Interconnecting Research and Education in the Mathematical Sciences at Stony Brook

这一奖项旨在建立斯托尼布鲁克数学企业的各个教育和研究部门之间的有意义的相互联系。数学系和应用数学与统计学系发展强劲，但方向大相径庭。这一联合提议通过以下方式加强两个部门的教学和研究培训：(I)在一个部门的优势可以使另一个部门受益的领域进行合作，以及(Ii)对两个部门都有利的新举措。该提案的重点是扩大研究团队，将本科生纳入大学的任务范围，为本科生提供参与研究的机会。它对发展教育学的重视与大学振兴本科教育的任务相一致。该建议包括四个部分：a.扩大本科生、研究生和博士后的研究培训；b.发展垂直整合的研究团队；c.加强本科生、研究生和博士后的教育经验；d.促进两个系的学生、博士后和院系之间更多的互动。石溪小镇计划的拟议措施将加强这两个系的本科生、研究生和博士后的教育和研究培训，从而提供更好的课堂学习、新的研究机会和更广泛的职业机会。本科生将有各种涉及独立思考的新体验，最终将有机会参与垂直整合的研究团队。数学专业的研究生和博士后将有机会接触到涉及其他学科的数学研究类型，以及参与此类研究项目的行业。虽然最近的数学博士S已经成功地在顶尖机构找到了学术工作，但对所有数学博士来说，S意识到更广泛的职业机会仍然是有意义的。应用数学研究生将更好地欣赏(统一)数学系的学术生涯，并为之做好准备。应用数学博士S的就业已经向非学术职业的方向摇摆了太多。这种趋势的结果是，文科院校在招聘合格的美国公民统计学和应用数学教师方面遇到了困难。暑期实习计划将与当地行业和企业建立宝贵的联系，并直接受益于实习生的培训。Vigre博士后研究员将分享广泛的研究和职业机会。一些人还将参与教学改革，特别是在教学准备方面。所有博士后研究员在启动自己的研究项目时将得到广泛的指导。该奖项的资金由数学科学部和MPS董事会的多学科活动办公室提供。

This award seeks to build meaningful interconnections among the variouseducational and research components of the mathematics enterprise at StonyBrook.The Departments of Mathematics and of Applied Mathematics and Statistics havedeveloped strongly but in largely divergent directions. This joint proposalenhances the instruction and research training in both departments through (i)cooperation in areas where the strengths of one department can benefit theother, and (ii) new initiatives that will benefit both departments. The proposal'semphasis on expanding research teams to include undergraduates ties in with theuniversity mandate to develop opportunities for undergraduates to participate inresearch. Its emphasis on developing pedagogy ties in with the universitymandate to revitalize undergraduate education. The proposal has four components:A. Broadening the Research Training of Undergraduates, Graduate Students andPostdocs;B. Developing Vertically Integrated Research Teams;C. Strengthening the Educational Experiences of Undergraduates, GraduateStudents and Postdocs;D. Promoting Greater Interactions Among Students, Postdocs and Faculty in TheTwo DepartmentsThe proposed initiatives in the Stony Brook VIGRE project will strengthen theeducation and research training of undergraduate and graduate students andpostdocs in both departments with better classroom learning, new opportunitiesfor research, and broadened career opportunities. Undergraduates will have avariety of new experiences involving independent thinking, culminating in theopportunity to participate in vertically integrated research teams. Graduate students andpostdocs in Mathematics will have an exposure to the types of mathematicsresearch that reach out to other disciplines and to industry with involvement in one suchresearch project. While most recent Mathematics Ph.D.'s have been successful infinding academic employment at leading institutions, it still makes sense forall Mathematics Ph.D.'s to be aware of a wider range of career opportunities.Applied Mathematics graduate students will develop a better appreciation of, andpreparation for, academic careers in (unified) mathematics departments. Theemployment of Applied Mathematics Ph.D.'s has swung too far in the direction ofnon-academic careers. As a result of this trend, liberal art colleges havegreat difficulty hiring qualified U.S.-citizen faculty in statistics and appliedmathematics. The summer internship program will build valuable ties with localindustry and business along with directly benefiting the training of the studentinterns. VIGRE Postdoctoral Fellows will share in the exposure of broadenedresearch and career opportunities. Some will also become involved ininstructional reform, particularly in the arena of teaching preparation. Allpostdoctoral Fellows will have extensive mentoring in launching their ownresearch programs.Funding for this award is provided by the Division of Mathematical Sciences and the MPS Directorate's Office of Multidisciplinary Activities.