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Mathematics for post-quantum cryptanalysis

During 5-9 August 2024, Eötvös Loránd University and KU Leuven will co-organize a conference in Budapest, in the framework of the CELSA alliance. The conference is also supported by the University Excellence Fund of Eötvös Loránd University, as well as by the European Research Council under the grant ISOCRYPT 01020788.

The aim of the conference is to help narrow the gap between computational mathematicians and mathematical cryptographers, driven by the many new hardness assumptions that are emerging in the context of post-quantum cryptography.

The conference will be organized along the four main mathematical themes in post-quantum cryptography: lattices, error-correcting codes, systems of non-linear equations, and isogenies. On each theme we will schedule:

  • an overview talk surveying the field,
  • two or three tutorials on neighbouring mathematical topics,
  • two or three fresh research talks.

All attendees will have the option of presenting a poster.


Venue

Eötvös Loránd University, Faculty of Informatics, Budapest (map).

It is most convenient to take the west entrance (although any of the entrances should eventually lead you to the right place).

Some lunch options near the venue can be found here.


Schedule

Click 📺 to download the slides.

Monday 05/08 (Lattices)

08:30 – 09:15 Registration
09:15 – 09:30 Opening remarks

09:30 – 10:30 Vadim LyubashevskyLattice-based cryptography: NIST standards and beyond 📺
11:00 – 12:00 Eamonn PostlethwaiteLearning with errors: introduction and cryptanalysis 📺

Lunch

13:30 – 14:30 Ilaria ChillottiFully homomorphic encryption: introduction and new directions
15:15 – 16:15 Thomas EspitauOn module lattices and their reductions (online) 📺
16:15 – 17:15 Alexandre WalletSums of squares and module lattice isomorphisms 📺


Tuesday 06/08 (Isogenies and multivariate systems)

09:30 – 10:30 Benjamin WesolowskiFoundations of isogeny-based cryptography 📺
11:00 – 12:00 Benjamin SmithAbelian varieties and abelian surfaces 📺

Lunch

13:30 – 14:30 Chloe MartindaleIsogeny graphs of abelian varieties (online) 📺
15:15 – 16:15 Simona SamardjiskaMultivariate cryptography: design principles 📺
16:15 – 17:15 Morten ØygardenAttacks in multivariate cryptography 📺

Conference dinner at Trófea Grill Újbuda (map)


Wednesday 07/08 (Quadratic forms)

09:30 – 10:30 Denis SimonQuadratic equations 📺
11:00 – 12:00 Wessel van WoerdenThe lattice isomorphism problem: algorithms and invariants 📺

Free afternoon


Thursday 08/08 (Codes and isogenies)

09:30 – 10:30 Jean-Pierre TillichAlgebraic attacks on the McEliece cryptosystem 📺
11:00 – 12:00 Thomas Debris-AlazardFrom code-based cryptography to packing bounds 📺

Lunch

13:30 – 14:30 Lorenz PannyTo the End and back 📺
15:15 – 16:15 Luca De FeoWhat does it mean to “represent” an isogeny?
16:15 – 17:15 Antoine LeudièreAlgorithms for Drinfeld modules and their isogenies 📺
17:30 – 17:45 Poster pitch (titles, 📺)

Poster session and drinks


Friday 09/08 (Codes and multivariate systems)

09:30 – 10:30 Elena BerardiniA walk through algebraic geometry codes 📺
11:00 -12:00 Maxime BombarLearning with errors over function fields and structured variants of the decoding problem 📺
12:00 – 13:00 Pierre PébereauGeometric approach to the cryptanalysis of UOV 📺

End of conference


Registration

Registration is now open. We ask 100 EUR for master and PhD students, and 150 EUR for more senior participants.

Registration is closed.

For students, we have a limited number of stipends available. If you are in need of such a stipend, please let us know at math.pqc@gmail.com by 31 May 2024.

We no longer have stipends available. However, if you are interested in sharing an Airbnb with other participants, in order to suppress costs for lodging, then please let us know at math.pqc@gmail.com. We can then bring you in contact with each other.

Overall registration deadline: 23 June 2024.


Contact

Dana Brouckmans, Wouter Castryck, Anita Hóbor, Péter Kutas, Frederik Vercauteren