We study braided embeddings, which is a natural generalization of closed braids in three dimensions. Braided embeddings give us an explicit way to construct lots of higher dimensional embeddings; and may turn out to be as instrumental in understanding higher dimensional embeddings as closed braids have been in understanding three and four dimensional topology. We will discuss two natural questions related to braided embeddings, the isotopy and lifting problem.Ph.D
This dissertation looks at representations of framed pure braids and compact orientable three manifo...
This book is a self-contained introduction to braid foliation techniques, which is a theory develope...
A group G is called left-orderable if one can find a total order on G, which is preserved under left...
In this work, we present a brief survey of knot theory supported by contact 3-manifolds. We focus on...
We will examine two and three fold branched coverings of a few classical knots and knotted surfaces,...
This paper gives an account of the unitary representations of the braid group that arise via the Hod...
There are several ways to describe juggling patterns mathematically using combinatorics and algebra....
In this expositional essay, we introduce some elements of the study of groups by analysing the braid...
We will discuss what is known about the construction of contact structures via branched covers, emph...
This thesis is a collection of different results on braids, and draws connections between them. We f...
Braid groups are an important and flexible tool used in several areas of science, such as Knot Theor...
To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way tha...
This is on a part of our work in progress, which was introduced at the conference “Intel
There are several ways to describe juggling patterns mathematically using combinatorics and algebra....
In this survey paper we present the L–moves between braids and how they can adapt and serve for esta...
This dissertation looks at representations of framed pure braids and compact orientable three manifo...
This book is a self-contained introduction to braid foliation techniques, which is a theory develope...
A group G is called left-orderable if one can find a total order on G, which is preserved under left...
In this work, we present a brief survey of knot theory supported by contact 3-manifolds. We focus on...
We will examine two and three fold branched coverings of a few classical knots and knotted surfaces,...
This paper gives an account of the unitary representations of the braid group that arise via the Hod...
There are several ways to describe juggling patterns mathematically using combinatorics and algebra....
In this expositional essay, we introduce some elements of the study of groups by analysing the braid...
We will discuss what is known about the construction of contact structures via branched covers, emph...
This thesis is a collection of different results on braids, and draws connections between them. We f...
Braid groups are an important and flexible tool used in several areas of science, such as Knot Theor...
To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way tha...
This is on a part of our work in progress, which was introduced at the conference “Intel
There are several ways to describe juggling patterns mathematically using combinatorics and algebra....
In this survey paper we present the L–moves between braids and how they can adapt and serve for esta...
This dissertation looks at representations of framed pure braids and compact orientable three manifo...
This book is a self-contained introduction to braid foliation techniques, which is a theory develope...
A group G is called left-orderable if one can find a total order on G, which is preserved under left...