Rohan Senapati

Number Theoretic and Ergodic Theoretic Applications of Complex Geometry

Started May 28, 2024

Abstract or project description

The project will help readers understand the simple but powerful connections between complex numbers and geometry. It will illustrate this through applications to number theory and ergodic theory. In number theory, the project will demonstrate how the geometry of the complex roots of an integral polynomial is related to the distribution of its solutions over finite fields. In ergodic theory, the project will provide numerical evidence of a simple-to-state but deep fact that irrational rotations of a circle are ergodic. The project description will be updated as time continues.