In this thesis, we consider a one-dimensional gas of \( N \) independent Brownian particles subject to stochastic resetting, with inter-reset times drawn from a general waiting-time distribution \( \psi(\tau) \). This includes the well-known Poissonian case, where \( \psi(\tau)=re^{-r\tau} \), and extends to more general classes of resetting, such as heavy-tailed and bounded distributions. While our study is focused on the one-dimensional case, the main results are easily generalizable to higher dimensions. Exploiting the renewal structure of the resetting dynamics, we derive explicit analytical expressions for the non-equilibrium stationary state (NESS) and various observables of interest, including particle density, extreme value statistics, order statistics, gap statistics, and full counting statistics.