Algebraic geometry1978
Geometry behind counting finite-field solutions
Numbers of solutions over finite fields follow patterns constrained by the geometry of the equations.
The storyAn award edition
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Numbers of solutions over finite fields follow patterns constrained by the geometry of the equations.
The storyHigher-dimensional analysis requires attention to boundary geometry and frequency interactions that one-dimensional intuition can miss.
The storyIn suitable higher-rank Lie groups, a discrete lattice can retain unexpectedly strong information about its continuous environment.
The storyHigher algebraic K-theory uses spaces and homotopy to record relationships among algebraic objects that simpler invariants cannot capture.
The story