# Mattia Sanna

I have just completed my Ph.D. under the supervision of Prof. John Cremona. I am mainly interested in Galois representations from both computational and theoretic point of view.

PhD Project: On the equivalence of 3-adic Galois representations. (currently under examination) - The project is focused on two dimensional Galois representation with values in $\mathrm{GL}_2(\mathbb{Q}_3)$. The theory and the methods developed leads to a fully implemented 3-adic version of the classic 2-adic Faltings-Serre method. It presents also an application to the recent results in modularity lifting.

Talks.

Events.

I have co-organised the following events

Writings.

• Determining 2-dimensional $\mathbb{F}_3$-Galois representations. (In preparation).
• An effective 3-adic Faltings-Serre Method. (In preparation).

TA and Support Classes.