VIGRE: Undergraduate, Graduate, and Postdoctoral Education in Mathematics at the Courant Institute

纽约大学库兰特研究所数学系将在国家科学基金会Vigre计划的支持下，通过其学术项目为研究和研究生教育提供重要机会。这笔资助将用于将考兰特研究所的博士后和博士项目与数学荣誉本科生的研究经验结合起来。这一整合将建立在库兰特研究所的重点研究小组的基础上，这些小组存在于学科数学中--如微分几何、辛几何、几何和拓扑分析、偏微分方程分析、动力系统理论、概率理论和数学物理、计算科学和数值分析以及应用数学；以及跨学科科学--如神经科学、视觉、生物物理学、计算生物学、等离子体物理、多媒体技术、材料科学、凝聚态物理、流体力学、大气/海洋科学和金融数学。这些研究小组中的每一个都使用高级研究生课程、研讨会、工作研讨会和研讨会来促进互动和交流知识。来自邻近学术机构、工业实验室和华尔街的数学家经常与这些团体互动并为其做出贡献。教师、博士后、博士后和高级本科生之间的互动将通过积极参与研究小组来发展。初级科学家将接受培训，并被鼓励提出这样一种观点，即理论数学和应用数学之间不存在人为的界限，而跨学科研究是非常重要的。库兰特研究所的Vigre计划每年将为9名博士后科学家和24名研究生提供支持。博士后学员将通过Courant学院独特的跨学科环境获得广度和深度。将鼓励每个人在三年任期内发展自己的科学个性和远见。此外，每个博士后将通过每学期教授一门课程来获得课堂技能和经验，由一名教育学专家和一名教师监督。通过参加各种研究小组，研究生将很快被吸引到研究所的科学生活中来。鼓励他们在工业和政府研究实验室等非学术环境中实习，以获得更大的视野和视角。他们将通过各种机制学习沟通技能，包括监督课堂体验。数学专业本科生将被鼓励参加丰富的荣誉项目，提供多样化的研究经验机会。荣誉计划将通过传播数学和跨学科科学领域的机会和巨大的兴奋，帮助有才华的本科生进入量化职业生涯。与VIGRE项目相关的一些具体发展包括：(I)在Courant研究所的研究小组中创造本科生和博士后研究机会；(Ii)为本科生和研究生在工业和政府实验室以及附近的医学院正式提供实习机会；(Iii)由教育学专业人员以及数学系成员对研究生和博士后教学进行系统监督；(Iv)更积极地招募美国公民和永久居民提供研究生和博士后支持，特别关注女性和其他代表性不足的群体。该奖项由数学科学司和国会议员多学科活动委员会办公室提供资助。

The Mathematics Department in the Courant Institute of New York Universitywill provide significant opportunities for research and graduate educationthrough its academic programs, under the support of the VIGRE program ofthe National Science Foundation. This support will be used to integratethe postdoctoral and Ph.D. programs at the Courant Institute, togetherwith research experiences for honors undergraduates in mathematics. Thisintegration will be founded upon focused research groups at the CourantInstitute, which exist in disciplinary mathematics -- such as differentialgeometry, symplectic geometry, geometric and topological analysis, theanalysis of partial differential equations, dynamical systems theory,probability theory and mathematical physics, computational science andnumerical analysis, and applied mathematics; as well as ininterdisciplinary science -- such as neural science, vision, biophysics,computational biology, plasma physics, multimedia technology, materialsscience, condensed matter physics, fluid mechanics, atmosphere/oceanscience, and financial mathematics. Each of these research groups usesadvanced graduate courses, seminars, working seminars, and workshops tofoster interactions and to exchange knowledge. Mathematicians fromneighboring academic institutions, industrial laboratories and from WallStreet, often interact with and contribute to these groups. Interactionsbetween members of the faculty, postdocs, Ph.D. students, and advancedundergraduates will be developed through active membership in theseresearch groups. Junior scientists will be trained and encouraged toadvance a view in which artificial boundaries between pure and appliedmathematics do not exist, and in which interdisciplinary research is thenorm.The Courant Institute's VIGRE Program will provide support for 9 postdoctoral scientists and 24 graduate students each year. Postdoctoral participants will gain breadth and depth through the Courant Institute's uniquely interdisciplinary environment. Each will be encouraged to develop his or her own scientific personality and vision over the course of a three-year appointment. In addition, each postdoc will gain classroom skill and experience by teaching one course per semester, with supervision by an expert in pedagogy as well as by a member of the faculty. Graduate students will be drawn quickly into the scientific life of the Institute through participation in various research groups. They will be encouraged to do internships in nonacademic environments such as industrial and government research labs, to gain added scope and perspective. They will learn communication skills through a variety of mechanisms, including supervised classroom experience. Undergraduate math majors will be encouraged to participate in an enriched honors program, featuring diverse research experience opportunities. The honors program will help drawtalented undergraduates into quantitative careers, by communicating themany opportunities and great excitement available in mathematics andinterdisciplinary science. Some specific developments associated with thisVIGRE project include: (i) the creation of undergraduate researchopportunities within research groups at the Courant Institute; (ii) theformalization of internship opportunities in industrial and governmentlaboratories and in nearby medical schools, for undergraduate and graduatestudents; (iii) systematic supervision of graduate student and postdocteaching, by professionals in pedagogy as well as by members of themathematics faculty; (iv) more active recruitment of US citizen andpermanent resident candidates for graduate and postdoctoral support, withspecial emphasis on women and other underrepresented groups.Funding for this award is provided by the Division of Mathematical Sciences and the MPS Directorate's Office of Multidisciplinary Activities.