American Institute of Mathematics Research Conference Center: A Model for Collaboration

美国数学研究所研究会议中心：合作模式

• 批准号: 1638535
• 负责人: John Conrey
• 金额: $ 779.52万
• 依托单位: American Institute of Mathematics
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-07-01 至 2021-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1638535&HistoricalAwards=false
• 关键词: American; Institute; Mathematics; Research; Conference

The American Institute of Mathematics (AIM) advances the frontiers of mathematical knowledge by fostering collaborations among diverse groups of researchers. AIM has been supported as an NSF Mathematical Sciences Research Institute since 2002, and hosts short, mathematically focused programs that complement the semester- and year-long programs of other NSF institutes. AIM's primary scientific programs are week-long focused workshops and small research groups called Structured Quartet Research Ensembles (SQuaREs). Approximately 750 mathematicians per year visit AIM for either a workshop or a SQuaRE. Since 2002, AIM has hosted more than 250 week-long focused workshops in all areas of the mathematical sciences. Three distinctive features of these week-long workshops are their focused topics, small size (25 to 30 researchers), and structured afternoon work time, including time for research in small groups. The SQuaREs program, introduced in 2007, supports collaborations of 4 to 6 researchers who meet multiple times for week-long intervals in order to make progress on an ambitious research agenda. The program encourages the development of new and lasting collaborations, particularly between junior and senior researchers, that produce exceptional mathematics. To further support the goals of the scientific programs, AIM has developed a set of web-based tools that enhance collaboration before, during, and after participants' time at AIM. These tools also contribute more broadly to mathematics research through helping disseminate progress to a larger community of interest, and have long-term potential for wider use by the mathematics community. Throughout its history, AIM has also supported a variety of Special Projects, including Research Experiences for Undergraduate Faculty (REUF), a program for undergraduate faculty who want to mentor undergraduate students in research; and the Math Teachers' Circle (MTC) Network, a national outreach program connecting K-12 mathematics teachers with research mathematicians. These projects contribute to the broader impacts of AIM's work as an institute and provide opportunities to form partnerships both within and beyond the mathematics community.During the project period, AIM will host approximately 2,500 mathematical scientists in 60 workshops and 90 SQuaREs that will advance knowledge in a broad spectrum of mathematical areas. Topics of past and upcoming workshops and SQuaREs include the fields and subfields of algebra, number theory, geometry, algebraic geometry, topology, analysis, combinatorics and probability, and applications to mathematical physics, mathematical biology, and to sustainability problems concerned with food, water, and transportation. It is anticipated that these programs will continue their established record of productivity, which during the current grant period has been an average of 2.9 publications resulting from each workshop and 3.7 from each SQuaRE. Broader scientific outcomes of AIM's programs include paving the way for new connections between fields of mathematics and new applications of the mathematical sciences to other areas. AIM's three overarching goals of broadening participation, increasing collaboration, and advancing mathematics produce broad impacts. Participant diversity is an important consideration at every stage of program selection and planning, and extensive effort is dedicated to creating a culture of full inclusion for all participants in each program's research activities. AIM also works to broaden participation in and raise public awareness about the mathematical sciences through Special Projects such as REUF, the MTC Network, and local outreach efforts. Finally, research collaboration tools disseminate the results of AIM programs and also have significant potential to contribute to the infrastructure supporting scientific collaboration more generally.

美国数学研究所（AIM）通过在不同的研究人员之间培养合作来提高数学知识的前沿。自2002年以来，AIM一直是NSF数学科学研究所的支持，并主持了简短的，以数学为中心的计划，以补充其他NSF研究所的学期和一年的计划。 AIM的主要科学计划是为期一周的专注研讨会和小型研究小组，称为结构化四重奏研究集合（Squares）。每年大约有750名数学家访问车间或广场的目标。自2002年以来，AIM在数学科学的所有领域举办了超过250周的专注研讨会。这些为期一周的研讨会的三个独特特征是他们的重点主题，小规模（25至30名研究人员）和结构化的下午工作时间，包括小组研究的时间。该方案于2007年推出，支持4至6名研究人员的合作，他们多次开会为期一周的间隔，以在雄心勃勃的研究议程上取得进展。该计划鼓励开发新的和持久的合作，尤其是在初级和高级研究人员之间产生杰出数学的合作。为了进一步支持科学计划的目标，AIM开发了一套基于Web的工具，这些工具在参与者的AIM时间之前，之中和之后都会增强协作。这些工具还通过帮助将进步传播到更大的感兴趣社区，并具有数学社区更广泛使用的潜力，从而为数学研究提供了更广泛的贡献。在整个历史上，AIM还支持各种特殊项目，包括针对本科教职员工的研究经验，这是一个想指导研究生的本科教师计划；以及数学教师圈（MTC）网络，这是一个将K-12数学教师与研究数学家联系起来的国家外展计划。 这些项目有助于AIM作为一名研究所的工作的更广泛的影响，并提供了与数学社区内外建立伙伴关系的机会。在项目期间，AIM将在60个研讨会上举办大约2500名数学科学家和90个平方，这些广场将在广泛的数学领域中促进知识。过去和即将举行的研讨会和正方形的主题包括代数，数字理论，几何，代数几何，拓扑，拓扑，分析，组合和概率以及对数学物理学，数学生物学以及与食物，水和交通有关的可持续性问题的应用。预计这些计划将继续其既定的生产率记录，在当前的赠款期间，每个研讨会的平均出版物为2.9个出版物，每个正方形的3.7。 AIM计划的更广泛的科学成果包括为数学领域与数学科学领域之间的新联系铺平道路。 AIM扩大参与，增加协作和推进数学的三个总体目标会产生广泛的影响。参与者的多样性是计划选择和计划的每个阶段的重要考虑因素，并且广泛的努力致力于为每个计划的研究活动中的所有参与者建立一种完全包容的文化。 AIM还致力于通过REUF，MTC网络和当地推广工作等特殊项目来扩大参与并提高公众对数学科学的认识。最后，研究协作工具传播了AIM计划的结果，并且具有为支持科学合作的基础架构做出巨大贡献的巨大潜力。