Prof Miguel Alcubierre
National University of Mexico

When we speak of Warp Drives, we generally also think of Hyperspace;

Hyperspace

Hyperspace may refer to:

• in mathematics and general science
• A Euclidean space of dimension greater than three, see fourth dimension and higher dimensions (the original meaning of the word hyperspace, common in late nineteenth century British books, sometimes used in a paranormal context, but which has become rarer since then)
• A space with non-Euclidean geometry
• Minkowski space, a concept, often referred to by science fiction writers as hyperspace, that refers to the four-dimensional space-time of special relativity
• Hyperspace (topology), a topological space whose elements are subsets of another topological space
• Hyperspace (book), a book by Dr. Michio Kaku that attempts to explain the possibility of ten-dimensional space using string theory

Minkowski space

In physics and mathematics, Minkowski space or Minkowski spacetime (named after the mathematician Hermann Minkowski) is the mathematical setting in which Einstein's theory of special relativity is most conveniently formulated. In this setting the three ordinary dimensions of space are combined with a single dimension of time to form a four-dimensional manifold for representing a spacetime.

In theoretical physics, Minkowski space is often contrasted with Euclidean space. While a Euclidean space has only spacelike dimensions, a Minkowski space also has one timelike dimension. Therefore the symmetry group of a Euclidean space is the Euclidean group and for a Minkowski space it is the Poincaré group.

http://en.wikipedia.org/wiki/Minkowski_space

Below is the paper written by Prof Miguel Alcubierre mentioned in the video, plus some others he wrote. There are many more by him and other scientists on Warp Drive at;

Los Alamos National Archives
General Relativity and Quantum Cosmology

The warp drive: hyper-fast travel within general relativity 
Miguel Alcubierre
http://lanl.arxiv.org/abs/gr-qc/0009013

Null geodesics in the Alcubierre warp drive spacetime: the view from the bridge
Authors: Chad Clark, William A. Hiscock, Shane L. Larson 
http://lanl.arxiv.org/abs/gr-qc/9907019

Gravitational Collapse of Gravitational Waves in 3D Numerical Relativity
Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann, Gerd Lanfermann, Edward Seidel, Wai-Mo Suen, Malcolm Tobias
http://lanl.arxiv.org/abs/gr-qc/9904013

Metamaterial-based model of the Alcubierre warp drive
Authors: Igor I. Smolyaninov 
http://lanl.arxiv.org/abs/1009.5663

The quantum interest conjecture in (3+1)-dimensional Minkowski space
http://lanl.arxiv.org/abs/1001.1180

Putting the Warp into Warp Drive
Authors: Richard K Obousy, Gerald Cleaver 
http://lanl.arxiv.org/abs/0807.1957

Warp Drive: A New Approach
Authors: Richard Obousy, Gerald Cleaver 
http://lanl.arxiv.org/abs/0712.1649

The warp drive and antigravity
Authors: Homer G. Ellis 
http://lanl.arxiv.org/abs/gr-qc/0411096

Warp Drive With Zero Expansion
Authors: Jose Natario 
http://lanl.arxiv.org/abs/gr-qc/0110086