International Conference on Algebraic Number Theory and Cryptographic Methods (ICANTCM - 26)

This track focuses on the exploration of algebraic structures that underpin number theory, including rings, fields, and modules. Participants will discuss their implications in various areas such as Galois theory and Diophantine equations.

This session will delve into the development and analysis of cryptographic algorithms and protocols, emphasizing their mathematical foundations. Topics will include public key cryptography, secure multiparty computation, and the role of number theory in cryptographic security.

This track will investigate the properties of prime numbers and their critical applications in modern cryptography. Discussions will include primality testing methods and the significance of prime distributions in secure communications.

Participants in this session will explore the rich theory of modular forms and their connections to number theory and cryptography. The discussions will highlight their applications in elliptic curves and L-functions.

This track aims to bridge the gap between arithmetic geometry and classical number theory, focusing on geometric methods in number-theoretic problems. Topics will include the study of rational points on algebraic varieties and their implications for cryptographic schemes.

This session will cover the theory and applications of finite fields in cryptography, particularly in coding theory and secure communications. Participants will discuss the construction and properties of finite fields and their role in cryptographic protocols.

This track will focus on the theory of elliptic curves and their applications in cryptographic systems. Discussions will include the mathematical underpinnings of elliptic curve cryptography and its advantages over traditional methods.

This session will explore the principles of Galois theory and its applications in solving polynomial equations and understanding field extensions. Participants will discuss its relevance to both pure mathematics and cryptographic methods.

This track will investigate the theory of Diophantine equations and their applications in various mathematical contexts. Participants will explore both classical results and modern advancements in solving these equations.

This session will focus on the study of L-functions and their profound implications in number theory. Discussions will include their connections to prime numbers, modular forms, and cryptographic applications.

This track will explore the fascinating world of transcendental numbers, examining their properties and significance in number theory. Participants will discuss their implications for mathematical proofs and cryptographic systems.