Research

The main research groups working within DMI are the following:

• evolutionary algorithms;
• qualitative analysis and stability in thermo-mechanics and bio-mathematics;
• data mining, clustering and pattern discovery in bio-informatics;
• variational inequalities and partial differential equations;
• functional analysis;
• Traffic Equilibrium Problem in the Continuum case, Time-dependent supernetworks and variational formulations;
• Lie groups, symmetries and techniques of reduction for partial differential equations;
• finite geometry, combinatorics, designs theory and graphs and hypergraphs;
• scientific computing;
• methods for teaching mathematics;
• computational methods in bio-mathematics;
• mathematical models for charge transport in semiconductors;
• mathematics problems in kinetic theories;
• multimedia data processing and analysis;
• theoretical computer science and design methods and criptology;
• algebraic manifolds;
• solid mechanics;
• distributed systems and security;
• general topology;
• theory of degenerated elliptic equations;
• theory of minimax.