Juan de Ortega had no university education and he earned his living teaching commercial arithmetic, not in a university. He worked both in Spain and Italy and almost certainly had a teaching post and tutored privately as well.
Ortega's book A Tractado subtilisimo d'arithmetica y de geometria published in 1512 covered commercial arithmetic and the rules of geometry. In the book he gives a method of extracting square roots very accurately using Pell's equation, which is surprising since a general solution to Pell's equation does not appear to have been found before Fermat over 100 years later.
Very little is known about Ortega and it appears that his importance rests entirely on the interesting method for taking square roots. It is not easy to assess how significant this is since different historians place different significance on it.
Ortega also published Cursus quattuor mathematicarum artium liberalium in 1516.