• Ordinary differential equations in the complex domain. Formal and analytic solutions. Stokes multipliers.
  • Formal and analytic solutions of partial differential equations.
  • Formal and analytic solutions of difference equations (including q-difference and differential-difference equations). Special functions (hypergeometric functions and others), orthogonal polynomials, continuous and discrete Painleve equations.
  • Integrable systems.
  • Holomorphic vector fields. Normal forms.
  • Asymptotic expansions, Borel summability.