I'll be starting my PhD this fall, and I intend on entering the field of Theoretical Particle Physics. I was just wondering what I could do to get a head start in the next two months that would help me secure some positions for research within the school. I figure I'd need to pick up a book on whatever mathematic basis is mainly used for theoretical and experimental research to enable me to pick up the newest articles and have a chance at understanding their contents. I also wonder what resources there are online with which I could educate myself more quickly on particle physics. I have a decent understanding of the overview of particles and their interacitons. I'm not looking for something basic. I'm looking for something that, once I learn the mathematics needed, I can begin learning immediately in a very in-depth manner. My mathematics background now is up to and including Partial DiffEq(BVP,etc), a basic Linear Algebra, and Complex Analysis. I'm currently reading a textbook on Algebraic Topology and set theory that I felt I should know, if only as a base. What other mathematics are used that I should pick up on my own? As you can see, its the tools(math) to learn the material that I'm primarily concerned with, not the material (physics) itself. I have no doubt I can understand almost anything so long as I understand the notation used to describe it.