What consensus algorithm is MimbleWimble/Grin using? Does it use Zero Knowledge Proofs as well? Understand that MimbleWimble/Grin is privacy centric.  Does it use Zero Knowledge Proofs to achieve the privacy goals?

In addition, what consensus algorithm is MimbleWimble/Grin using?
Understand that MimbleWimble/Grin is privacy centric. Does it use Zero Knowledge Proofs to achieve the privacy goals?


Yes. Zero Knowledge Proofs (specifically, Range Proofs. Possibly Bulletproofs in the future) contribute to the privacy goals of Grin by giving validators the ability to verify that no inflation or deflation occured in a transaction without needing know the amounts transacted.


  In addition, what consensus algorithm is MimbleWimble/Grin using?


Grin uses Nakamoto Consensus (Proof of Work) with the Cuckoo Cycle PoW system. You can find more information on that here: https://github.com/tromp/cuckoo