Itô integration gives meaning to random differentials

Turing became a founder of theoretical computer science and made influential contributions to logic, cryptanalysis and artificial intelligence.

His abstract device clarified what it means for a procedure to be mechanically calculable.

At Bletchley Park, Turing and a large team used logic, statistics, engineering and intercepted communications against Nazi Germany.

His 1952 conviction and forced hormonal treatment show how a state could exploit mathematical talent while criminalizing the mathematician.

Itô created stochastic calculus, a mathematical framework for systems influenced by continuous random change.

The result connects functions of stochastic processes to differential equations and now underpins work in physics, biology and finance.

Itô produced foundational work while probability struggled for status and Japan experienced severe wartime disruption.

The election recognized his investigations in elliptic functions and number theory, making him one of the youngest Fellows.

The honour increased Ramanujan's visibility while also revealing how recognition was controlled through metropolitan academies.

Correspondence and collaboration helped translate his compact formulas into forms accepted by British mathematical culture.