An analysis of (leaked) PIN numbers from DataGenetics
Friends you can count on, from Steven Strogatz’ current New York Times series “Me, Myself, and Math”.
The Toolbox, the first episode of Samuel Hansen’s 8-episode audio series featuring stories from the world of mathematics.
Terry Tao has written a probablistic heuristic justification of the abc conjecture.
This is old news, but Stanford has an archive of Knuth video lectures.
(Oh, hey, I got a job! I start tomorrow.)
God plays dice 
Speaking of Knuth, are you acquainted with this collection of 97 videos of interviews with him?
Congrats on the job!
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