2016

Number theory and cryptography are important topics between mathematics and computer science. Many industrial products are based on the application of these topics to real word. Number theory and cryptography are deployed to secure sensitive communications, to protect information systems, to secure bank transactions, online shopping, satellite and mobile phone communications, and to ensure storage of medical, personal and military data. In short, number theory and cryptography are frequently used in applications where security of digital data is a concern.

In recent years, toric geometry has experienced a rapid growth with a wealth of new results and connections with other areas of mathematics like arithmetic geometry and number theory, dynamical systems, non­ Archimedean and tropical geometry, mirror symmetry and birational geometry, This adds to the more classical connections to combinatorics, computer algebra and singularity theory among others, and applications to areas of science like mathematical biology and chemistry.