These are things named after W. V. D. Hodge, a Scottish mathematician.
Hodge algebra Hodge–Arakelov theory Hodge bundle Hodge conjecture Hodge cycle Hodge–de Rham spectral sequence Hodge diamond Hodge duality Hodge filtration Hodge index theorem Hodge group Hodge star operator Hodge structure Mixed Hodge structure Hodge–Tate module Hodge theory Mixed Hodge module Hodge–Arakelov theory p-adic Hodge theory