The Mathematicals Science in 2025

最近一份调查数学科学面临的问题的报告是美国国家科学基金会十年前发布的美国数学科学国际评估高级评估小组的报告(奥多姆报告)。自该报告发表以来，国家科学基金会发生了很大的变化，包括数学科学司的预算增加了一倍，DMS的研究和培训奖项组合显著多样化，其资助的项目与更大的科学和工程企业的联系增加了。与此同时，数学科学的格局已经发生了重大变化：在科学、技术和经济中使用数学和统计学的需求增加了，数学科学中的智力机会大大增加，该学科变得更加国际化。拟议的研究将对数学科学的现状和将影响该学科及其利益攸关方的新兴趋势进行前瞻性评估，因为他们将展望四分之一个世纪。具体而言，该研究将评估(A)数学科学研究的活力，考察研究的统一性和连贯性、最新发展的意义、前沿进展速度和新出现的趋势；(B)数学科学研究和培训对科学和工程、对工业和技术、对创新和经济竞争力、对国家安全和其他国家利益领域的影响。

The most recent report that surveyed issues facing the mathematical sciences was NSF's Report of the Senior Assessment Panel for the International Assessment of the U.S. Mathematical Sciences (Odom Report) a decade ago. Since the issuance of that report, much has changed at NSF including a doubling of the Division of Mathematical Sciences' budget, significant diversification of the DMS portfolio of research and training awards, and increased connectivity of its funded projects with the larger science and engineering enterprise. At the same time, the landscape of the mathematical sciences has changed significantly: demand for the use of mathematics and statistics in science, technology, and the economy has heightened, intellectual opportunities in the mathematical sciences have greatly expanded and the discipline has become ever more highly internationalizedThe proposed study will produce a forward-looking assessment of the current state of the mathematical sciences and of emerging trends that will affect the discipline and its stakeholders as they look ahead to the quarter century mark. Specifically, the study will assess (a) the vitality of research in the mathematical sciences, looking at such aspects as the unity and coherence of research, significance of recent developments, rate of progress at the frontiers, and emerging trends; and (b) the impact of research and training in the mathematical sciences on science and engineering; on industry and technology; on innovation and economic competitiveness; on national security; and other areas of national interest.