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| michael atiyah: Michael Atiyah Collected Works Michael Atiyah, 2004-10-28 This is volume six in the series of collected works from Professor Sir Michael Atiyah, one of the eminent mathematicians of the 20th century and Fields Medallist. It contains a selection of his publications since 1987, including his work on skyrmions, Atiyah's axioms for topological quantum field theories, monopoles, knots, K-theory, equivariant problems, point particles, and M-theory. |
| michael atiyah: Collected Works Michael Francis Atiyah, 2014 One of the greatest mathematicians in the world, Michael Atiyah has earned numerous honors, including a Fields Medal, the mathematical equivalent of the Nobel Prize. While the focus of his work has been in the areas of algebraic geometry and topology, he has also participated in research with theoretical physicists. For the first time, these volumes bring together Atiyah's collected papers--both monographs and collaborative works-- including those dealing with mathematical education and current topics of research such as K-theory and gauge theory. The volumes are organized thematically. They will be of great interest to research mathematicians, theoretical physicists, and graduate students in these areas. |
| michael atiyah: Michael Atiyah Collected Works Michael Atiyah, 2014-04-17 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. |
| michael atiyah: K-theory Michael Atiyah, 2018-03-05 These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The theory is taken as far as the solution of the Hopf invariant problem and a start is mode on the J-homomorphism. In addition to the lecture notes proper, two papers of mine published since 1964 have been reproduced at the end. The first, dealing with operations, is a natural supplement to the material in Chapter III. It provides an alternative approach to operations which is less slick but more fundamental than the Grothendieck method of Chapter III, and it relates operations and filtration. Actually, the lectures deal with compact spaces, not cell-complexes, and so the skeleton-filtration does not figure in the notes. The second paper provides a new approach to K-theory and so fills an obvious gap in the lecture notes. |
| michael atiyah: Collected Works Michael Francis Atiyah, |
| michael atiyah: Michael Atiyah Collected Works Michael Atiyah, 1988-04-28 One of the greatest mathematicians in the world, Michael Atiyah has earned numerous honors, including a Fields Medal, the mathematical equivalent of the Nobel Prize. While the focus of his work has been in the areas of algebraic geometry and topology, he has also participated in research with theoretical physicists. For the first time, these volumes bring together Atiyah's collected papers--both monographs and collaborative works-- including those dealing with mathematical education and current topics of research such as K-theory and gauge theory. The volumes are organized thematically. They will be of great interest to research mathematicians, theoretical physicists, and graduate students in these areas. |
| michael atiyah: Michael Atiyah Collected Works Michael Atiyah, 1988-04-28 This is a collection of the works of Michael Atiyah, a well-established mathematician and winner of the Fields Medal. It is thematically divided into volumes; this one discusses index theory. |
| michael atiyah: Collected Works: Michael Atiyah Collected Works Michael Atiyah, 1988-04-28 Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject. |
| michael atiyah: Collected Works: Michael Atiyah Collected WOrks Michael Atiyah, 1988-04-28 This is a collection of the works of Michael Atiyah, a well-established mathematician and winner of the Fields Medal. It is thematically divided into volumes; this one discusses index theory. |
| michael atiyah: The Founders of Index Theory Shing-Tung Yau, 2003 |
| michael atiyah: Michael Atiyah Collected Works Michael Atiyah, 1988-04-28 This is a collection of the works of Michael Atiyah, a well-established mathematician and winner of the Fields Medal. It is thematically divided into volumes; this one discusses gauge theory, a current topic of research. |
| michael atiyah: Sir Michael Atiyah Michael Francis Atiyah, 1998 A concis, yet comprehensive introduction to the contemporary politics of Latin America, this book focuses on the enduring difficulties of achieving democratic stability. It explores the conduct of government through classic concepts like authority, accountability, and participation. These themes are developed within a comparative perspective. |
| michael atiyah: Fields Medallists' Lectures Michael Atiyah, Daniel Iagolnitzer, 1997-10-13 Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches. |
| michael atiyah: Paul Dirac Abraham Pais, 1998-02-12 Paul Adrien Maurice Dirac was one of the founders of quantum theory. He is numbered alongside Newton, Maxwell and Einstein as one of the greatest physicists of all time. Together the lectures in this volume, originally presented on the occasion of the dedication ceremony for a plaque commemorating Dirac in Westminster Abbey, give a unique insight into the relationship between Dirac's character and his scientific achievements. The text begins with the dedication address given by Stephen Hawking at the ceremony. Then Abraham Pais describes Dirac as a person and his approach to his work. Maurice Jacob explains how Dirac was led to introduce the concept of antimatter, and its central role in modern particle physics and cosmology, followed by an account by David Olive of the origin and enduring influence of Dirac's work on magnetic monopoles. Finally, Sir Michael Atiyah explains the deep and widespread significance of the Dirac equation in mathematics. |
| michael atiyah: Collected Works: Michael Atiyah Collected Works Michael Atiyah, 1988-04-28 Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject. |
| michael atiyah: Elliptic Operators and Compact Groups M.F. Atiyah, 2006-08-01 These lectures, based on joint work with I. M. Singer, will describe an extension of the index theory of elliptic operators beyond that developed in [7], [8], [9]. In those papers we studied as elliptic operator P invariant under a compact Lie group G. |
| michael atiyah: Vector Fields on Manifolds Michael Francis Atiyah, 2013-03-09 This paper is a contribution to the topological study of vector fields on manifolds. In particular we shall be concerned with the problems of exist ence of r linearly independent vector fields. For r = 1 the classical result of H. Hopf asserts that the vanishing of the Euler characteristic is the necessary and sufficient condition, and our results will give partial extens ions of Hopf's theorem to the case r > 1. Arecent article by E. Thomas [10] gives a good survey of work in this general area. Our approach to these problems is based on the index theory of elliptic differential operators and is therefore rather different from the standard topological approach. Briefly speaking, what we do is to observe that certain invariants of a manifold (Euler characteristic, signature, etc. ) are indices of elliptic operators (see [5]) and the existence of a certain number of vector fields implies certain symmetry conditions for these operators and hence corresponding results for their indices. In this way we obtain certain necessary conditions for the existence of vector fields and, more generally , for the existence of fields of tangent planes. For example, one of our results is the following THEOREM (1. 1). Let X be a compact oriented smooth manifold 0/ dimension 4 q, and assume that X possesses a tangent fteld of oriented 2-planes (that is, an oriented 2-dimensional sub-bundle 0/ the tangent vector bundle). |
| michael atiyah: Collected Works: Michael Atiyah Collected Works Michael Atiyah, 1988-04-28 Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject. |
| michael atiyah: Sir Michael Atiyah , 1999 |
| michael atiyah: Collected Papers of V.K. Patodi Vijay Kumar Patodi, M. S. Narasimhan, 1996 Vijay Kumar Patodi was a brilliant Indian mathematicians who made, during his short life, fundamental contributions to the analytic proof of the index theorem and to the study of differential geometric invariants of manifolds. This set of collected papers edited by Prof M Atiyah and Prof Narasimhan includes his path-breaking papers on the McKean-Singer conjecture and the analytic proof of Riemann-Roch-Hirzebruch theorem for Kähler manifolds. It also contains his celebrated joint papers on the index theorem and the Atiyah-Patodi-Singer invariant. |
| michael atiyah: Michael Atiyah Collected Works Michael Atiyah, 2004-10-28 This is volume six in the series of collected works from Professor Sir Michael Atiyah, one of the eminent mathematicians of the 20th century and Fields Medallist. It contains a selection of his publications since 1987, including his work on skyrmions, Atiyah's axioms for topological quantum field theories, monopoles, knots, K-theory, equivariant problems, point particles, and M-theory. |
| michael atiyah: Oxford's Savilian Professors of Geometry Robin Wilson, 2022 To celebrate the 400th anniversary of the founding of the geometry chair, a meeting was held at the Bodleian Library in Oxford, and the talks presented at this meeting have formed the basis for this fully edited and lavishly illustrated book, which outlines the first 400 years of Oxford's Savilian Professors of Geometry. |
| michael atiyah: Seminar on the Atiyah-Singer Index Theorem Michael Francis Atiyah, 1965-09-21 The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming. |
| michael atiyah: How Mathematicians Think William Byers, 2010-05-02 To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a final scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself. |
| michael atiyah: Uncle Petros and Goldbach's Conjecture Apostolos Doxiadis, 2012-11-15 Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals. |
| michael atiyah: Michael Atiyah Collected Works Michael Atiyah, 2004-10-28 This is volume six in the series of collected works from Professor Sir Michael Atiyah, one of the eminent mathematicians of the 20th century and Fields Medallist. It contains a selection of his publications since 1987, including his work on skyrmions, Atiyah's axioms for topological quantum field theories, monopoles, knots, K-theory, equivariant problems, point particles, and M-theory. |
| michael atiyah: Quantum Topology Louis H. Kauffman, Randy A. Baadhio, 1993 This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the 1984/1985 discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This was followed by Edward Witten's introduction of methods of quantum field theory into the subject and the formulation by Witten and Michael Atiyah of the concept of topological quantum field theories.This book is a review volume of on-going research activity. The papers derive from talks given at the Special Session on Knot and Topological Quantum Field Theory of the American Mathematical Society held at Dayton, Ohio in the fall of 1992. The book consists of a self-contained article by Kauffman, entitled Introduction to Quantum Topology and eighteen research articles by participants in the special session.This book should provide a useful source of ideas and results for anyone interested in the interface between topology and quantum field theory. |
| michael atiyah: Undergraduate Commutative Algebra Miles Reid, 1995-11-30 Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position of abstract algebra in today's world. |
| michael atiyah: Lectures on Mechanics Jerrold E. Marsden, 1992-04-30 Based on the 1991 LMS Invited Lectures given by Professor Marsden, this book discusses and applies symmetry methods to such areas as bifurcations and chaos in mechanical systems. |
| michael atiyah: Mathematical Conversations Robin Wilson, Jeremy Gray, 2012-12-06 Approximately fifty articles that were published in The Mathematical Intelligencer during its first eighteen years. The selection demonstrates the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. Each article is introduced by the editors. ...The Mathematical Intelligencer publishes stylish, well-illustrated articles, rich in ideas and usually short on proofs. ...Many, but not all articles fall within the reach of the advanced undergraduate mathematics major. ... This book makes a nice addition to any undergraduate mathematics collection that does not already sport back issues of The Mathematical Intelligencer. D.V. Feldman, University of New Hamphire, CHOICE Reviews, June 2001. |
| michael atiyah: Commutative Algebra David Eisenbud, 2013-12-01 Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included. This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help to make the book relatively self- contained. Novel results and presentations are scattered throughout the text. |
| michael atiyah: Lectures on Field Theory and Topology Daniel S. Freed, 2019-08-23 These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics. |
| michael atiyah: A Primer of Real Analytic Functions KRANTZ, PARKS, 2013-03-09 The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly. |
| michael atiyah: K-Theory Max Karoubi, 2009-11-27 From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch considered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological K-theory that this book will study. Topological K-theory has become an important tool in topology. Using K- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from K-theory. The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. In addition, several applications of the type described above are included. In general we have tried to make this book self-contained, beginning with elementary concepts wherever possible; however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups.Thus this book might be regarded as a fairly self-contained introduction to a generalized cohomology theory. |
| michael atiyah: Essays on Topology and Related Topics Andre Haefliger, Raghavan Narasimhan, 2012-12-06 |
| michael atiyah: Commutative Ring Theory Hideyuki Matsumura, 1989-05-25 This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry. |
| michael atiyah: Idempotency Jeremy Gunawardena, 2008-01-21 Certain nonlinear optimization problems arise in such areas as the theory of computation, pure and applied probability, and mathematical physics. These problems can be solved through linear methods, providing the usual number system is replaced with one that satisfies the idempotent law. Only recently has a systematic study of idempotency analysis emerged, triggered in part by a workshop organized by Hewlett-Packard's Basic Research Institute in the Mathematical Sciences (BRIMS), which brought together for the first time many leading researchers in the area. This volume, a record of that workshop, includes a variety of contributions, a broad introduction to idempotency, written especially for the book, and a bibliography of the subject. It is the most up-to-date survey currently available of research in this developing area of mathematics; the articles cover both practical and more theoretical considerations, making it essential reading for all workers in the area. |
| michael atiyah: The Geometry of Schemes David Eisenbud, Joe Harris, 2006-04-06 Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice. |
| michael atiyah: Michael Atiyah Collected Works , 2004 |
| michael atiyah: Miscellanea Mathematica Peter Hilton, Friedrich Hirzebruch, Reinhold Remmert, 2012-12-06 Mathematics has a certain mystique, for it is pure and ex- act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in- dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz G|tze,who has dedicated his life to scientific pu- blishing, took up this challenge with his typical enthusi- asm. This Festschrift celebrates his invaluable contribu- tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz G|tze's life-longsupport of mathematics. |
Michael Atiyah - Wikipedia
Sir Michael Francis Atiyah (/ ə ˈ t iː ə /; 22 April 1929 – 11 January 2019) was a British-Lebanese mathematician specialising in geometry. [4] His contributions include the Atiyah–Singer index …
Sir Michael Francis Atiyah | Biography & Awards | Britannica
Apr 18, 2025 · Sir Michael Francis Atiyah, British mathematician who was awarded the Fields Medal in 1966 primarily for his work in topology. Along with American Isadore Singer, he …
Michael Atiyah (1929 - 2019) - MacTutor History of Mathematics
Jan 11, 2019 · Michael Atiyah worked in Topology and Geometry and was best known for his work on K-theory and the Atiyah-Singer Index Theorem. He was awarded a Fields Medal in …
Michael Atiyah, Mathematician in Newton’s Footsteps, Dies at 89
Jan 11, 2019 · Michael Atiyah, a British mathematician who united mathematics and physics during the 1960s in a way not seen since the days of Isaac Newton, died on Friday. He was 89.
Sir Michael Atiyah OM. 22 April 1929–11 January 2019
Sep 2, 2020 · Michael Atiyah was the dominant figure in UK mathematics in the latter half of the twentieth century. He made outstanding contributions to geometry, topology, global analysis …
Sir Michael Atiyah, Celebrated Mathematician, Dies at 89
Jan 11, 2019 · As one of the world’s most revered mathematicians, Atiyah produced work that has served as an inspiration to scholars around the globe, from his first major …
Mathematical Beauty: A Q&A with Fields Medalist Michael Atiyah
Mar 9, 2016 · Despite Michael Atiyah’s many accolades—he is a winner of both the Fields and the Abel prizes for mathematics; a past president of the Royal Society of London, the oldest …
Michael F. Atiyah (1929–2019) - Nature
Feb 1, 2019 · Specializing in algebraic geometry and topology, the study of shapes and their transformations, Atiyah made his greatest contributions through dialogue with leading …
Michael Atiyah and the Beauty of Mathematics - Simons …
Jul 15, 2009 · When Michael Atiyah proved the index theorem in 1963, mathematicians were stunned. Atiyah and his collaborator, Isadore Singer, had found a hidden bridge that …
MICHAEL FRANCIS ATIYAH - American Philosophical Society
Atiyah’s early interests were in applications of topology to algebraic geometry—that is, he was interested in understanding the complicated spaces that can be defined by the solutions of …
Michael Atiyah - Wikipedia
Sir Michael Francis Atiyah (/ ə ˈ t iː ə /; 22 April 1929 – 11 January 2019) was a British-Lebanese mathematician specialising in geometry. [4] His contributions include the Atiyah–Singer index …
Sir Michael Francis Atiyah | Biography & Awards | Britannica
Apr 18, 2025 · Sir Michael Francis Atiyah, British mathematician who was awarded the Fields Medal in 1966 primarily for his work in topology. Along with American Isadore Singer, he …
Michael Atiyah (1929 - 2019) - MacTutor History of Mathematics
Jan 11, 2019 · Michael Atiyah worked in Topology and Geometry and was best known for his work on K-theory and the Atiyah-Singer Index Theorem. He was awarded a Fields Medal in …
Michael Atiyah, Mathematician in Newton’s Footsteps, Dies at 89
Jan 11, 2019 · Michael Atiyah, a British mathematician who united mathematics and physics during the 1960s in a way not seen since the days of Isaac Newton, died on Friday. He was 89.
Sir Michael Atiyah OM. 22 April 1929–11 January 2019
Sep 2, 2020 · Michael Atiyah was the dominant figure in UK mathematics in the latter half of the twentieth century. He made outstanding contributions to geometry, topology, global analysis …
Sir Michael Atiyah, Celebrated Mathematician, Dies at 89
Jan 11, 2019 · As one of the world’s most revered mathematicians, Atiyah produced work that has served as an inspiration to scholars around the globe, from his first major …
Mathematical Beauty: A Q&A with Fields Medalist Michael Atiyah
Mar 9, 2016 · Despite Michael Atiyah’s many accolades—he is a winner of both the Fields and the Abel prizes for mathematics; a past president of the Royal Society of London, the oldest …
Michael F. Atiyah (1929–2019) - Nature
Feb 1, 2019 · Specializing in algebraic geometry and topology, the study of shapes and their transformations, Atiyah made his greatest contributions through dialogue with leading …
Michael Atiyah and the Beauty of Mathematics - Simons …
Jul 15, 2009 · When Michael Atiyah proved the index theorem in 1963, mathematicians were stunned. Atiyah and his collaborator, Isadore Singer, had found a hidden bridge that …
MICHAEL FRANCIS ATIYAH - American Philosophical Society
Atiyah’s early interests were in applications of topology to algebraic geometry—that is, he was interested in understanding the complicated spaces that can be defined by the solutions of …
