Short summary: Tabbys Star is the one that has the mysterious dips in brightness that some have suggested might be because of a Dyson Sphere, but according to the article, that proposal is just as unlikely as anything else that has been suggested (due to the lack of IR-emissions).
To solve the mystery, they need to get observations during a dip which costs them money for the telescope time. Tabby has a Kickstarter campaign to do this, and she's asking for 100k USD. With 4 days left, they still need some more money.
I think I'll donate to this one.
https://www.kickstarter.com/projects/608159144/the-most-myst...
