In my view, mathematics is a largely social activity, and one whose history contains countless issues surrounding unequal access and fixation on particular “geniuses.” I believe the following axioms to be self-evident, and they guide my perspective.

Federico Ardila’s axioms on diversity.

Axiom 1. Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.

Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.

Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.

Axiom 4. Every student deserves to be treated with dignity and respect.

Read more on Prof. Federico Adrila’s page.