### Sums-of-Squares Programming: Introduction

Introduction to the theory and use of SOS programming.

I am a PhD student in the Department of Applied Mathematics at the University of California, Santa Cruz. Under the advisement of Professor Ricardo G. Sanfelice, I study various topics within the domain of hybrid systems. My research interests include

- Switching schemes between multiple controllers for achieving asymptotic stability
- Approximation theory for hybrid systems
- Model predictive control
- Numerical simulation of hybrid systems

Outside of research, I have wide-ranging interests including music, art, improv, and reading. You can find links to my presence across the internet at my LinkTree.

Introduction to the theory and use of SOS programming.

Introduction to the \changes package for annotating chnages.

A brief introduction to my field of research.

A guide to talking about numbers in a way that helps the audience remember and understand them.

A guide to choosing clear, memorable notation in mathematical writing.