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 . 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.

• Linfoot Seminar - University of Bristol (January - 2020)
• Number Theory Seminar - University of Warwick (January - 2020)
• Y-RANT 2018 - The University of Sheffield ( November - 2018)

Events.

I have co-organised the following events

•  Y-RANT 2019, (6th - 8th November 2019, University of Warwick)
• Hodge-Tate Study Group, (October-December 2019, University of Warwick)
• Quaternion Modular Forms Study Group, (junior Number Theory study group, April - June, University of Warwick)
• Serre's "Proprietes Galoisiennes" Study Group, (April - June, University of Warwick)

Writings.

• Determining 2-dimensional -Galois representations. (In preparation).
• An effective 3-adic Faltings-Serre Method. (In preparation).

TA and Support Classes.

• MA257 - Introduction to Number Theory - (January - March 2020)
• MA257 - Introduction to Number Theory - (January - March 2019)
• MA3A6 - Algebraic Number Thoery - (January - March 2019)
• MA3D5 - Galois Theory - (October - December 2019)
• MA257 - Introduction to Number Theory - (January - March 2018)