CORDIS Project
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This project focuses on singularity theory in mathematics, aiming to establish algebraic conditions that characterize normal crossing properties. By integrating various mathematical theories, it seeks to enhance understanding of singularities and their implications in natural sciences.
Our entire scientific understanding of nature is based on various types of systems of equations (linear, polynomial, analytic, differential) and their solutions.
Singularities are points of local instability of these equations that can have tremendous impact on the global behavior of solutions.
Thus, singularity theory is fundamentally important for mathematics and natural sciences.For polynomial/analytic equations, the singular locus is that of failure of the manifold structure of the solution…
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