Research Preprints

1. Cartesian systems (in preparation)



2. Ultra Kolyvagin systems and the structure of Selmer groups as Iwasawa modules. (in preparation)



3. Kolyvagin systems of rank 0 and the structure of the Selmer group of elliptic cuves over abelian extensions (apr. 2025, submitted)

PhD Thesis

• Kolyvagin systems and higher Fitting ideals of Selmer groups.
  Submitted, available upon request.
  
  

Survey Articles

• Mazur's Control Theorem
  
  

Other mathematical writing

• Classification of finite groups of small orders. (Spanish)
  Bachelor's thesis in Mathematics, supervised by José Javier Etayo Gordejuela.
  
  
• Penrose Singularity Theorems in General Relativity
  Bachelor's thesis in Physics, supervised by Diego Rubiera García.