RTG: Algebraic and Arithmetic Geometry at the University of Illinois at Chicago

PI和共同PI正计划在芝加哥的伊利诺伊大学建立一个代数几何和算术几何研究培训小组。该项目的目标是提高美国公民和永久居民的比例，他们将接受数学研究方面的教育，并为从事数学科学事业做好准备。该项目包括对本科生、研究生和博士后研究人员的指导。PIS将致力于为本科专业开发一个研究计划，作为他们数学学位计划的一部分。计划举办一系列小型研讨会、学习研讨会和会议，以增强博士后研究人员和研究生的研究经验。PIS计划召开关于模型理论、算术几何和动力学以及代数几何应用的会议。代数和算术几何领域是研究数学的最基本、最多样和最活跃的领域之一。代数和算术几何学家使用代数、分析和拓扑学中的工具，研究由代数方程定义的几何对象的性质。从解析几何和数的基本性质开始，代数和算术几何技术已经发展成为解决数论和复几何、数学物理中的弦理论、密码学和计算机辅助几何设计中突出问题的重要工具。伊利诺伊大学芝加哥分校代数和算术几何研究培训小组的目标是招募、培养和发展年轻的科学家，他们是美国公民和永久居民，成为这一非常有趣和活跃的数学领域的研究人员。

The PI and the co-PIs are planning to establish a Research Training Group in Algebraic Geometry and Arithmetic Geometry at the University of Illinois at Chicago. The goal of the project is to increase the proportion of US citizens and permanent residents that will be educated in mathematical research and well prepared to pursue careers in the mathematical sciences. The project includes the mentoring of undergraduate students, graduate students and postdoctoral researchers. The PIs will work to develop a research program for undergraduate majors, as part of their degree program in mathematics. Series of mini-seminars, learning workshops, and conferences are planned to enhance the research experiences of the postdoctoral researchers and graduate students. The PIs have planned conferences on the applications of model theory, arithmetic geometry and dynamics, and algebraic geometry. The fields of algebraic and arithmetic geometry are among the most fundamental, diverse and active areas of research mathematics. Algebraic and arithmetic geometers study the properties of geometric objects defined by algebraic equations, using tools from algebra, analysis and topology. Beginning with analytic geometry and elementary properties of numbers, techniques in algebraic and arithmetic geometry have developed into important tools for solutions of outstanding problems in number theory and complex geometry, string theory in mathematical physics, cryptography and computer-aided geometric design. The goals of the Research Training Group of Algebraic and Arithmetic Geometry at the University of Illinois at Chicago are to recruit, to train and to develop young scientists who are US citizens and permanent residents to become researchers in this very interesting and active area of mathematics.