Integrability, Quantization, and Geometry

Mathematics Influence Algebraic Geometry Topology Homology theory Quantum theory Influence (Literary, artistic, etc.) Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20] Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials [See also 13Nxx, 32C38] Algebraic geometry -- Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] -- Zeta-functions and related questions [See also 11G40] (Birch-Swinnerton-Dyer conjecture)