About Me
I am a postdoctoral research fellow in the mathematics department at the University of Auckland. I previously completed my PhD under the supervision of Steven D. Galbraith.
My research focus lies on arithmetic geometry, i.e. the interplay of number theory and algebraic geometry. Currently, I am thinking about isogenies of abelian varieties, and especially about phenomena in positive characteristic. I am also interested in the use of isogenies in (post-quantum) cryptography.
Before pursuing mathematics, I studied theoretical physics at ETH Zürich. From this comes my complicated love for high energy physics, which I still hold dear to my heart and follow new developments in with great interest.
Publications
- An Adaptive Attack on 2-SIDH (with Samuel Dobson, Steven D. Galbraith, Jason LeGrow, and Yan Bo Ti, International Journal of Computer Mathematics, IACR ePrint version)
- Obfuscating Finite Automata (with Steven D. Galbraith, SAC 2020, IACR ePrint version)
- Obfuscated Fuzzy Hamming Distance and Conjunctions from Subset Product Problems (with Steven D. Galbraith, TCC 2019, IACR ePrint version)
- Towards a Theory of Special-purpose Program Obfuscation (with Muhammad Rizwan Asghar, Steven D. Galbraith, Andrea Lanzi, and Giovanni Russello, TrustCom 2020, arXiv version)
- When Are Opaque Predicates Useful? (with Steven D. Galbraith and Giovanni Russello, TrustCom 2019, IACR ePrint version)
Notes & Preprints
- Failing to hash into supersingular isogeny graphs (with Jeremy Booher, Ross Bowden, Javad Doliskani, Tako Boris Fouotsa, Steven D. Galbraith, Sabrina Kunzweiler, Simon-Philipp Merz, Christophe Petit, Benjamin Smith, Katherine E. Stange, Yan Bo Ti, Christelle Vincent, José Felipe Voloc and Charlotte Weitkämper, arXiv version)
- Abelian Varieties with p-rank Zero (with Yan Bo Ti and Gabriel Verret, arXiv version)
- Genus 2 Curves in Small Characteristic (arXiv version)
- SIDH Proof of Knowledge (with Luca De Feo, Samuel Dobson, and Steven D. Galbraith, IACR ePrint version)
- A Note on a Static SIDH Protocol (with Samuel Dobson and Trey Li, IACR ePrint version)
Talks
- University of Auckland Moduli Spaces Seminar: Moduli Spaces in Positive Characteristic
- CWI Cryptology Group Seminar 2021: The Modular Subset Product Problem and Obfuscation (Slides)
- Perspectives on Algebra, Geometry and Number Theory: Superspecial Abelian Varieties (Abstract, Slides)
- Selected Areas in Cryptography (SAC) 2020 (Slides)
- University of Auckland Number Theory Reading Group 2020: Lectures on Complex Multiplication. (Lecture recordings 1,2,3,4)
- Trans-Tasman Postquantum Cryptography Workshop 2020 (Slides)
- University of Auckland Algebra & Combinatorics Seminar 2020: Arakelov Theory, Line Bundles, and All That. (Abstract)
- Theory of Cryptography Conference (TCC) 2019 (Slides)
- NZ Number Theory Workshop 2019: Higher Genus Isogeny Graphs and Cryptography (Abstract)
- University of Auckland Student Research Conference 2019 (Slides)
- University of Auckland Student Research Conference 2018 (Slides)
Professional Service
- Since fall 2021, I am a member of the Faculty of Science Sustainability committee at the University of Auckland.
- In fall 2021, I was teaching MATHS 734 (Algebraic Geometry) at the University of Auckland with Steven D. Galbraith.
- Since 2021, I am co-organising the University of Auckland Algebra & Combinatorics Seminar with Matthew Conder.
- In spring 2021, I was organising a reading group on (algebraic) number theory.
- In fall 2020, I gave guest lectures on the arithmetic of elliptic curves in MATHS 714 (Number Theory) at the University of Auckland.
- In fall 2020, I was organising a reading group on expander graphs.
- I was co-organising the ANTS 2020 Summer School with Koen de Boer, Muhammed Esgin, Thomas Espitau, Alice Pellet-Mary, Lorenz Panny, and Anna Somoza. (Lecture recordings)