US-Africa Collaborative Research Network in Mathematical Sciences

美非数学科学合作研究网络

• 批准号: 1343651
• 负责人: Overtoun Jenda
• 金额: $ 41.5万
• 依托单位: Auburn University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-09-01 至 2019-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1343651&HistoricalAwards=false
• 关键词: US; Africa; Collaborative; Research; Network

The US-Africa Collaborative Research Network consists of over 40 senior research faculty from US, Sub-Saharan Africa, Canada, and Europe forming 4 research teams in Pure Mathematics (Algebra and Geometry, Analysis and Topology, Coding Theory and Information Theory, and Graph Theory) and 3 research teams in Applied Mathematics (Epidemiological Modeling, Numerical Approximation of Solutions of Partial Differential Equations, and Mathematics of Finance and Statistics). Each team has at least 4 senior research faculty and at least 4 undergraduate and graduate students. Student participants are recruited from across the US and Sub-Saharan Africa. The primary goal of the network is to produce, by the end of the project period, (a) at least 8 high quality new PhDs in the US and a similar number in Sub-Saharan Africa, (b) numerous high quality joint research publications, and (c) several prominent US-Africa research partnerships consisting of researchers from diverse backgrounds; and thus have long lasting impact on mathematical sciences research collaboration and human infrastructure in the US and Sub-Saharan Africa.The research problems being studied have important applications in industry and government as well as in scientific research. In particular, coding theory, graph theory, and number theoretic problems being studied have applications in security, network coverage, surveillance, and transportation, while algebra, geometry, and analysis problems have applications to mathematical biology, differential equations, finance, and statistics. In turn, problems in mathematical biology and differential equations have applications in the spread of contagious diseases, tumor growth and cell membrane deformation, and biodiversity; and problems in finance and statistics will provide a better understanding of the use of financial mathematical models in developing nations. This award is jointly supported by the Division of Mathematical Sciences and the Office of Multidisicplinary Activities within the Directorate of Mathematical and Physical Sciences.

美国非洲协作研究网络由我们，撒哈拉以南非洲，加拿大和欧洲的40多名高级研究教师组成，在纯数学（代数和几何学，分析和拓扑，编码理论和信息理论和图形理论）中组成4个研究团队，以及在应用数学上的3个研究团队（数学上的数字，数学，数学方程式），数学，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学方程式，数学，数学方程式，分别是数学上的分别，并且是数学上的数学方程式，构图，数学方程式，分别是数学方程。财务和统计）。 每个团队至少有4位高级研究学院和至少4个本科生和研究生。从美国和撒哈拉以南非洲招募学生参与者。该网络的主要目的是在项目期结束时生产（a）（a）美国至少8个高质量的新博士和撒哈拉以南非洲的类似数字，（b）许多高质量的共同研究出版物，以及（c）几个由来自不同背景的研究人员组成的美国 - 非洲研究伙伴关系；因此，对美国和撒哈拉以南非洲的数学科学研究合作和人类基础设施产生了持久的影响。所研究的研究问题在工业和政府以及科学研究中都有重要的应用。特别是，所研究的编码理论，图理论和数量理论问题在安全性，网络覆盖，监视和运输中都有应用，而代数，几何和分析问题在数学生物学，微分方程，财务和统计数据中都有应用。反过来，数学生物学和微分方程的问题在传染性疾病，肿瘤生长和细胞膜变形和生物多样性中具有应用。财务和统计的问题将更好地了解在发展中国家中财务数学模型的使用。 该奖项由数学科学部以及数学和物理科学局内的多学位活动办公室共同支持。