Title: Self maps of HP^n via the unstable Adams spectral sequence Authors: Gustavo Granja AMS Classification numbers: 55S35,55S36,55S37 Address of Author: Departamento de Matematica Instituto Superior Tecnico Av. Rovisco Pais 1049-001 Lisboa Portugal Email address of Author: ggranja@math.ist.utl.pt Abstract: We use obstruction theory based on the unstable Adams spectral sequence to construct self maps of finite quaternionic projective spaces. As a result, a conjecture of Feder and Gitler regarding the classification of self maps up to homology is proved in two new cases.