Experimentally it is found that vesicles of genus 2 changes shape continously and randomly on a slow time scale (tens of seconds).
This process is called conformal diffusion. From a theoretical point of view this process can be understood in terms of a continously degenerate ground state of the system.
The aim of the project is to understand the concept of conformal invariance to the application on vesicle shapes, as well as perform actual numerical simulations of the genus 2 vesicles.
The numerical simulations are performed by minimizing the so called Helfrich Hamiltonian (which describes the bending elasticy properties of the vesicle) with appropriate boundary conditions.
The project can easily be extended into Advanced Living State Physics