Collaborative Research: Upstate New York Number Theory Conference

纽约市地区在数论方面有着悠久的传统。 近年来，这一传统开始向全国推广。 这项建议旨在发起一个定期的年度会议在数论将在北部纽约举行。 这四位研究人员分别代表了宾汉姆顿大学、康奈尔大学、纽约州立大学--布法罗分校和罗切斯特大学这四个不同的领先机构。现代数论关注的问题很多;有些可以追溯到古希腊人，而另一些则是受到当代技术问题的启发，比如数据加密。 纽约北部的数论研究涵盖了许多这些主题。在教师一级的研究，这一建议将整合该地区的几个孤立的专家，并创造一个环境，刺激合作和未来的工作新方向，同时加强研究人员之间的联系在上纽约和那些附近的纽约市。 这将保持和丰富该地区数论研究的知识价值。它还将帮助研究生和博士后，让他们接触到顶尖专家的工作，让他们交流自己的研究和兴趣，并让他们有机会相互交流。

The New York City area has long tradition of great strength in number theory. Recently, this tradition has begun to spread to the rest of the state. This proposal seeks to initiate a regular annual conference in number theory to be held in Upstate New York. The four investigators represent four different leading institutions: Binghamton University, Cornell University, SUNY--Buffalo and the University of Rochester.Modern number theory focuses on a host of problems; some date back to the ancient Greeks, while others are motivated by contemporary problems in technology, such as data encryption. Number theory research in Upstate New York runs the gamut of many of these topics. At the faculty level research, this proposal will integrate several isolated specialists in the region and create an environment that stimulates collaborations and new directions for future work, while at the same time strengthening ties between researchers in Upstate New York and those near New York City. This will maintain and enrich the intellectual merit of the region's number theory research. It will also help graduate students and post-docs by exposing them to work of leading experts, by allowing them to communicate their own research and interests, and by giving them the chance to interact among themselves.