Motivated by the action of XER site-specific recombinase on DNA, this thesis will study the topological properties of a type of local crossing change on oriented knots and links called nullification. One can define a distance between types of knots and links based on the minimum number of nullification moves necessary to change one to the other. Nullification distances form a class of isotopy invariants for oriented knots and links which may help inform potential reaction pathways for enzyme action on DNA. The minimal number of nullification moves to reach a è-component unlink will be called the è-nullification number. This thesis will demonstrate the relationship of the nullification numbers to a variety of knot invariants, and use these t...
We performed numerical simulations of DNA chains to understand how local geometry of juxtaposed segm...
This thesis is divided into two parts, each summarising one of the main projects I have undertaken s...
We performed numerical simulations of DNA chains to understand how local geometry of juxtaposed segm...
Knot nullification is an unknotting operation performed on knots and links that can be used to model...
In this paper, we show how to split the writhe of reduced projections of oriented alternating links ...
Color poster with text and formulas.Knot theory is a field of topology that studies the embedding of...
We present a model of how DNA knots and links are formed as a result of a single recombination event...
Knot theory is the mathematical study of knots. In this thesis we study knots and one of its applica...
Knot theory is the mathematical study of knots. In this thesis we study knots and one of its applica...
Knot theory is a branch of topology that deals with the structure and properties of links. Employing...
Mathematics is an interconnected subject with many concepts intersecting in various ways that allow ...
This paper explores the problem of unknotting closed braids and classical knots in mathematical knot...
We present a model of how DNA knots and links are formed as a result of a single recombination event...
Mathematics is an interconnected subject with many concepts intersecting in various ways that allow ...
We develop a topological model of knots and links arising from a single (or multiple processive) rou...
We performed numerical simulations of DNA chains to understand how local geometry of juxtaposed segm...
This thesis is divided into two parts, each summarising one of the main projects I have undertaken s...
We performed numerical simulations of DNA chains to understand how local geometry of juxtaposed segm...
Knot nullification is an unknotting operation performed on knots and links that can be used to model...
In this paper, we show how to split the writhe of reduced projections of oriented alternating links ...
Color poster with text and formulas.Knot theory is a field of topology that studies the embedding of...
We present a model of how DNA knots and links are formed as a result of a single recombination event...
Knot theory is the mathematical study of knots. In this thesis we study knots and one of its applica...
Knot theory is the mathematical study of knots. In this thesis we study knots and one of its applica...
Knot theory is a branch of topology that deals with the structure and properties of links. Employing...
Mathematics is an interconnected subject with many concepts intersecting in various ways that allow ...
This paper explores the problem of unknotting closed braids and classical knots in mathematical knot...
We present a model of how DNA knots and links are formed as a result of a single recombination event...
Mathematics is an interconnected subject with many concepts intersecting in various ways that allow ...
We develop a topological model of knots and links arising from a single (or multiple processive) rou...
We performed numerical simulations of DNA chains to understand how local geometry of juxtaposed segm...
This thesis is divided into two parts, each summarising one of the main projects I have undertaken s...
We performed numerical simulations of DNA chains to understand how local geometry of juxtaposed segm...