The Game of Life-simple rules, complex behavior

Here’s a video introduction to the Game of Life Historically, one of the pioneers of computer science John von Neumann was interested in finding machines which could reproduce themselves. He developed an abstraction allowing him to mathematically model his work on a computational grid. A mathematician John Conway took up and simplified his work publishing Read More …

Road To Reality–Part I

This past year I read Roger Penrose’s The Road to Reality: A Complete Guide to the Laws of the Universe

The tome is definitely the read for anyone interested in our current understanding of reality from the ground up. It doesn’t shy away from mathematics like most popular science accounts. Rather, as mathematics is the gasoline to travel the Road, it fuels the reader up along the journey. Yet the mathematics quickly progresses from exploring what a number exactly is to a graduate level textbook equivalent and this whirlwind journey is not to be taken lightly. Rather than a Road, I actually consider The Road to Reality to be more of a Roadmap indicating a path to reality without fully providing the reader with the tools to travel it. It worked for me–a Physics PhD student–as most of the book was putting familiar things in a grander context. However, for those not on the Road as a career, supplemental work is probably needed to get the most out of the book. In the that spirit I am presenting a condensed Roadmap in chunks of 6 chapters (there are a whopping 34 chapters covering 1123 pages) with additional links to online courses (primarily sourced from the wonderful Khan academy, Coursera, and MIT OCW).

Without further ado, I present the Roadmap I of VI of Chapters 1-6 of The Road to Reality: Read More …

Green's functions

Some of the most important equations in physics can be solved by constructing a beast with a curious set of properties, called a Green’s function. This post contains some interesting nuggets from a lecture I gave on St. Patrick’s day about Green’s functions to the course I assist, Mathematical Methods in the Physical Sciences II. I’ll Read More …

Semester in Review

This semester was my first full semester as a PhD student. I got my feet wet with some projects, assisted teaching a course, and advised a student on his Bachelor’s thesis. After a semester of  what amounted to preparation, I’m excited to bring both my teaching and projects to the next level this coming semester. Read More …