Arithmetic dynamics investigates the behaviour of iterated functions—often polynomials or rational maps—over number fields and function fields, while Galois theory provides the framework to ...

Differential Galois theory extends the classical study of algebraic symmetries into the realm of differential equations. This area investigates the relationship between a differential equation’s ...

Galois groups were the first instances of the concept of a group, and Galois’ ideas blossomed into what today is a powerful, ubiquitous area of research called group theory. Galois groups provide a ...

To present an introduction to Galois theory in the context of arbitrary field extensions and apply it to a number of historically important mathematical problems. Consider a field, such as the ...

Galois theory; Homological algebra; Semisimple algebra. The MATH 8808-8809 sequence will cover the following topics: Point-set topology, fundamental group and covering spaces, smooth manifolds, smooth ...

Galois Capital, a crypto hedge fund that famously bet against Terra’s Luna token and once boasted $200 million in assets, told investors that it was shuttering after previously admitting that ...

He was only 20. Since then, historians have argued over who shot Galois—father of the mathematical concept known as group theory—and what the fight was about. Some suggest the duel was set up by ...