Collaborative Research: Upstate New York Number Theory Conference

纽约地区在数论方面有着悠久的传统。最近，这一传统开始蔓延到该州的其他地区。该提案旨在发起在纽约州北部举行的数论定期年度会议。这四名研究人员代表了四所不同的领先机构：宾厄姆顿大学、康奈尔大学、纽约州立大学布法罗分校和罗切斯特大学。现代数论关注的是一系列问题；有些可以追溯到古希腊，而另一些则是受到当代技术问题的推动，比如数据加密。纽约州北部的数论研究涵盖了许多这样的主题。在教师水平的研究方面，该提案将整合该地区几位孤立的专家，创造一个促进合作和未来工作新方向的环境，同时加强纽约州北部和纽约市附近研究人员之间的联系。这将维持和丰富该地区数论研究的智力价值。它还将帮助研究生和博士后接触顶尖专家的工作，让他们交流自己的研究和兴趣，并给他们相互交流的机会。

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.