PhD Position in Isogeny-Based Cryptography: Foundations and Cryptanalysis The University of Manchester in United Kingdom

This PhD position at The University of Manchester focuses on the foundations and cryptanalysis of isogeny-based cryptography, a cutting-edge area in post-quantum cryptography. As quantum computers threaten the security of current cryptographic protocols, isogeny-based schemes offer a promising solution by leveraging mathematical structures that remain secure against quantum adversaries.

The project is divided into two main research directions. The first explores foundational problems in isogeny-based cryptography, such as optimal path finding in supersingular isogeny graphs and applications in number theory. The second direction involves the cryptanalysis of newly proposed isogeny-based schemes, ensuring their claimed security levels are robust and reliable.

Applicants should possess a strong mathematical background, ideally holding an MSc in Computer Science or Mathematics. Familiarity with cryptography, number theory, isogenies, and practical implementation of cryptographic protocols is beneficial but not strictly required. Exceptional candidates with a four-year Bachelor’s degree are also encouraged to apply. While publication experience is not mandatory, it can strengthen applications, especially for international candidates seeking funding.

Funding is available for excellent candidates through competence-based faculty awards, covering tuition fees and providing a tax-free stipend at the UKRI rate (£20,780 for 2025/26), with annual increases expected. Self-funded students are also welcome. The anticipated start date is October 2026, and applications are accepted year-round, though early application is recommended as the advert may be removed before the deadline.

Prospective students are strongly encouraged to contact the supervisors, Dr B Magri and Dr T Fouotsa, before applying. Supervisor profiles are available at bernardomagri.eu and borisfouotsa.com. The application process requires submission of transcripts, CV, a supporting statement detailing motivation and relevant experience, and contact details for two referees with official university or work email addresses. An English language certificate is required for non-native speakers.

The University of Manchester is committed to equality, diversity, and inclusion, welcoming applicants from all backgrounds and offering flexible study arrangements, including part-time options. For further details and to apply, visit the university’s application portal at uom.link/pgr-apply-2425. For questions, contact the admissions team at [email protected].