Mathematician in 1800: Plimpton 322 and the scribal schools

"Mathematician" descends from the Greek mathema, "that which is learned," and the Pythagorean brotherhood of the sixth century BCE already reserved the word mathematikoi for its inner circle, the ones trusted with the actual reasoning. It is the oldest profession built entirely on abstraction: Babylonian scribes were solving quadratic problems on clay tablets around 1800 BCE, and the theorems Euclid proved in Alexandria around 300 BCE are still true, still taught and still cited — a permanence no other field's founders can claim.

The modern job splits in two. A few tens of thousands of research mathematicians worldwide prove new theorems at universities and institutes, a career that runs through a PhD, years of postdoctoral wandering and a brutally narrow academic market. A far larger group applies the same training in finance, cryptography, machine learning and government: the US Bureau of Labor Statistics counted only a few thousand people holding the literal job title "mathematician" in 2023, while math-trained quants, actuaries and data scientists number in the hundreds of thousands.

This page follows the trade from Plimpton 322 and the Rhind Papyrus through al-Khwarizmi's Baghdad, the Newton–Leibniz calculus feud and Hilbert's 23 problems, to Wiles's attic, Perelman's refusals, and machines that now solve olympiad problems at gold-medal level. It covers how people actually become mathematicians in different countries, what the daily craft looks like, who reached the top of the profession and how — and how much of the work AI can realistically absorb.