Craig is a Professor of Computer Science at Queensland University of Technology (QUT), who has a special focus on post-quantum cryptography and Zero Knowledge Proofs. He was previously a Principal Researcher at Microsoft Research at Redmond. Craig did his PhD at QUT from 2008 to 2012, and received a Fulbright Scholarship with UC Irvine from 2010 and 2011. In 2015, Craig published details of the FourQ elliptic curve, and which is one of the fastest curves around.