The Mathematics Underlying Cryptography

随着我们的电子邮件、医疗、金融和其他个人信息转移到Web上，同时保证隐私、数据可用性和计算正确性的需求是NSF和我们的社会最关心的问题。本研讨会将探讨满足这些需求的数学工具。讲习班还将讨论为根据这些数学发展创造实际解决办法和新技术而进行的共同努力。研讨会将向所有潜在参与者开放，调查结果(包括演示视频)将分发给公众，以征求意见和参与。该奖项将支持学生参加研讨会，国际和平协会将积极招募来自不同背景的科学家。将考虑的数学工具包括整数格子、椭圆曲线、双线性和多线性映射、代码和计算学习理论。

As our e-mail, medical, financial and other personal information is migrating to the Web, the need to simultaneously guarantee privacy, availability of data, and correctness of computations is a paramount concern for NSF and for our society. This workshop will explore mathematical tools for addressing these needs. The workshop will also address the ongoing concerted effort to create practical solutions and new technologies based on these mathematical developments. The workshop will be open to all potential participants, and the findings (including videos of presentations) will be distributed to the public for comments and engagement. This award will support students to attend the workshop, and the PI will actively recruit scientists from a diversity of backgrounds. The mathematical tools that will be considered include integer lattices, elliptic curves, bi-linear and multi-linear maps, codes, and computational learning theory.