Post Quantum Cryptography

The project focuses on the challenge posed by quantum computers, which will be able to break current public-key cryptographic systems using Shor’s algorithm for factoring integers. Efforts are underway globally to develop secure protocols to counter these future attacks. A recent cryptographic approach, Supersingular Isogeny Key Encapsulation (SIKE), based on elliptic curve theory, was unexpectedly broken. This project explores a higher-dimensional setting where elliptic curves are mapped through group operations. It aims to investigate whether non-commutative symmetry groups can lead to potential cryptosystems.

Shirley Wang

The University of Sydney

Shirley is currently towards the end of her second year studying Mathematics, Computer Science and Physics at the University of Sydney.

She has undertaken research projects in Particle Physics, Quantum Systems, Machine Learning and Lagrangian Dynamics, and is grateful that the AMSI Research Scholarship will give her a chance to dive into a new mathematical topic over the Summer break.

Outside of her studies, Shirley serves as Secretary of the Women and Diverse Genders in Maths Society and Treasurer of the Sydney University Mathematics Society. She also mentors high school students in STEM coursework and loves to read (she is currently making her way through the Japanese novel, A Personal Matter)!

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