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Aerodynamics, especially automotive aerodynamics, is a very complex subject. If you pursue this path in undergrad you'll need to get comfortable with advanced calculus and physics, as well as fluid mechanics. From experience, I would highly recommend getting involved with the car project teams at whatever university you decide to go to if you want to pursue a career in motorsport. Motorsport teams are looking for people that are not only exceptionally knowledgeable in their field but also passionate about racing.

As for things to read, there are loads of books on the subject. Understanding Aerodynamics by Doug McLean and Fundamentals of Aerodynamics by Anderson are two aerodynamics books sitting on my bookshelf.

For automotive/motorsport aerodynamics, the following are good books from my bookshelf:

Competition Car Aerodynamics by McBeath

Race Car Aerodynamics: Designing for Speed by Katz

Aerodynamics of Road Vehicles by Schuetz

Note, Aerodynamics of Road Vehicles is a full-on textbook and may be beyond what you're looking for, but it goes into great depth on a number of road vehicle aerodynamic topics.

One last book I came across on Amazon is Amateur Car Aerodynamics by Edgar. I haven't read this book, but the title sounds like the language may be more suited for people who don't have a background in fluid mechanics.

If there are any specific topics in fluid mechanics/aerodynamics that you are looking for I may be able to help find some.

This book is pretty awesome. I'm sure you could find a better price, I got my copy for like $35...

http://www.amazon.com/Ayrton-Sennas-Principles-Race-Driving/dp/1874557403/ref=cm_lmf_tit_25

Basically though you're trying to increase the corner radius to maximize mid corner speed. But there are also places where you would want to enter tight and sacrifice some mid corner speed to get on power earlier for a straight bit. Or take a wider entry line to brake late for passing or in a corner where it would be more beneficial to setup for the next corner. All lines depend on what happens before and after the corner.

Sorry if this is just a brain dump, I'm on my phone and formatting is hard...

The classics all still apply. The Carroll Smith "xxx To Win" series, Van Valkenburgh, etc. This is also a good place to start: http://amzn.com/0912656468

My team bought the LMP cars from Lola, so a lot of the basic geometry was pretty well baked in already. And obviously LMP cars don't have tube frames. The last time I participated in building a racecar from scratch was Formula SAE and that was um, I'd rather not admit how long ago. I'm probably not a great resource for you. Is there a subreddit for homemade racecars? I know a lot of the SCCA sports racers tend to be homemade, but it's been years since I've followed that either. If you start a homemade racecars subreddit, I'll subscribe to it.

There was a good technical analysis book for the new hybrid era, but I don't remember the name. Will try to find it when I'm on my laptop. IIRC it was something like 2015 Formula 1 technical analysis, and it has loads of drawings detailing the various components of the PUs. I also believe it was translated from French, or maybe Italian

edit: this is the book