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

- algebraic and complex geometry,
- algebraic number theory and arithmetic geometry,
- analytic number theory,
- commutative algebra and computer algebra,
- geometrical methods in physical theories,
- harmonic and functional analysis,
- mathematics education,
- mathematical logic and category theory,
- mathematical aspects of quantum mechanics and algebraic quantum field theory,
- microlocal analysis and partial differential equations,
- noncommutative derived geometry and mathematical physics,
- numerical analysis and computational methods with applications in medical imaging, neurosciences and astrophysics,
- probability and mathematical statistics.