Research

Research in SIGMA is organised into five broad subject areas, with the main focus on differential equations, symmetry methods, integrability and applications:

Algebra;
Analysis;
Geometry;
Mathematical modelling;
Mathematical Physics;

The boundaries between those areas are not rigid, and research of several members intersect two or more areas. Below you can find more specifics about topics of research in each one of the areas mentioned. Also, click here to have a look at our publications.

★ Algebra

Abelian Jordan algebras applied to Physical systems;
Algebraic methods for (symmetry) integrability of systems of partial differential equations;
Jordan triple systems and their relations to integrable models;
Lie algebras and super algebras resulted from symmetry analysis of differential equations;

★ Analysis

Stability of solutions for partial differential equations;
Jordan triple systems;
Existence and uniqueness of solutions of partial differential equations;

★ Geometry

Stability of solutions for partial differential equations;
Jordan triple systems;
Existence and uniqueness of solutions of partial differential equations;

★ Mathematical modelling

Stability of solutions for partial differential equations;
Jordan triple systems;
Existence and uniqueness of solutions of partial differential equations;

★ Mathematical Physics

Stability of solutions for partial differential equations;
Jordan triple systems;
Existence and uniqueness of solutions of partial differential equations;