I will begin by introducing the paper Flandoli-Gubinelli-Priola IM 2010 regarding a singular stochastic transport equation. This appears to have been the first paper concerning a PDE of interest in fluid dynamics that becomes well-posed under the influence of a (multiplicative) Wiener noise. Next, I will discuss several developments and research directions stemming from this work. The first direction involves papers on regularization by transport noise of Wiener type. This field has grown significantly, leading to several important ramifications. I will primarily focus on works published up to 2015. A second direction concerns singular stochastic evolution equations in infinite dimensions. In this regard, the mentioned paper and the theory of Kolmogorov equations in infinite dimensions inspired the seminal paper Da Prato-Flandoli JFA 2010 on strong uniqueness for SPDEs with H\"older continuous and bounded coefficients. I will also mention some recent developments in this area. Finally, I will explore regularization by Lévy noise.