Number theory

解析数论研究整数的性质，特别关注它们的构成要素，即素数。它是纯数学的一个经典领域，但目前正在经历革命性的变化。该领域在计算机科学、密码学以及最近的物理学中有着广泛的应用，例如，将粒子的行为与黎曼Zeta函数的零点的行为联系起来，Riemann Zeta函数决定了素数的行为。该研究计划旨在解决该领域的一些突出挑战，即与整数因数成素数的方式有关的挑战，并将这一新知识应用于网络安全领域。

Analytic number theory studies the properties of integers, with particular focus on their building blocks, the primes. It is a classical area of pure mathematics, yet currently undergoing revolutionary changes. The field has wide ranging application, in computer science, cryptography, and more recently physics, connecting for example the behavior of particles to the behavior of zeros of the Riemann zeta-function, which dictates the behavior of the primes. The research program aims to tackle some of the outstanding challenges in the field, namely those related to the way integers factor into primes, and apply this new knowledge in the field of cyber-security.