Lane Palmer Hughston
Staff details
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Lane Hughston is Professor of Mathematics in the Department of Computing. His doctoral degree in mathematics is from the University of Oxford. He has carried out work in general relativity, cosmology, twistor theory, quantum mechanics, statistical mechanics, thermodynamics, and a number of different areas of mathematical finance and its applications, including interest rates, foreign exchange,, inflation, and information based asset pricing. He is Editor-in-Chief of International Journal of Theoretical and Applied Finance. He is a member of the London Mathematical Society, the European Mathematical Society, the American Finance Association, the American Physical Society, and the Society for Industrial and Applied Mathematics (SIAM). He is a Fellow of the Institute of Mathematics and its Applications, and is a lifetime member of the American Mathematical Society, the Bachelier Finance Society, and the International Society on General Relativity and Gravitation.
Research Interests
Mathematical physics, mathematical finance
Publications
Article
Brody, Dorje C. and Hughston, Lane P.. 2016. Thermodynamics of quantum heat bath. Journal of Physics A: Mathematical and Theoretical, 49(42), p. 425302. ISSN 1751-8113
Brody, DC and Hughston, Lane P.. 2016. Social Discounting and the Long Rate of Interest. Mathematical Finance, 28(1), pp. 306-334. ISSN 0960-1627
Hughston, Lane P. and Salamon, SM.. 2016. Surveying points in the complex projective plane. Advances in Mathematics, 286, pp. 1017-1052. ISSN 0001-8708
Brody, Dorje C.; Hughston, Lane P. and Meier, David M. 2015. Fragile entanglement statistics. Journal of Physics A: Mathematical and Theoretical, 48(42), p. 425301. ISSN 1751-8113
Brody, DC and Hughston, Lane P.. 2015. Universal Quantum Measurements. Journal of Physics: Conference Series, 624, ISSN 1742-6588
Book Section
Brody, DC and Hughston, Lane P.. 2018. Quantum State Reduction. In: Shan Gao, ed. Collapse of the Wave Function. Cambridge: Cambridge University Press, pp. 47-73. ISBN 9781316995457
Bender, Carl M.; Brody, Dorje C.; Hughston, Lane P. and Meister, Bernhard K.. 2016. Geometric Aspects of Space-Time Reflection Symmetry in Quantum Mechanics. In: , ed. Geometric aspects of space-time reflection symmetry in quantum mechanics. 184 Berlin: Springer Verlag, pp. 185-199. ISBN 978-3-319-31354-2
Hoyle, E; Hughston, Lane P. and Macrina, A.. 2015. Stable-1/2 bridges and insurance. In: , ed. Stable-1/2 bridges and insurance. 104 Poland: Banach Center Publications, Volume 104, Institute of Mathematics, Polish Academy of Sciences, Warsaw, pp. 95-120.
