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

  • Trey Li (PhD)
  • Samuel Dobson (PhD)
  • Shalini Banerjee (PhD)
  • Yi-Fu Lai (PhD)
  • Pabasara Athukorala (MSc)
  • Gabriel Pan (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)

Responsibilities

Head of Department

Selected publications and creative works (Research Outputs)

As of 29 October 2020 there will be no automatic updating of 'selected publications and creative works' from Research Outputs. Please continue to keep your Research Outputs profile up to date.
  • Ducas, L., Galbraith, S., Prest, T., & Yu, Y. (2020). Integral Matrix Gram Root and Lattice Gaussian Sampling Without Floats. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 10.1007/978-3-030-45724-2_21
  • 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
  • Galbraith, S. D., & Zobernig, L. (2019). Obfuscated Fuzzy Hamming Distance and Conjunctions from Subset Product Problems. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 10.1007/978-3-030-36030-6_4
  • Zobernig, L., Galbraith, S. D., & Russello, G. (2019). When Are Opaque Predicates Useful?. Paper presented at 18th IEEE International Conference on Trust, Security and Privacy in Computing and Communications (IEEE TrustCom) / 13th IEEE International Conference on Big Data Scienceand Engineering (IEEE BigDataSE), Rotorua, NEW ZEALAND. 5 August - 8 August 2019. 2019 18TH IEEE INTERNATIONAL CONFERENCE ON TRUST, SECURITY AND PRIVACY IN COMPUTING AND COMMUNICATIONS/13TH IEEE INTERNATIONAL CONFERENCE ON BIG DATA SCIENCE AND ENGINEERING (TRUSTCOM/BIGDATASE 2019). (pp. 8). 10.1109/TrustCom/BigDataSE.2019.00031
    Other University of Auckland co-authors: Giovanni Russello
  • 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
  • Galbraith, S., Massimo, J., & Paterson, K. G. (2019). Safety in Numbers: On the Need for Robust Diffie-Hellman Parameter Validation. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 10.1007/978-3-030-17259-6_13
  • 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

Contact details

Alternative contact

0210517169

Office hours

Room 303.302

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 3, Room 302
38 PRINCES ST
AUCKLAND CENTRAL
AUCKLAND 1010
New Zealand

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