Biomedical and Electrical Engineer with interests in information theory, evolution, genetics, abstract mathematics, microbiology, big history, IndieWeb, mnemonics, and the entertainment industry including: finance, distribution, representation
At the most basic level [book:Getting What You Came For: The Smart Student's Guide to Earning an M.A. or a Ph.D.|460669] has some relatively sound advice. If you need something entertaining my friend Adam Ruben's book [book:Surviving Your Stupid, Stupid Decision to Go to Grad School|7769479] is pretty good.
For some of the other topics you mention, start reading The Chronicle of Higher Education. Most of it is available online without a subscription, but they've got lots of current faculty writing regularly on the topics you mentioned.
Slowly you'll find a community of online professors like Robert Talbert (http:/
On twitter, you might consider following some the people on this list to start: https:/
Within twitter, there are a handful of hashtags you might following/comment along with including: #mathchat, #PhDchat, #PhDLife and likely a handful of others.
On the practical side, consider creating accounts on mendeley.com, academica.com, researchgate.com, etc. as a way to find people, help, material, etc. You might also consider starting yourself a blog (aka Commonplace book) to collect all your thoughts: http:/
Finally, for graduate level math, I highly recommend spending the $100-200 for a Livescribe Pulse pen: http:/
Feel free to ping me here or via other means (http:/