Page "John Tate" Paragraph 4

He has also made a number of individual and important contributions to p-adic theory ; for example, Tate's invention of rigid analytic spaces can be said to have spawned the entire field of rigid analytic geometry.

He found a p-adic analogue of Hodge theory, now called Hodge – Tate theory, which has blossomed into another central technique of modern algebraic number theory.

Other innovations of his include the ' Tate curve ' parametrization for certain p-adic elliptic curves and the p-divisible ( Tate – Barsotti ) groups.