Check out my research statement for a brief overview of my thesis project. The intended audience consists of mathematicians who are not necessarily experts in equivariant stable homotopy theory. I wrote it in the fall of 2012.
Chapter 1 consists of basis definitions and examples of Mackey functors, Green functors, and Tambara functors. In Chapter 2 I build a new equivariant symmetric monoidal structure on the cateogry of Mackey functors. I completed my thesis in May 2013.