Theta functions in differential and arithmetic geometry

我的研究领域是算术几何，是数论和几何这两个数学子领域的交汇处。数论是对整数的研究，它本质上是离散的和刚性的。另一方面，几何处理的对象是连续的，可以以流体的方式拉伸、拉伸和变形。算术几何结合了这两种观点，应用几何世界的工具和直觉来更深入地了解数论现象，反之亦然。

My research lies in the field of arithmetic geometry, at the interface of two mathematical subfields: number theory and geometry. Number theory is the study of integers, which are essentially discrete and rigid in nature. On the other hand, geometry deals with objects that are continuous, that can be stretched and pulled and deformed in a fluid manner. Arithmetic geometry marries these two points of view, applying tools and intuitions from the world of geometry to gain greater insight into number theoretic phenomena, and vice versa.