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Once limited to modelling physical problems in engineering, today Partial Differential Equations (PDEs) are used by a diverse array of fields, from natural resources to meteorology, aeronautics, oil and gas and biomedicine – to name only a few. But key mathematical issues remain unsolved, particularly when addressing their control, a must in technological transfer. The ERC-funded DYCON project aims to find answers.
Fifty years after the formulation of a conjecture related to arc spaces of surface singularities by Nobel Prize winner John Nash, the team led by Doctor Javier Fernández de Bobadilla has proved him right. Other topics on Singularity Theory, Algebraic Geometry and Homological Algebra are also studied.