Can I ask if there are any other oxidising agents present, because I'm struggling to get up to the ketone level. I don't want to check the paper myself because it would spoil the fun.
So far I've formed an iminium between the amine and the formaldehyde and done an aza-Cope. Problem is my product doesn't seem to have the required electronics to form the architecture of the final compound, because my alkene is polarised the wrong way. I feel like there needs to be some oxygen in the starting material. If there was a lone pair donor substituent (OH, NH, SH etc.) at the allylic position then I can see what's happening, but for now I'm stumped.