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.