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

  • Yan Bo Ti (PhD)
  • Lukas Zobernig (PhD)
  • Trey Li (PhD)
  • Samuel Dobson (PhD)
  • Max Bunting (BSc(Hons))

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. (2019). Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems. Journal of Cryptology10.1007/s00145-019-09316-0
  • 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
  • Galbraith, S., & Stolbunov, A. (2013). Improved algorithm for the isogeny problem for ordinary elliptic curves. Applicable Algebra in Engineering, Communications and Computing, 24 (2), 107-131. 10.1007/s00200-013-0185-0
  • Galbraith, S. D., Pollard, J. M., & Ruprai, R. S. (2013). Computing discrete logarithms in an interval. Mathematics of Computation, 82 (282), 1181-1195. 10.1090/S0025-5718-2012-02641-X
  • Galbraith, S. D., & Holmes, M. (2012). A non-uniform birthday problem with applications to discrete logarithms. Discrete Applied Mathematics, 160 (10-11), 1547-1560. 10.1016/j.dam.2012.02.019
  • Galbraith, S. D. (2012). Mathematics of Public Key Cryptography. Cambridge: Cambridge University Press. Pages: 615. 10.1017/CBO9781139012843
  • Galbraith, S. D., Lin, X., & Scott, M. (2011). Endomorphisms for faster elliptic curve cryptography on a large class of curves. Journal of Cryptology, 24 (3), 446-469. 10.1007/s00145-010-9065-y

Contact details

Alternative contact


Office hours

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