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

Current students

  • Lukas Zobernig (PhD)
  • Trey Li (PhD)
  • Samuel Dobson (PhD)
  • Shalini Banerjee (PhD)
  • Yi-Fu Lai (PhD)

Projects on offer

  • Post-quantum cryptography (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)


Head of Department

Selected publications and creative works (Research Outputs)

  • Galbraith, S. D., Petit, C., & Silva, J. (2020). Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems. JOURNAL OF CRYPTOLOGY, 33 (1), 130-175. 10.1007/s00145-019-09316-0
  • De Feo, L., & Galbraith, S. D. (2019). SeaSign: Compact Isogeny Signatures from Class Group Actions. Paper presented at 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques (EUROCRYPT), Darmstadt, GERMANY. 19 May - 23 May 2019. ADVANCES IN CRYPTOLOGY - EUROCRYPT 2019, PT III. (pp. 31). 10.1007/978-3-030-17659-4_26
  • 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
  • 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
  • Cui, S., Asghar, M. R., Galbraith, S. D., & Russello, G. (2017). Secure and Practical Searchable Encryption: A Position Paper. Paper presented at 22nd Australasian Conference on Information Security and Privacy (ACISP), Massey Univ Campus, Auckland, NEW ZEALAND. 3 July - 5 July 2017. INFORMATION SECURITY AND PRIVACY, ACISP 2017, PT I. (pp. 16). 10.1007/978-3-319-60055-0_14
    Other University of Auckland co-authors: Rizwan Asghar, Giovanni Russello
  • Galbraith, S. D., & Gaudry, P. (2016). Recent progress on the elliptic curve discrete logarithm problem. Designs, Codes and Cryptography, 78 (1), 51-72. 10.1007/s10623-015-0146-7
  • Bai, S., & Galbraith, S. D. (2014). An improved compression technique for signatures based on learning with errors. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 8366 LNCS, 28-47. San Francisco, California, USA: Springer Verlag. 10.1007/978-3-319-04852-9_2

Contact details

Alternative contact


Office hours

Room 303.244

Please send an email to arrange a time. I don't have any guaranteed office times for meetings, but I usually have time every day to meet a student.

Primary office location

SCIENCE CENTRE 303 - Bldg 303
Level 2, Room 244
New Zealand

Web links