Title: Descent conditions for generation in derived categories

Abstract: This work establishes a criterion that determines when strong generation within the bounded derived category of a Noetherian scheme is preserved under the derived pushforward of a proper morphism. Consequently, this criterion produces upper bounds on Rouquier dimension of the bounded derived category, and applications concerning affine varieties are studied. Finally, it is demonstrated that the bounded derived category of a Noetherian scheme of finite type over a perfect field admits a strong generator, yielding new examples that may not necessarily be separated.