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| Centre for Mathematics and Cryptography | |
|---|---|
| Name | Centre for Mathematics and Cryptography |
| Established | 2010 |
| Type | Research institute |
| Director | Dr. Elena Korhonen |
| Location | Cambridge, United Kingdom |
| Affiliations | University of Cambridge, University of Oxford, Imperial College London |
Centre for Mathematics and Cryptography is an independent research institute based in Cambridge focused on advanced mathematical theory and cryptographic science. It engages with leading figures and institutions across Europe and North America to advance research in number theory, algebra, and applied cryptography. The centre fosters interdisciplinary work linking academic laboratories, industrial partners, and international standard bodies.
The centre was founded in 2010 by academics who had worked at University of Cambridge, University of Oxford, ETH Zurich, Princeton University, and Massachusetts Institute of Technology and who had collaborated on projects with National Institute of Standards and Technology, European Research Council, Wellcome Trust, Engineering and Physical Sciences Research Council, and Heilbronn Institute for Mathematical Research. Early initiatives drew on expertise from scholars associated with Alan Turing, Évariste Galois, Carl Friedrich Gauss, Srinivasa Ramanujan, and Paul Erdős lines of research, and partnered with laboratories at Microsoft Research, Google Research, IBM Research, and Intel Labs. Founding donors included trusts connected to Royal Society, Gatsby Charitable Foundation, and philanthropic links to Bill & Melinda Gates Foundation.
The centre's mission emphasizes rigorous investigation into problems influenced by work from Andrew Wiles, Peter W. Shor, Claude Shannon, Whitfield Diffie, and Martin Hellman, with research programs inspired by breakthroughs at RSA Laboratories, Bell Labs, Los Alamos National Laboratory, CERN, and Max Planck Society. Priority topics include algorithmic number theory tracing roots to Isaac Newton and Leonhard Euler, post-quantum cryptography informed by Peter Shor and Lov Grover legacies, lattice-based schemes following Oded Regev's contributions, elliptic-curve research referencing Neil Koblitz and Victor S. Miller, and homomorphic encryption linked to Craig Gentry. Applied agendas extend to standards work with Internet Engineering Task Force, ISO, IEEE, National Institute of Standards and Technology, and policy consultations with European Commission and United Nations agencies.
Governance comprises a board with members drawn from University of Cambridge, University of Oxford, Imperial College London, ETH Zurich, and École Polytechnique Fédérale de Lausanne, alongside industry directors from Microsoft, Google, IBM, Amazon Web Services, and Cisco Systems. Scientific leadership includes chairs who previously held posts at Princeton University, Harvard University, Yale University, Stanford University, and Columbia University. Administrative offices coordinate finance with auditors from KPMG, Deloitte, and PwC and legal counsel who have advised European Court of Human Rights and International Chamber of Commerce cases. An advisory council includes laureates of Fields Medal, Abel Prize, Turing Award, and recipients of Royal Society Research Professorships.
Active groups mirror themes explored by researchers at Institute for Advanced Study, Mathematical Sciences Research Institute, Clay Mathematics Institute, and Simons Foundation. Teams focus on lattice cryptography building on NTRU and Learning With Errors frameworks, elliptic-curve protocols interoperable with TLS stacks used by Mozilla Firefox and Google Chrome, zero-knowledge proofs with lineage to Zcash and zk-SNARKs work from Zcash Company researchers, multi-party computation tracing to Yao's Garbled Circuits and Secure Multi-Party Computation pioneers, and cryptanalysis inspired by Biham and Shamir differential techniques. Projects include collaborative grants with European Space Agency, cybersecurity initiatives with National Cyber Security Centre (UK), privacy-preserving data sharing pilots with NHS England and European Data Protection Board, and quantum-resilience roadmaps co-authored with Google Quantum AI, IBM Quantum, and D-Wave Systems. Open-source toolchains are developed interoperating with OpenSSL, LibreSSL, GnuPG, SageMath, and NumPy.
The centre runs graduate programs in partnership with University of Cambridge Faculty of Mathematics, Oxford Mathematical Institute, Imperial College Department of Mathematics, and doctoral supervision tied to postdoctoral fellowships associated with Marie Skłodowska-Curie Actions and Humboldt Foundation. Short courses and summer schools attract faculty from Courant Institute of Mathematical Sciences, California Institute of Technology, University of Chicago, University of Toronto, and practitioners from European Banking Authority and Financial Conduct Authority. Professional training modules deliver certification aligned with curricula promoted by ISC2, ISACA, and accreditation boards connected to British Computer Society. Visiting scholars have included alumni of Princeton University Department of Mathematics, Harvard John A. Paulson School of Engineering and Applied Sciences, and winners of Nevanlinna Prize and MacArthur Fellowship.
Strategic partnerships span academia and industry, engaging Simons Foundation, Royal Society, European Research Council, National Science Foundation, Wellcome Trust, GCHQ, and NCSC. Industry alliances include research MOUs with Microsoft Research Cambridge, Google DeepMind, IBM Research Zurich, Amazon Research, Facebook AI Research, Intel Labs, ARM Holdings, Nokia Bell Labs, and Siemens. International academic networks connect with University of Tokyo, Tsinghua University, Peking University, Australian National University, University of Melbourne, McGill University, and University of São Paulo. Standards and policy engagements have been conducted with IETF Working Groups, ISO/IEC JTC 1, European Telecommunications Standards Institute, and World Intellectual Property Organization.
Facilities include secure labs modeled after infrastructure at GCHQ, high-performance compute clusters comparable to those at UK Met Office and CERN OpenLab, and quantum testbeds in collaboration with Oxford Quantum Circuits, Cambridge Quantum Computing, and Rigetti Computing. Libraries and archives integrate collections from British Library, Cambridge University Library, Bodleian Library, and digital resources provided by arXiv, MathSciNet, Zentralblatt MATH, and JSTOR. Software stacks incorporate contributions from SageMath, Mathematica, MATLAB, GNU Privacy Guard, OpenSSL, and research reproducibility platforms used at ReproZip initiatives. The centre also maintains patent liaison services interfacing with European Patent Office and United States Patent and Trademark Office.
Category:Research institutes Category:Cryptography