# Aura-Cristiana Radu

## Project Title

'The extensions between simple modules for Ree groups of type F_4'

## Project Description

Let k be an algebraically closed field of characteristic p = 2. Let G = F4 be simply connected over k and let σ : G → G be an endomorphism such that the fixed point set G(σ) is a Ree group.

Used various methods to investigate the connection between the cohomology theories of the algebraic group G, Frobenious kernel Gr/2 and finite group G(σ), in order to improve the bounds on the size of |G(σ)| which permit one to identify the cohomology of the finite group with the algebraic group.

## Research Interests

- Homological algebra
- Representation theory
- Algebraic groups
- Modular Lie Algebras

## Education

Graduated with an MMath in Pure Mathematics from Durham University in 2018. My final year project involved studying the classification of Lie algebras, and in particular, modular Lie algebras; I was supervised by Dr W Klingenberg and Dr A Stasinski.

### Supervisors

### Contact

Email: a.radu2@newcastle.ac.uk