[9] Bombieri is also known for his pro bono service on behalf of the mathematics profession, e.g. for serving on external review boards and for peer-reviewing extraordinarily complicated manuscripts (like the paper of Per Enflo on the invariant subspace problem).

It improves Dirichlet's theorem on prime numbers in arithmetic progressions, by showing that by averaging over the modulus over a range, the mean error is much less than can be proved in a given case.

[20] With his powder-blue shirt open at the neck, khaki pants and running shoes, he might pass for an Italian film director at Cannes.

In a recent painting, Bombieri, a one-time member of the Cambridge University chess team, depicts a giant chessboard by a lake.

He's placed the pieces to reflect a critical point in the historic match in which IBM's chess-playing computers, Deep Blue, beat Garry Kasparov.