Jasmine S. Burns

Sheaf-Theoretic Obstructions in Higher Dimensions and Topological Rigidity in the Affine Plane

For nearly nine decades, the Keller Jacobian conjecture stood as a fundamental open problem in affine algebraic geometry, proposing that a polynomial mapping $F: \mathbb{C}^n \to \mathbb{C}^n$ with a non-zero constant Jacobian determinant possesses a global polynomial inverse. Th...