This course will present the quantum mechanical basis for some of the most exciting topics in physics today. We will explore how physics at the smallest length scales (quantum physics) affects physics at the other galaxy-sized extreme (astrophysics), and how it could change the way we communicate and solve problems using digital technology (computation). Each class will present a few ideas or physical facts with reasonable mathematical depth: get ready to learn about Bell’s theorem, the Chandrasekhar limit, and much, much more! Each class will also have a handout containing all of the results presented in lecture, occasionally accompanied by presentation slides. Challenge problems and links to additional reading will be given out at the end of class.

This course will present a survey of some of the most exciting topics in the two subfields of physics most different in the length scales they study: quantum physics and astrophysics. Each class will present a single idea or physical fact with reasonable mathematical depth, as well as discuss some current research surrounding the topic. Get ready to learn about black holes, Bell's theorem, the Chandrasekhar limit, and much, much more! Each class will have a handout containing all of the results presented in lecture, occasionally accompanied by presentation slides. Challenge problems and links to additional reading will be given out at the end of class.

This class will cover a diverse array of subjects in enumerative combinatorics, at its core the art of counting carefully, from generating functions to partitions to Young tableaux to perhaps a taste of game theory, among other advanced topics. After presenting some classic topics in combinatorics as well as some results with delightful proofs, we will also address areas of current research in combinatorics, and describe how combinatorics is applied ubiquitously to solve important problems in computer science and physics, among many other scientific fields. Each class period will have a handout with all of the results presented in lecture, which will usually be derived completely with proof. Challenge problems will be given out at the end of class.