Triangle Lectures in Combinatorics

该奖项支持参加组合学三角讲座(http://www.math.ncsu.edu/TLC).这些会议为期一天(星期六)，每学期举行一次。每一次会议都有来自全国各地的四位杰出的数学家就组合学的重大和令人兴奋的发展发表演讲。组合学研讨会中的三角讲座发挥了许多作用：它们通过创建和加强区域互动研究人员网络，加强国家研究和教育基础设施；促进尖端研究思想、方法和结果在美国东南部研究人员中的传播；通过让研究生接触领先研究人员的观点，促进研究生的教学和培训；提高东南部教职员工和学生对组合学的认识和理解；支持不同学校的年轻教师发展，并帮助他们建立当地的支持和研究网络；扩大代表不足的群体，特别是妇女的参与；并促进参与者之间的研究互动，导致新的研究结果。组合学是数学中一个日益增长和重要的领域。组合学的重点是对象的离散(而不是连续)集合的结构。组合数学对数学的许多领域都很重要，在计算、科学和工程应用中发挥着关键作用。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和邻近地区拥有显著的研究实力。特别是，在北卡罗来纳州研究三角地区(罗利、达勒姆和教堂山)附近的各个学院和大学，有相当多的终身教职研究人员、高级研究人员、博士后学者和组合学及相关领域的研究生。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.