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The main target in the area of Inverse Problems I am studying is to identify objects fully occluded inside inaccessible regions from the data measured far away from those objects. This is an interdisciplinary research topic among mathematics, physics and engineering. Important applications of this field include bio-medical imaging (to detect cancerous tumors inside living tissues), seismic exploration (to find oil under the sea to save significant resources for oil companies), nondestructive testing (to check if there are some cracks inside a product), nano-imaging (to image cells with tiny size), security (to identify anti-personnel explosive devices buried under the ground to save lives). My contribution to the field is to develop numerical methods, that quickly provide reliable solutions to inverse problems without requesting a good initial guess.

Besides Inverse Problems, I am interested in the areas of nonlinear Partial Differential Equations.

I am a co-organizer of the Computational and applied Mathematics Seminar.