Background
Hughston, Lane Palmer was born on December 24, 1951 in Corpus Christi, Texas, United States. Son of Edward Wallace and Joan Lorraine (Palmer) Hughston.
(Twistor theory is the remarkable mathematical framework t...)
Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory. It have since developed into a broad, many-faceted programme that attempts to resolve basic problems in physics by encoding the structure of physical fields and indeed space-time itself into the complex analytic geometry of twistor space. Twistor theory has important applications in diverse areas of mathematics and mathematical physics. These include powerful techniques for the solution of nonlinear equations, in particular the self-duality equations both for the Yang-Mills and the Einstein equations, new approaches to the representation theory of Lie groups, and the quasi-local definition of mass in general relativity, to name but a few. This volume and its companions comprise an abundance of new material, including an extensive collection of Twistor Newsletter articles written over a period of 15 years. These trace the development of the twistor programme and its applications over that period and offer an overview on the current status of various aspects of that programme. The articles have been written in an informal and easy-to-read style and have been arranged by the editors into chapter supplemented by detailed introductions, making each volume self-contained and accessible to graduate students and nonspecialists from other fields. Volume II explores applications of flat twistor space to nonlinear problems. It contains articles on integrable or soluble nonlinear equations, conformal differential geometry, various aspects of general relativity, and the development of Penrose's quasi-local mass construction.
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(This long-awaited textbook offers a concise one-semester ...)
This long-awaited textbook offers a concise one-semester introduction to basic general relativity suitable for mathematics and physics undergraduates. Emphasis is placed on the student's development of both a solid physical grasp of the subject and a sophisticated calculational facility. The text is supplemented by numerous geometrical diagrams and by a large selection of challenging exercises and problems.
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mathematician investment banker
Hughston, Lane Palmer was born on December 24, 1951 in Corpus Christi, Texas, United States. Son of Edward Wallace and Joan Lorraine (Palmer) Hughston.
Student, Massachusetts Institute of Technology, 1969-1971; student, Princeton University, 1971-1972; Master of Arts, Doctor of Philosophy, Oxford (England) University, 1976.
Born 24 December 1951) is an American mathematician. He was awarded a doctoral degree in mathematics by the University of Oxford where he was a Rhodes Scholar and a student of Professor Roger Penrose. Following the completion of his doctorate he held a Junior Research Fellowship at Wolfson College, Oxford, and then was Fellow and Tutor in Applied Mathematics at Lincoln College, Oxford.
He has worked as a financial engineer and risk manager at Merrill Lynch, London, as Professor of Financial Mathematics at King"s College London, as Professor of Mathematical Finance at Imperial College London, and as Professor of Mathematics at Brunel University.
He has, among other areas, carried out work in general relativity, cosmology, twistor theory, quantum mechanics, statistical mechanics, and in various aspects of mathematical finance, including the theory of interest rate derivatives and the theory of information-based asset pricing. Lane P. Hughston is Editor-in-Chief of International Journal of Theoretical and Applied Finance.
He has held visiting professorships at the University of Texas at Austin, King"s College London, the Perimeter Institute for Theoretical Physics, and University College London.
(Twistor theory is the remarkable mathematical framework t...)
(This long-awaited textbook offers a concise one-semester ...)
He is a member of the London Mathematical Society, the European Mathematical Society, the Bachelier Finance Society, the American Finance Association, and the American Physical Society. He is a Fellow of the Institute of Mathematics and its Applications, and is a lifetime member of the American Mathematical Society and the International Society on General Relativity and Gravitation.