Türkü Özlüm Çelik

Algebraic curves have found an important application in the context of integrable systems through the use of theta functions. These functions give rise to solutions of the Kadomtsev-Petviashvili hierarchy, a universal integrable system. In this talk, we will take a dive into this fascinating field from the perspective of computational algebraic geometry. Our focus will be on employing state-of-the-art tools in symbolic, numerical, and combinatorial algebraic geometry to explore these solutions and their applications back in the study of algebraic curves.