My latest (and likely last!) paper is up on arXiv today! As the title says, it's about the "Relative Habitability of Exoplanet Systems with Two Giant Planets".
Go check it out https://arxiv.org/abs/2205.02777
Or for a TL;DR, continue
The basic idea is, given an exoplanet system with 2 giant planets, what can we say—from a dynamical perspective—about its ability to host a habitable Earth-like planet?
We focus here on whether the system would be stable and how the exo-Earth's eccentricity would be changed.
Unstable systems (planets ejecting or colliding): not habitable. Easy enough, except the question of whether an arbitrary 3-planet system is stable is, um, HARD. In this case, I used a bunch of different predictive techniques that have been developed by other scientists.
The question of whether an Earth-like planet is habitable and a given semi-major axis and eccentricity is likewise HARD. I (intentionally) use a very simple model here based on existing work in the field. This framework is very adaptable with other habitability models!