Riemann's Theta Function: From Algebraic Geometry to Water Wave Physics

Explore the central role of Riemann's theta function in mathematics, spanning algebraic geometry, number theory, mathematical physics, statistics, and cryptography. Delve into a comprehensive 18-minute lecture that presents results from ongoing research on theta functions of algebraic curves. Discover the fascinating connection between these mathematical concepts and the physics of water waves through the KP equation. Gain insights into the geometric, computational, tropical, and applied aspects of the theta function, as part of a long-term project to study and connect these various facets.

Riemann’s theta function