Shane D’Mello

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20162026

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math.GT2026

Real rational knots in the quadric of signature~ $(3, 2)$

Shane D'Mello, Priya Rani

We study the space of real rational curves of low degree in the quadric of signature $(3, 2)$ and provides a classificaton of real rational knots and nodal curves. Apart from the cl…

math.GT2021

Properties of glued knots

Shane D'Mello, Vinay Gaba

We study the properties of glued knots, a sub-class of real rational knots, that can be constructed by gluing ellipses. We define an invariant called the gluing degree and relate i…

Real rational knots in the quadric of signature~(3,2)

Properties of glued knots

Real rational knots in the quadric of signature~ $(3, 2)$