School leaving examination at the secondary school in Kiuruvesi
Master of Science at the University of Turku
Licentiate of Philosophy at the University of Turku: laudatur degree in mathematics, applied mathematics, and astronomy; approbatur degree in physics
Doctor of Philosophy at the University of Turku
Docent of mathematics at the University of Turku
Competence stated for the chair of associate professor in mathematics, especially applied mathematics, at the University of Kuopio
Competence for the chair of associate professor in computer science at the University of Joensuu
Approbatur degree in Spanish language and literature