Professor Steven Galbraith

BCMS (Waikato), MSc (Georgia Tech), DPhil (Oxford)

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Head of Department

Research | Current

  • Public key cryptography
  • Computational number theory
  • Computational algebraic geometry

Postgraduate supervision

Projects on offer

  • Post-quantum cryptography (Project)
  • Algorithms for the discrete logarithm problem on elliptic curves (Project)
  • Cryptanalysis of lattice based cryptosystems (Project)
  • Cryptanalysis of isogeny-based cryptosystems (Thesis Project)
  • Isogeny-based signature schemes (Thesis Project)
  • Isogeny graphs of supersingular curves (Project)

Responsibilities

Chair of Mathematics Department Academic Committee

Selected publications and creative works (Research Outputs)

  • Bai, S., Galbraith, S. D., Li, L., & Sheffield, D. (2019). Improved Combinatorial Algorithms for the Inhomogeneous Short Integer Solution Problem. JOURNAL OF CRYPTOLOGY, 32 (1), 35-83. 10.1007/s00145-018-9304-1
  • Galbraith, S. D., & Vercauteren, F. (2018). Computational problems in supersingular elliptic curve isogenies. Quantum Information Processing, 17 (10)10.1007/s11128-018-2023-6
    URL: http://hdl.handle.net/2292/44967
  • Peyrin, T., & Galbraith, S. (2018). Preface.
  • Peyrin, T., & Galbraith, S. (2018). Preface.
  • Peyrin, T., & Galbraith, S. (2018). Preface.
  • Cui, S., Asghar, M. R., Galbraith, S. D., & Russello, G. (2018). ObliviousDB: Practical and Efficient Searchable Encryption with Controllable Leakage. Paper presented at 10th International Symposium on Foundations and Practice of Security (FPS), Lorraine Res Lab Comp Sci & Applicat, Nancy, FRANCE. 23 October - 25 October 2017. FOUNDATIONS AND PRACTICE OF SECURITY (FPS 2017). (pp. 17). 10.1007/978-3-319-75650-9_13
    Other University of Auckland co-authors: Giovanni Russello, Rizwan Asghar
  • Galbraith, S. D., Petit, C., & Silva, J. (2017). Identification protocols and signature schemes based on supersingular isogeny problems. In T. Takagi, T. Peyrin (Eds.) Advances in cryptology - ASIACRYPT 2017, 10624 LNCS (pt. 1), 3-33. Hong Kong, China. 10.1007/978-3-319-70694-8_1
    URL: http://hdl.handle.net/2292/44694
  • Cui, S., Asghar, M. R., Galbraith, S. D., & Russello, G. (2017). P-McDb: Privacy-preserving search using multi-cloud encrypted databases. 2017 IEEE 10th International Conference on Cloud Computing (CLOUD), 334-341. Honolulu, USA. 10.1109/CLOUD.2017.50
    URL: http://hdl.handle.net/2292/42918
    Other University of Auckland co-authors: Rizwan Asghar, Giovanni Russello

Contact details

Alternative contact

00447383132171

Primary office location

SCIENCE CENTRE - MATHPHYSIC - Bldg 303
Level 2, Room 211
38 PRINCES ST
AUCKLAND 1010
New Zealand

Web links