International Congress of Mathematicians 2018: Administration of Travel Grants for US Participants

四年一度的国际数学家大会（ICM）将于2018年8月1日至9日在巴西里约热内卢举行。来自世界各地的5000至6000名数学科学家、教师、学生和其他人将分享新的研究成果、未来调查方向、应用、教育学思想以及传播和存档数学知识的方法。来自美国的参与者将通过向全球数学界展示他们的研究成果来为活动做出贡献，他们还将通过与国外同行在大会上的活动来丰富美国的STEM基础设施。作为世界数学研究的领导者，美国通过支持基础研究，促进传播研究成果的活动，使研究人员能够从其他国家的研究人员的思想和合作中受益，来维持这一地位。在数学科学中，研究依赖于面对面的互动，工作越来越多地协作，而且这些努力往往是国际范围的。美方在ICM 2018上的活动直接促进了美国知识经济的活力，从技术和外交的角度来看，它们支持了国家安全。美国国家科学基金会的这项奖励将使美国数学学会能够为大约90名美国数学家参加大会提供实质性的支持。一个数学家小组将从美国几个专注于数学科学的专业组织的成员中挑选数学家，提出奖项推荐。欢迎所有职业阶段的数学家申请，特别鼓励女性和代表性不足群体的成员申请，早期职业申请人将优先获得资助。自20世纪50年代以来，ICM一直在国际数学联盟（IMU）的主持下举行，国际数学联盟是一个由包括美国在内的80多个成员国的数学协会组成的财团。对于2018年的大会，IMU的项目委员会就当前的研究主题设置了19个部分：逻辑学与基础、代数、数论、代数与复几何、几何、拓扑学、李理论与推广、分析与算子代数、动力系统与常微分方程、偏微分方程、数学物理、概率论与统计、组合学、计算机科学的数学方面、数值分析与科学计算、控制理论与优化、科学与技术数学、数学教育与数学普及、数学史。大会的参与者将有机会在这些部分听取许多邀请讲座，参观海报会议，并与从事类似研究的数学家互动。一些受邀的演讲者将得到ICM旅行资助计划的支持。除了部分讲座外，ICM还包括Emmy Noether和Abel讲座和20个关于最近主要发展的独立全体讲座。大会还颁发了一些在数学科学领域最负盛名的奖项：菲尔兹奖、奈万林纳奖、高斯奖、陈奖和利拉瓦蒂奖。所有这些都是对投身于数学研究前沿的个人所取得的非凡成就的认可。自1897年在苏黎世成立以来，ICM一直是数学研究国际合作的重要推动力，它经常是数学界和更广泛的世界的历史性场合。有关ICM 2018的信息可在http://www.icm2018.org/portal/en/home/上找到。

The quadrennial International Congress of Mathematicians (ICM) will be held in Rio de Janeiro, Brazil on August 1-9, 2018. Between 5,000 and 6,000 mathematical scientists, teachers, students, and others from around the world will share new results of research, directions of future investigation, applications, ideas for pedagogy, and methodologies for disseminating and archiving mathematical knowledge. Participants from the United States, who will contribute to the activities through presentation of their research to the worldwide mathematical community, and they will also enrich the nation's STEM infrastructure through activities at the Congress with their counterparts from abroad. As a world leader in mathematical research, the US sustains this position by supporting basic research, fostering activities that disseminate the results of this work, and enabling researchers to benefit from ideas and collaborations with researchers in other countries. In the mathematical sciences, research is reliant on in-person interactions, the work is increasingly collaborative, and the efforts are often international in scope. Activities of US participants at ICM 2018 contribute directly to the vitality of the US's knowledge-based economy, and from a technical and diplomatic point of view they support national security. This National Science Foundation award would enable the American mathematical Society to provide substantial support for approximately ninety US-based mathematicians to participate in the Congress. Recommendations for awards will be made by a panel of mathematicians drawn from among the members of several US-based professional organizations focused in the mathematical sciences. Mathematicians of all career stages are welcome to apply, women and members of underrepresented groups are especially encouraged to apply, and early-career applicants will receive priority for funding. Since the 1950s, the ICM has been held under the auspices of the International Mathematical Union (IMU), a consortium of mathematics societies from more than eighty member nations, including the US. For the 2018 Congress the IMU's Program Committee has set nineteen sections on topics of current research: Logic and Foundations, Algebra, Number Theory, Algebraic and Complex Geometry, Geometry, Topology, Lie Theory and Generalizations, Analysis and Operator Algebras, Dynamical Systems and Ordinary Differential Equations, Partial Differential Equations, Mathematical Physics, Probability and Statistics, Combinatorics, Mathematical Aspects of Computer Science, Numerical Analysis and Scientific Computing, Control Theory and Optimization, Mathematics in Science and Technology, Mathematics Education and Popularization of Mathematics, and History of Mathematics. Participants in the Congress will have opportunities in these sections to hear many invited lectures, visit poster sessions, and interact with mathematicians engaged in similar research. A number of the invited speakers will have support from the ICM travel grant program. In addition to section lectures, the ICM incorporates the Emmy Noether and Abel Lectures and twenty stand-alone plenary lectures on recent major developments. The Congress is also the occasion for conferring some of the most prestigious awards in the mathematical sciences: the Fields Medal, Nevanlinna Prize, Gauss Prize, Chern Medal Award, and Leelavati Prize. All of these recognize singular achievements of individuals involved in in the forefront of mathematical research. Since its inception in 1897 in Zurich, the ICM has been a significant impetus to international cooperation in mathematical research, and it is often a historic occasion for the mathematical community and the wider world. Information about ICM 2018 can be found at http://www.icm2018.org/portal/en/home/.