About the Book
Professor Atiyah is one of the greatest living mathematicians and is renowned in the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still actively involved in the mathematics community. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into seven volumes, with the first five volumes divided thematically and the sixth and seventh arranged by date.
This seventh volume in Michael Atiyah's Collected Works contains a selection of his publications between 2002 and 2013, including his work on skyrmions; K-theory and cohomology; geometric models of matter; curvature, cones and characteristic numbers; and reflections on the work of Riemann, Einstein and Bott.
Table of Contents:
Commentary
174: (with Paul Sutcliffe) Skyrmions, Instantons, Mass and Curvature, Physics Letters B (605) pp.106-114 (2005)
175: (with G.B. Segal) Twisted K-theory & Cohomology in Inspired by S.S. Chern: A Memorial Volume in Honor of a Great Mathematician vol: 11, Publisher: World Scientific Pub. Col. Ltd.(2007)
176: (with R. Dijkgraaf & N. Hitchin) Geometry and Physics. Philos. Trans. R. Soc. London, Ser A Math. Phys. Eng. Sci. 368, no. 1914, pp.913-926. (2010)
177: (with Gregory W. Moore) A Shifted View of Fundamental Physics in Singer 85, Journal of Differential Geometry, Survey in Differential Geometry Vol. 15 (2011)
178: (with Nicholas Manton & Bernd Schroers) Geometric Models of Matter , Proc. of Roy.Soc.A. (to appear)
179: (with Claude LeBrun) Curvature, Cones and Characteristic Numbers, Math. Proc. Camb. Phil. Soc. Vol. 155, Issue 01, 13-37.
180: (with S. Zeki, O.J. Hulme, B. Roulston) The Encoding of Temporally Irregular and Regular Visual Patterns in the Human Brain. PLoS ONE 3(5): e2180 (2008)
181: The impact of Thom's cobordism theory. Bulletin of the American Mathematical Society, Volume 41, Number 3, pp.337-340 (2004)
182: Einstein and geometry. The legacy of Albert Einstein, 15-23, World Sci. Publ. Hackensack, NJ, pp.83-03(53-03), (2007)
183: Riemann's Inuence in Geometry, Analysis and Number Theory, Conferencies FME (Fac- ultat de Mathematiques i Estadistica, Universitat Politecnica de Catalunya), Vol. 15, 2008
184: Duality in Mathematics and Physics, Conferencies FME, Centre de Recerca Matematica (CRM), Institut de Matematica de la Universitat de Barcelona (IMUB), Vol. 15 2008
185: Some personal reminiscences, Oxford Figures: Eight Centuries of the Mathematical Sciences (editors: J. Fauvel, R. Flood and R.J. Wilson), pp. 325-334, OUP (2013)
186: Mathematics : Art and Science, Bulletin of the American Mathematical Society, Vol.43, pp.87-88 (2005)
187: Geometry and Physics of the 20th Century. In : KOUNEIHER Joseph, FLAMENT Do- minique, NABONNAND Philippe, dir., et al. Gomtrie au XXe sicle, 1930-2000. Histoire et horizons. Paris : Hermann, 2005. p. 4-9.
188: The art of mathematics. Notices Amer. Math. Soc. 57, no.1, p.8 (2010)
189: Mind, matter and mathematics, Berlin-Brandenberg Academy of Sciences, Berichte un Abhandlungen, 14: pp.151-161 (2008)
190: Introduction. Genie individuel ou environnement culturel, La Mathematique les lieux et le temps, Vol.1 p1-10, (2009) (English version)
191: The Athens Dialogues: Science & Ethics, The Spirit of Mathematics, (unpublished) (2011)
192: The Elements, Festival Milanesiana Lecture, July 2008
193: Lessons from the Scottish Enlightenment, Biennial Lecture of the Faculty of Actuaries, British Actuarial Journal & Institute and Faculty of Actuaries, Vol. 16, Part 1, pp.1-14 (2011)
194: Eighty Years On. A Community of Scholars: Impressions of the Institute for Advanced Study, Institute for Advanced Study, 2011
195: Science and the Military, Science and Technology Ethics edited by Raymond Spier, Routledge London, pp.207-219 (2002)
196: Science, Society and Side Effects, Science & Public Affairs, British Science Association, pp.22-23 (2002)
197: Benjamin Franklin and the Edinburgh Enlightenment, Proc. American Philosophical Society, 150 (4), pp.591-606 (December 2006)
198: Advice to a young mathematician in The Princeton Companion To Mathematics (T. Gowers, J. Barrow-Green, I. Leader (ed)) pp.1000-1010 (2006)
199: Raoul Bott, Biographical Memoirs of Fellows of the Royal Society, Vol.53, pp.63-76 (2007)
200: Jo Rotblat - Man with a Cause in Joseph Rotblat: Visionary for Peace, Wiley VCH, p.99-101 (May 2007)
201: Working with Raoul Bott: from geometry to physics. A celebration of the mathematical legacy of Raoul Bott, pp.51-61, CRM Proceedings Lecture Notes, 50, American Mathematical Society, Providence, RI (2010)
202: Autobiography in The Abel Prize 2003-2007, Springer (2010)
203: Mathematical work of Nigel Hitchin. The many facets of geometry, pp.11-16, Oxford University Press (2010)
204: Book reviews on Bourbaki: A Secret Society of Mathematicians and The Artist and the Mathematician, Notices of the American Mathematical Society, Vol.54, No.9 (2007)
205: Book Review, Thoughts of a Mathematician, Brain, Volume 131, Number 4 pp.1156-1160 Oxford University Press, (2008)
About the Author :
Professor Sir Michael Atiyah is acknowledged as one of the world's greatest living mathematicians. He held the Savilian Chair of Geometry at Oxford from 1963 until 1969 and was awarded the Fields Medal during this period (in 1966). He is a former President of the Royal Society, former Master of Trinity College, Cambridge, and was the first Director of the Isaac Newton Institute for the Mathematical Sciences. He remains active in mathematics and in 2013 opened
Oxford's new Mathematical Institute. He is currently Honorary Professor at the University of Edinburgh.
Review :
"Those whose research is in the kind of mathematical physics Atiyah has worked on don't need to be told that this volume is important for them, but I would argue that it will also be of great interest to historians. Atiyah is one of the most significant figures in the mathematics of the late twentieth century, as witnessed by his Abel Prize in 2004. Anyone interested in the period will find valuable source material in the survey essays in this volume." --Fernando Q. Gouvêa, MAA Reviews
