Conference on "The Mathematics of Post-Quantum Cryptography"

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:

You are welcome to apply here. For consideration for financial support, please apply by October 20, 2024.

Contact:

crypto$@$mpim-bonn$.$mpg$.$de

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