Algebraic topology studies geometric objects with algebraic methods and thus brings together methods from different areas of mathematics.
Areas explored within this research group include approximation theory, conservation laws, and numerical methods for differential and integral equations.
Mathematical analysis continues the development of calculus and the theory of real and complex functions. This field has wide-ranging applications in both pure and applied mathematics, and in physics, biology, chemistry, and engineering.
The study of coherent structures and patterns arising in nonlinear systems is important for the understanding of many phenomena in nature. Topological solitons are smooth, localised, finite energy solutions of partial differential equations.