The GTA(Algebraic Geometry Theory) 2021 conference brought together world class researchers in mathematics and computer science. Its main objectives were to discuss recent advances in the fields of algebraic geometry, number theory and their applications, as well as to foster international collaborations on connected topics.

Contributions from all related areas of mathematics and computer science were welcome although particular emphasis was placed on research interests of our late colleague Alexey Zykin, namely: global fields and abelian varieties; zeta-functions and L-functions; algebraic geometry over finite fields; their applications to cryptography, error-correcting codes, sphere packing, etc.

The conference took place on 16–20 August 2021 at the University of French Polynesia in Tahiti, French Polynesia.