Integrable systems, which are systems of differential equations that can be solved exactly, often utilize the principles of symplectic geometry. Recent research in this field has focused on ...

Recent research has delved into various aspects of integrable systems, including their algebraic properties ... work illustrates the interplay between geometry and integrability, revealing ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

algebra theory and its connections to other areas such as dynamical systems, group theory ... models by employing methods from topological recursion, non-commutative geometry and renormalisation ...