## Conference on "The Mathematics of Post-Quantum Cryptography", December 4 - 5, 2024

Post-Quantum cryptography is a branch of public-key cryptography aiming to design

cryptographic schemes building on mathematical problems that are conjectured to be hard

to solve on both, classical and quantum computers. Such cryptographic schemes are needed

since Shor's quantum algorithms break classical public-key cryptography based on the

discrete logarithm problem (in finite fields or elliptic curves) as well as integer factoring in polynomial

time (assuming a large enough error-corrected quantum computer will be built).

The main families of post-quantum schemes build on algorithmically hard problems

related to lattices (e.g. finding short vectors in euclidean lattices), binary codes (decoding

problem), isogenies between elliptic curves over finite fields, and multivariate polynomial

systems. More recently, schemes based on finding isometries between lattices and also

schemes based on group actions of classical groups have been proposed.

Hence, there are many connections between the research field of post-quantum cryptography

and number theory, automorphic forms, algebra, algebraic geometry, representation

theory, and so on. In order to evaluate the security of the newly proposed cryptographic

schemes, deep connections between the different research communities, in particular

between more applied researchers in cryptography and researchers in pure mathematics, have

to be established. Otherwise, results from pure mathematics that apply to these schemes

and the underlying mathematical problems might be overlooked by the cryptographic re-

search community or discovered many years later.

**Speakers:**

tba

**Organisers:**

Eleni Agathocleous (MPIM Bonn)

Stephan Ehlen (BSI)

Joanna Meinel (BSI)

Pieter Moree (MPIM Bonn)

**Registration****:**

tba

### Contact:

conference@mpim-bonn.mpg.de

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