Pyrazolo[1,5-a]pyrimidine-based compounds of the formula are disclosed, wherein R1, R2 and R3 are defined herein. Compositions comprising the compounds and methods of their use to treat, manage and/or prevent diseases and disorders mediated by mediated by adaptor associated kinase 1 activity are also disclosed. As example of the compound is (S)-1-(2-(((3-(2-methoxyphenyl)pyrazolo[1,5-a]pyrimidin-5-yl)amino)methyl)pyrrolidin-1-yl)-3,3-dimethylbutan-1-one.