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Quantum computing promises to be one of the acclaimed revolutions of the 21st century. But to avoid certain catastrophe, humankind has one major issue to address before a large-scale quantum computer is built. Craig Costello is a researcher in cryptography at Microsoft in the USA. He works on cryptographic applications of computational number theory and computational algebraic geometry. In recent years Craig has focussed on using elliptic curves and lattices to achieve fast and secure post-quantum cryptographic systems. Craig graduated with a PhD from the Queensland University of Technology in Australia and recognised as an Australian-American fulbright scholar at the University of California, Irvine. Craig was a postdoctoral fellow at both Technische Universiteit Eindhoven in the Netherlands and at Microsoft Research in the USA. This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at https://www.ted.com/tedx