Pip Goodman

Ph.D. student working with Galois representations and endomorphism algebras of abelian varieties

Hello and welcome to my website! I'm a final year PhD student working under the supervision of Tim Dokchitser.

My work focuses on the interactions between Galois representations and endomorphism algebras attached to abelian varieties. For example, what constraints do the images of the residual representations impose on the endomorphism ring? Or what Galois groups can be realised via Galois representations attached to abelian varieties with non-trivial endomorphism ring?

I coorganise Bristol's Linfoot Number Theory seminar with Andrew Booker and Nirvana Coppola. Links to titles and abstracts (when they become available) can be found on the menu above. All are welcome to join!

Together with Nirvana Coppola, Dan Fretwell, Ayesha Hussain, Simone Muselli and Andrei Seymour-Howell, I am organising the third edition of Young Researchers in Algebraic Number Theory.