Derek Perrin

We (finally) published all the material from this course on SQIsign, including lecture slides and exercise sheets for the Sage laboratory. Available here: github.com/andreavico/S...

10.06.2025 15:58 — 👍 16    🔁 16    💬 1    📌 0

I'm thrilled to share that I successfully defended my PhD thesis titled "Isogeny graphs with level structure."

07.09.2025 23:18 — 👍 3    🔁 0    💬 0    📌 0

A black swan (black feathers and a red bill with a white stripe) and a tiny cygnet floating in water. The adult looks at the small cygnet.

Black swan closely watches its young cygnet eating.

#birb #newzealand

04.09.2025 07:04 — 👍 55    🔁 3    💬 1    📌 0

The SQIparty starts on Monday, but it's still time to register!

We prepared an exciting program for you with a balanced mix of talks, coding sprints, skillshares and other activities!

www.cig.udl.cat/SQIparty2025...

See you in Lleida!

25.04.2025 14:14 — 👍 9    🔁 9    💬 2    📌 0

This work looks at the graphs obtained by adding various level structures to the ordinary components of isogeny graphs, and it represents a huge milestone for me.

Massive thanks to my supervisor, Felipe Voloch, and to the friends, family, and colleagues who supported me throughout this project!

19.04.2025 02:23 — 👍 0    🔁 0    💬 1    📌 0

Ordinary isogeny graphs with level structure | Canadian Mathematical Bulletin | Cambridge Core Ordinary isogeny graphs with level structure

I'm excited to share that my first research paper,
"Ordinary isogeny graphs with level structure,"
has been published in the Canadian Mathematical Bulletin!
This marks a huge milestone in my research journey.

🔗 doi.org/10.4153/s000...

19.04.2025 02:21 — 👍 1    🔁 0    💬 1    📌 0

Would love to see you do a butter chicken

20.01.2025 07:45 — 👍 0    🔁 0    💬 0    📌 0

In this paper we look at the structure of isogeny volcanoes with an added level structure.

14.11.2024 11:07 — 👍 0    🔁 0    💬 0    📌 0

Abstract. We construct a new post-quantum cryptosystem which consists of enhancing CSIDH and similar cryptosystems by adding a full level N structure. We discuss the size of the isogeny graph in this new cryptosystem which consists of components which are acted on by the ray class group for the modulus N. We conclude by showing that, if we can efficiently find rational isogenies between elliptic curves, then we can efficiently find rational isogenies that preserve the level structure. We show that one can reduce the group action problem for the ray class group to the group action problem for the ideal class group. This reduces the security of this new cryptosystem to that of the original one

CSIDH with Level Structure (Steven D. Galbraith, Derek Perrin, José Felipe Voloch) ia.cr/2023/1726

13.11.2023 06:00 — 👍 0    🔁 1    💬 0    📌 0

Zircon: HYPE!

#Mincup2023

It's time for next level Zircon Love!

@mineralcup.bsky.social investigated Zircon's semi-final win, and discovered heavy BLM voting and a bunch of organic votes from around the world. Much of this? 40 people in a Zircon hype telegram.

#teamzircon hype: t.me/+naPu0wNlAYc...

01.10.2023 01:17 — 👍 2    🔁 1    💬 0    📌 0