieb of Brown University and Yvon Maday of the University of Paris VI. Intellectual MeritThe goal of this international research and education effort is to engage students in mathematics research within the context of active research collaborations between Brown University and French mathematicians. U.S. and French faculty members will develop programs in scientific computing (high order accuracy methods for time dependent problems), functional analysis, and number theory. Broader ImpactsThe proposed project will provide research training to graduate students and advance their careers through new connections to leading French mathematicians. Designed for second year Ph.D. students, the summer program incorporates opportunities to engage students in a wide variety of mathematics research. After this initial experience in France, U.S. students become eligible to participate in a joint Ph.D. program between Brown University and the University of Paris VI. This component is a significant and unique aspect to summer research abroad. Students continue their connections with France until completion of their Ph.D. with the possibility of maintaining their collaboration with French colleagues through their career.