Number-Theoretic Methods in Cryptology 2019

Aim and Scope

The aim of the NutMic conference series is to cross-fertilize Number Theory and Cryptology. On the one hand, the conference intends to explore current and future Number Theory challenges that arise from the rapidly evolving field of modern Cryptology. On the other hand, it targets investigating and applying Number Theoretic methods in the design and analysis of cryptologic systems and protocols. Besides the well-established connections between the two domains such as primality testing, factorisation, elliptic curves, lattices (to mention a few), the conference endeavours to forge new ones that would encompass Number Theory structures and algorithms that have not successfully been used in Cryptology before. It is expected that these new connections would lead to novel, more efficient and secure cryptographic systems and protocols. Conversely, adressing problems of cryptographic origins may allow to advance the state of the art about some problems and conjectures in Number-Theory.

Topics

The conference topics include (but are not restricted to):

• Lattice based cryptography
• Elliptic and higher genus curves
• Bilinear and multilinear maps
• Analytic tools with applications to cryptology
• Modular forms and their applications
• Hard problems stemming from number theory
• Number and Function Fields
• Sieve techniques