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Steven Galbraith
Head of Department
Mathematics Department
Cyber Security Foundry
University of Auckland,
Private Bag 92019,
Auckland 1142,
New Zealand.
Email: S.Galbraith -at- auckland.ac.nz
@elliptickiwi (dormant)
@Elliptickiwi@ioc.exchange
Phone: My University no longer has staff telephones. I cannot be contacted this way.
Fax: What??? In 202x!!
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My research area is computational number theory, public key cryptography and computational algebraic geometry. In particular, my research focus is elliptic curves over finite fields, and post-quantum public key cryptography.
I frequently have research projects suitable for excellent undergraduates (e.g., BSc(Hons) students) as well as Masters and PhD students. Please email me if you wish to learn more about potential research projects.
Recent/Upcoming
events I attended/hope to attend:
- CT-RSA 2022, online, March 1-2, 2022. (Archived website)
- NZ Cyber Security Summer School, Queenstown, New Zealand, 22-24 February 2023.
- RWC 2023, Tokyo, Japan, March 27-29, 2023.
- Isogeny Graphs in Cryptography, virtual, BIRS, August 20 to August 25, 2023.
- ANTS XVI, MIT, USA, July 15-19, 2024.
- Joint meeting of the NZMS, AustMS and AMS, Auckland, New Zealand, December 9-13, 2024.
- Workshop on Mathematical Cryptography (especially Number Theory and Post-Quantum Cryptography), December 16-18, 2024. Auckland, New Zealand.
- Workshop on Elliptic Curve Cryptography (ECC 2025), Celebrating 40 years of Elliptic Curves in Cryptography, 11 August 2025, online.
- René 25, Celebrating the research interests of René Schoof, Tahiti, August 18-22, 2025.
- Number Theory Down Under 2025, Christchurch, New Zealand, August 25-29, 2025.
- ASIACRYPT 2025, December 8-12, Melbourne, Australia.
- TSVP Thematic Program Isogeny-Based Cryptography, OIST, Okinawa, January 13-23, 2026.
- ANTS XVII *ONLINE* Seventeenth Algorithmic Number Theory Symposium, Groningen, Netherlands, July 6-10, 2026.
- ASIACRYPT 2026, Hong Kong, December 7-11, 2026.
Book on
Mathematics of Public Key Cryptography
I have written an advanced graduate textbook in mathematics.
Visit
the webpage for the book.
Recent/Current editorial boards/Programme committees:
Post-quantum cryptography
I am part of an MBIE-funded project for New Zealand and Australia collaboration in post-quantum cryptography.
Whitepaper:
The quantum threat to cybersecurity: Looking through the prism of post-quantum cryptography,
2021.
Report on cybersecurity risks and opportunities
The purpose of this report is to provide government and industry with a better understanding of cybersecurity risks to various business sectors in Aotearoa New Zealand if large-scale quantum computers become available.
Report on cybersecurity risks and opportunities of quantum computing to industry in New Zealand and Australia, September, 2023
Publications and preprints
Slides of talks
Thesis
The elliptic curve cryptography blog
My postgraduate students and their theses
Last Modified: 15-7-2026