Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as to problems in computer science, biological and medical research, and mathematical physics.

Knot theory, in essence, is the study of the geometrical aspects of these shapes. Not only has knot theory developed and grown over the years in its own right, but also the actual mathematics of knot theory has been shown to have applications in various branches of the sciences, for example, physics, molecular biology, chemistry, et cetera.

Knot theory is the embedding of one topological space into anotherTopological space and has applications in cell replication, where DNA must be unknotted and undergo a recombination process and knot invariant polynomials can be used to improve encryption processes and increase security.