Évariste Galois

The theory of permutations is the key to understanding the solvability of equations.

I have not had the opportunity to develop my theories as fully as I would have liked.

My work will be understood and appreciated in the future.

I have shown that there is a profound connection between algebra and group theory.

The concept of a field extension is crucial for understanding the solvability of equations.

I have provided a criterion for determining whether a polynomial equation can be solved by radicals.

My ideas are revolutionary and will change the course of mathematics.

I have been a victim of political injustice.

My mathematical work is my legacy.

I have laid the foundation for modern algebra.

The theory of groups is a powerful tool for solving problems in mathematics.

I have shown that the general quintic equation cannot be solved by radicals.

My work is a testament to the power of abstract thought.