In this article, I want to talk about one of the most influential theorem/formula in algebraic geometry and complex geometry — Riemann-Roch theorem. It tells you how to link local property (points that certain functions behave specially) and global properties (shape of the curves/surfaces). …

Relationship with Deep Learning

Recently, I have followed professor David Gu of Stony Brook university on some computational geometry stuff. It’s enlightening that fundamental mathematics have such profound impact on computer science and machine learning. Since my background is algebraic geometry/topology, I find this field smooth and exciting to follow…