Rational points on analytic varieties
  These are expanded notes of the mini-courses on Pila's work that Yuri Bilu gave in Basel in April 2011, Yaroslavl in August 2011 and Chennai in February 2012. The topics covered include the Bombieri-Pila theorem, its extensions and applications to some prominent conjectures (Manin-Mumford, Andr\'e-Oort). 
Alexey Beshenov, Margaret Bilu, Yuri Bilu, Purusottam Rath
math.NT