Geometric methods in group theory and group-based cryptography

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My research is in Pure Mathematics, more precisely, in Geometric Group Theory. This flourishing and rapidly developing field of study attracts many brilliant researchers. It is interdisciplinary in nature. It is rooted in the work of many mathematicians. It started getting its shape in the 1980s when Gromov clearly articulated the idea that infinite groups, usually regarded as algebraic objects, can be characterized by their geometric properties, and that tools from topology can be used in group theory. Since then, research in this area made its way also to harmonic analysis, logic, probability and computer science. A wealth of available techniques and potential applications ensures that the field will remain a mainstream in mathematics for a long while.