My hope is that over time I will populate this page with problems I find particularly insightful or helpful primers. For now, this page holds a sampling of writings I did.
This blog post discusses the paper “Compositional Thermostatics” by John Baez, Owen Lynch, and Joe Moeller. The series of posts on Dr. Baez’s blog gives a more thorough overview of the topics in the paper and is probably a better primer if you intend to read it. Like the posts on Dr. Baez’s blog, this blog post also explains some aspects of the framework in an introductory manner. However, it takes the approach of emphasizing particular interesting details and concludes with the treatment of a particular quantum system using ideas from the paper.
You want to find someone whose birthday matches yours. What is the smallest number of
strangers whose birthdays you need to ask about to have a 50-50 chance of matching?
This is a well known variation on the Birthday Paradox which I submitted to a work team-newsletter. I wrote a solution that should be read as semi-educational, the reader shouldn't need any background in probability to understand it.
This is a brief overview of simple SIR models. Hopefully, after reading this, you will have everything you need in order to skillfully google for further explanations of SIR models.
I wrote this as a primer for my teammates before beginning related work. The primer should be accessible to anyone analytically inclined.
The purpose of this project was to analyze the construction of Schwarz-Christoffel transformations and show the importance of its applications to fluid flow and electric potentials. The transformations were developed independently by Elwin Christoffel and Hermann Schwarz.
This writing on applications of the Schwarz-Christoffel should be read as a kind of survey of SC-transformations. It should be accessible to someone who has taken a first course in Complex Analysis. Please excuse typos there are likely many here.