The researchers of the Mathematics Area work in geometry (algebraic, differential and noncommutative geometry, also with applications to quantum field and string theory), in mathematical analysis (calculus of variations,control theory, partial and ordinary differential equations), in mathematical modelling (mechanics of solids and fluids, complex and biological systems, multiscale analysis), in mathematical physics(classical and quantum integrable systems and their applications), and in numerical analysis and scientific computing (applied to partial differential equations and to control problems).
The Mathematics Area is involved in the activities of two laboratories:
- SISSA MathLab: a laboratory for mathematical modeling and scientific computing
- SAMBA: a laboratory in collaboration with the Cognitive Neuroscience Group
Moreover, the Mathematics Area, together with the Department of Mathematics and Geosciences of the University of Trieste, jointly runs an MSc course in Mathematics (Laurea Magistrale in Mathematics).