# A class field theoretic phenomenon

In this post we discuss one example of what’s called a ‘class field theoretic phenomenon’. In particular, we focus on the application of trying to understand the property of when $X^3-2$ has three distinct roots modulo $p$, for various primes $p$.

# Some examples of Geometric Galois representations

In this post we discuss the Galois representation associated to a projective scheme $X/K$, where $K$ is a number field. We also discuss how this representation can be computed in several simple cases.