Research lines

The research lines active within the PhD programme in Mathematics and Applications:

  • Harmonic and functional analysis
  • Mathematical logic and category theory
  • Commutative algebra and computer algebra
  • Complex projective geometry
  • Analytic number theory
  • Arithmetic geometry and algebraic number theory
  • Geometrical methods in physical theories
  • Mathematical aspects of quantum mechanics and algebraic quantum field theory
  • Probability and mathematical statistics
  • Numerical analysis and computational methods with applications in medical imaging, neurosciences and astrophysics