Current Projects

UCSB Qual study guides:


Problems from the various analysis qualifing exams. Analysis Study Guide
Problems from the various ODE/PDE qualifing exams. ODE/PDE Study Guide
Problems from the various algebra qualifing exams. Algebra Study Guide

Disclaimer:

I know there are plenty of typos in my work, if you see any please contact me so I can correct them. If there is a more straight forward proof for something or a proof is incorrect please contact me. Thanks.

Project Files

Complex Analysis Study Guide

Study guide for a Complex Analysis Qualifing exam.

Real Analysis Study Guide

Study guide for a Real Analysis Qualifing exam. Contains key theorems, assorted problems and solutions.

Introduction to the tensor product

Not really a project, but a few pages of notes on the tensor and wedge products, with examples from geometry, from a lecture I gave.