Algebraic Geometry
Summary
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems. The geometric spaces that are investigated in algebraic geometry are more rigid than the ones studied in differential geometry, and yet include many interesting examples, for example Fano and Calabi-Yau varieties. In addition, algebraic geometry often provides insights to the related fields of arithmetic geometry, Lie theory, mathematical physics, moduli theory, and geometric representation theory.
Faculty