Exponential asymptototics has been a very active area of research in the last 3 decades. It started with fundamental work by Berry, Ecalle and Kruskal. Small exponentials are usually responsible for the divergence of asymptotic series. Resurgence enables the divergent tails to be decoded to yield these exponentials. Including these small exponentials leads to exponentially- improved asymptotics at several levels: hyperasymptotics. Via resurgence we are now able to compute the so-called connection coefficients, or Stokes multipliers. I will demonstrate the latest progress of exponential asymptotics for ODEs and PDEs.