Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. Many important realizations concerning twistor theory occurred during the short period of this third volume, providing a new perspective on the way that mathematical features of the complex geometry of twistor theory relate to actual physical fields. Following on from the nonlinear graviton construction, a twistor construction was found for (anti-)self-dual electromagnetism allowing the general (anti-)self-dual Yang-Mills field to be obtained. It became clear that some features of twistor contour integrals could be understood in terms of holomorphic sheaf cohomology. During this period, the Oxford research group founded the informal publication, Twistor Newsletter. This volume also contains the influential Weyl curvature hypothesis and new forms of Penrose tiles.
Sir Roger Penrose is renowned for his significant contributions to mathematical physics, in particular general relativity and cosmology. Currently Emeritus Rouse Ball Professor of Mathematics at the University of Oxford and Emeritus Fellow of Wadham College, he earned his Ph.D. in mathematics from the University of Cambridge in 1957, before being appointed Research Fellow at St. John's College, Cambridge. He then spent time at Princeton and Syracuse University before returning to the UK as a research associate at King's College, London, which was quickly followed by a further stint in the U.S. at the University of Texas at Austin. He then returned to the UK to Birkbeck College, London, where he eventually became Professor of Applied Mathematics. In 1973, he was appointed Rouse Ball Professor of Mathematics at the University of Oxford, earning the status Emeritus Professor in 1998. In the same year, he was also appointed Gresham Professor of Geometry at Gresham College, London. Penrose has been awarded numerous honors for his scientific contributions: in 1975 with Stephen Hawking he was awarded the Eddington Medal of the Royal Astronomical Society, and in 1988 Penrose and Hawking were awarded the Wolf Prize in Physics for their development of the theory of general relativity. In 1985, Penrose received the Royal Society's Royal Medal and in 1989 he was honored with the Dirac Medal and Prize of the British Institute of Physics. In 1990, he received the Albert Einstein Medal, followed by the Naylor Prize of the London Mathematical Society in 1991, and the DeMorgan Medal for his wide and original contributions to mathematical physics in 2004. A Fellow of the Royal Society of London since 1972, Penrose was elected Foreign Associate of the U.S. National Academy of Sciences in 1998 and in 1994 he was knighted for services to science.