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Optimization and Gradient Descent on Riemannian Manifolds

One of the most ubiquitous applications in the field of geometry is the optimization problem. In this article we will discuss the familiar optimization problem on Euclidean spaces by focusing on the gradient descent method, and generalize them on Riemannian manifolds.

Posted by wiseodd on February 22, 2019

Notes on Riemannian Geometry

This article is a collection of small notes on Riemannian geometry that I find useful as references. It is largely based on Lee's books on smooth and Riemannian manifolds.

Posted by wiseodd on February 22, 2019

Minkowski's, Dirichlet's, and Two Squares Theorem

Application of Minkowski's Theorem in geometry problems, Dirichlet's Approximation Theorem, and Two Squares Theorem.

Posted by wiseodd on July 24, 2018

Journey to the West

Some stories from my last winter solo trip to China. I traveled from Far East China to Far West China, which means that it was my Journey to the West.

Posted by wiseodd on September 19, 2015