Towards a global view of the habitability around Cool Dwarfs

The discoveries of systems like Proxima and TRAPPIST-1 shed light on the exotic 
dynamics and environment of planets orbiting very cool dwarfs. These systems 
are very different from our own. For instance, TRAPPIST-1 hosts extremely 
close-in planets, in an extremely compact configuration. These planets are 
therefore tidally evolving meaning that their eccentricity is being damped, 
their rotation period evolves towards synchronicity and their obliquity is 
damped. At the same time, planet-planet interactions are pumping the 
eccentricity and impact rotation and obliquity as well. 
Eccentricity, rotation and obliquity are important quantities to assess the 
climate of the Habitable Zone planets around these stars.
In this context, the key question which motivates my research is: What is the 
influence of tidal evolution on the climate and habitability of exoplanets?
There are two ways to answer this question. The first one aims at trying to 
understand and reconstruct the tidal/insolation history of the planets in 
order to assess their present-day state. The second one aims at systematically 
investigating the effect of rotation and eccentricity on climate patterns 
using a Global Climate Model to see if they could be 
observed with the next generation of instruments.