Advisor

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Polynomial knots and their spaces

RAUNDAL, HITESH (Dept. of Mathematics, 2017-02)

The main focus of this thesis is to study the topology of some spaces associated with polynomial knots and determining the least polynomial degree in which a given knot can be represented. A polynomial knot is an embedding ...
Functorial Knot Theory

NARAYANAN, VISAKH (2017-04)

The thesis titled \Functorial Knot Theory", expository in nature, aims to show some recent connections between Knot theory and Category theory. In the rst part we discuss how the language of categories and functors e ...
Geometric Knot Theory

P., ADITHYAN (2020-04)

This thesis provides an exposition to some geometric aspects of knot theory. We discuss certain numerical invariants of knots which are geometric in nature. Many of them are defined as the minimum value of some quantity ...
Knots, Links and Spherical Braids in Real Projective 3-space

NARAYANAN, VISAKH (2023-07)

This thesis studies some geometric properties of knots in real projective 3-space. These ideas are borrowed from classical knot theory. Since knots in $\mathbb{R}P^3$ are classified into three disjoint classes: affine, ...

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