Writings

[Browse by categories]    [Tag cloud]

A follow up to my previous post on Young's inequality.
Last updated on 10 min read expository

Some introductory notes about the definition and geometry of Lie groups, and their analysis.
Last updated on 19 min read expository

As we all learned in a first course in PDEs, for "reasonable" initial data $u_0$, the solution to the linear heat equation …
Last updated on 4 min read mathematical diversions

This post is about the formulation of the dynamics of a rigid body, under rotations, as dynamics on a Lie group. I'm writing this to …
Last updated on 9 min read expository

Some notes on the relationship between different models of hyperbolic plane
Last updated on 6 min read expository

Preliminaries Here's something I learned from Chongchun Zeng of Georgia Tech, while chatting over some hors-d'oeuvres at the AMS …
Last updated on 6 min read expository

Some non-intuitive facts about periodic functions
Last updated on 4 min read mathematical diversions

A proof of a generalized form of Young's inequality is given without the need of interpolation theory.
Last updated on 6 min read expository

A quick introduction of Newton-Cartan theory, which is a sort of Newtonian limit of general relativity from a geometric point of view.
Last updated on 32 min read expository

A brief introduction to affine differential geometry and the notion of preferred volume forms.
Last updated on 13 min read expository