As a legal scholar, Jutila is interested primarily in conceptual law, proposing conceptual reforms in topics such as human rights, criminal law, standing doctrine, and other miscellaneous topics such as the nature of jurisprudence itself, and in further developing schools of thought and interpretation such as hard positivism, and strict constructionism.
As a philosopher, Jutila is interested in many areas, such as the philosophy of science, political philosophy, metaphilosophy, metaphysics, and philosophy of mathematics, aiming to advance the fields by contributing his own interpretations and philosophies.
As an arithmetician, in combination with philosophy of mathematics, Jutila is interested in exploring alternative concepts and mathematical definitions and propositions in elementary arithmetic, and numbers, contributing to the fields by creating or expanding concepts to be examined by the fields, and as demonstrations of the internal validity of alternative systems.
As an author of articles and opinion essays, Jutila is interested both in providing his own opinions on matters such as human rights, world peace, gender equality, disability, and other such things, and in providing scholarly contributions through public-facing formats for greater understanding of such concepts, among few other miscellaneous interests.