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

美国数学研究所（AIM）通过促进不同研究人员群体之间的合作来推进数学知识的前沿。自2002年以来，AIM一直作为NSF数学科学研究所获得支持，并举办短期，以数学为重点的课程，以补充其他NSF研究所的学期和一年的课程。AIM的主要科学计划是为期一周的重点研讨会和小型研究小组，称为结构化四方研究合奏（SSEREs）。每年约有750名数学家访问AIM，参加研讨会或科学研讨会。自2002年以来，AIM已经在数学科学的所有领域举办了250多个为期一周的重点研讨会。这些为期一周的研讨会的三个显著特点是他们的重点主题，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。2007年推出的Soccerres计划支持4至6名研究人员的合作，他们在为期一周的时间内多次会面，以便在雄心勃勃的研究议程上取得进展。该计划鼓励发展新的和持久的合作，特别是初级和高级研究人员之间的合作，产生卓越的数学。为了进一步支持科学计划的目标，AIM开发了一套基于网络的工具，以加强参与者在AIM之前、期间和之后的协作。这些工具也有助于更广泛的数学研究，通过帮助传播进展，以更大的利益社区，并有长期的潜力，更广泛地使用数学界。在其历史上，AIM还支持了各种特殊项目，包括本科教师的研究经验（REUF），本科教师谁想要指导本科学生的研究计划;和数学教师圈（MTC）网络，一个国家外展计划连接K-12数学教师与研究数学家。 这些项目有助于AIM作为一个研究所的工作产生更广泛的影响，并提供在数学界内外建立合作伙伴关系的机会。在项目期间，AIM将举办60个研讨会和90个SQuaRE，邀请大约2，500名数学科学家参加，以推进知识在广泛的数学领域。过去和即将举行的研讨会和研讨会的主题包括代数，数论，几何，代数几何，拓扑学，分析，组合学和概率的领域和子领域，以及数学物理，数学生物学的应用，以及与食品，水和运输有关的可持续发展问题。预计这些方案将继续保持其既定的生产率记录，在目前的赠款期内，每个讲习班平均出版2.9本出版物，每个SCRENRE平均出版3.7本出版物。 AIM项目的更广泛的科学成果包括为数学领域之间的新联系和数学科学在其他领域的新应用铺平道路。AIM的三个首要目标是扩大参与，增加合作和推进数学产生广泛的影响。参与者的多样性是项目选择和规划的每个阶段的一个重要考虑因素，并且广泛的努力致力于为每个项目的研究活动的所有参与者创造一种全面包容的文化。AIM还致力于通过REUF、MTC网络和当地外联工作等特别项目，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AIM计划的结果，也有很大的潜力，有助于更普遍地支持科学协作的基础设施。

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.