Triangle Lectures in Combinatorics

该奖项支持参加组合学三角讲座（http://www.math.ncsu.edu/TLC）。这些是为期一天（周六）的会议，每学期举行一次。每次会议都会邀请来自全国各地的四名杰出数学家就组合学的重大和令人兴奋的发展发表演讲。组合学三角讲座研讨会发挥了许多作用：它们通过创建和加强相互作用的研究人员的区域网络，加强了国家研究和教育的基础设施；促进前沿研究思想、方法和成果在美国东南部研究人员之间的传播；促进研究生的教学和培训，让他们接触顶尖研究人员的观点；提高东南地区教师和学生对组合学的认识和理解；支持各学院青年教师的发展，并协助他们建立本地支援和研究网络；扩大代表性不足群体，特别是妇女的参与；并促进参与者之间的研究互动，从而产生新的研究成果。组合学是数学中一个不断发展的重要领域。组合学的重点是离散（相对于连续）对象集的结构。组合学对数学的许多领域至关重要，在计算、科学和工程应用中起着关键作用。北卡罗来纳州、弗吉尼亚州、南卡罗来纳州、佐治亚州、肯塔基州和田纳西州在组合学及其邻近领域具有重要的研究实力。特别是，在北卡罗来纳研究三角地区（罗利、达勒姆和教堂山）的车程范围内，有很多组合学及相关领域的终身研究员、高级研究员、博士后学者和研究生。这些研究人员中有相当大一部分来自代表性不足的群体。该系列讲座为这些研究人员之间的互动提供了宝贵的机会。

This award supports participation in the Triangle Lectures in Combinatorics (http://www.math.ncsu.edu/TLC). These are one-day (Saturday) conferences, held once a semester. Each conference brings four outstanding mathematicians from around the country to give talks about significant and exciting developments in combinatorics. The Triangle Lectures in Combinatorics workshops play numerous roles: they enhance the national infrastructure for research and education by creating and strengthening a regional network of interacting researchers; facilitate the dissemination of cutting-edge research ideas, methods and results among researchers in the Southeastern United States; promote the teaching and training of graduate students by exposing them to the perspectives of leading researchers; increase awareness and understanding of combinatorics, on the part of faculty and students in the Southeast; support the development of young faculty at various schools and help them build local support and research networks; broaden participation of underrepresented groups, particularly women; and foster research interactions among participants, leading to new research results.Combinatorics is a growing and important area of mathematics. The focus of combinatorics is the structure of discrete (as opposed to continuous) sets of objects. Combinatorics is critical to many areas of mathematics, and plays a key role in computational, scientific, and engineering applications. The states of North Carolina, Virginia, South Carolina, Georgia, Kentucky, and Tennessee have significant research strength in combinatorics and adjacent areas. In particular, there are remarkably many tenure-track researchers, senior researchers, postdoctoral scholars, and graduate students in combinatorics and related fields at various colleges and universities within driving distance of the Research Triangle region of North Carolina (Raleigh, Durham, and Chapel Hill). A relatively large proportion of these researchers are from underrepresented groups. The lecture series provides valuable opportunities for interactions among these researchers.