This was a rather short session, but during the Jazz Masterclass a lot of this subject was covered.
It is beneficial for a classical player to now jazz and the other way around.
What can you learn from jazz?
Special exercise for jazz
Play Clarke in different modes. C7 - (flat seven), -5 (flat five). Bb and F# in C major.
Allen have done this so much that he has trouble playing Clarke in Major keys.
When tempo goes up, straighten it out. Like in "jazz-writing": Swing is written in straigh eight notes.