The members of our group have varied interests that encompass several areas in Analysis and Number Theory. Roughly speaking, it can be said that the unifying topic is Fourier analysis and the aims are the applications of its methods to some problems that lie mainly in analytic number theory, combinatorics and PDEs. If you think that a picture is worth a thousand words, the following wordle image built out of the titles, keywords and subject classification of our recent papers may help to catch a glimpse of our research:

Research lines

Keeping in mind the MSC2010, a more concrete list of our research lines is:
  1. Sequences and sets.
  2. Multiplicative number theory.
  3. Harmonic analysis on Euclidean spaces.
  4. Additive number theory.
  5. Discontinuous groups and automorphic forms.
  6. Fluid mechanics.
  7. Ergodic theory.
  8. Graph theory.