After graduation, his bachelor's degree, Atia, continued his research and obtained a doctorate from Cambridge University. Then he proposed his compatriot Trinity College of Cambridge University in 1954. Atia worked as a Commonwealth researcher for one year from 65438 to 0955, and the Institute of Advanced Studies was in Princeton. After returning to Cambridge, he worked as a lecturer and researcher in a university from 1957 to 1958. He stayed in Cambridge until 196 1, and then he went to Oxford University in England, where he became a researcher at St. Catherine's College.
Atia filled the famous Savirian Chair of Geometry in Oxford University from 1963 at the fastest speed, and served as this chair until 1969 was appointed as a professor of mathematics at Princeton Institute of Advanced Studies. After three years in Princeton, Atia returned to England and became a research professor at Oxford University. He was also elected as an academician of St Catherine's College of Oxford University.
Oxford University maintained the foundation of Atia until 1990, when he became the dean of Trinity College of Cambridge University and the director of the newly-opened isaac newton Institute of Mathematics of Cambridge University.
Explaining how Atia learns the space of carrier combination can be regarded as studying the homology theory, that is, the so-called potassium theory. Grothendieck also greatly promoted the development of K theory. Atia's early mathematical work is described as follows:
Michael Atia has made extensive contributions to the interaction between geometry and analysis around mathematics. His first major contribution (cooperation with Hirzebruch) was the development of a new powerful technology (potassium theory) in topology, which led to the solution of many unsolved thorny problems. Later (and instant singer) established an important theorem to deal with some solutions of elliptic differential equations. This exponential theorem is a precedent in algebraic geometry, and leads to a new important connection among differential geometry, topology and analysis. Considering symmetry leads to a new and perfect fixed point theorem, which has wide applicability.
Because of these early achievements, Atia was awarded the Fields Medal at the Moscow International Conference in 1966. The address about Atia's contribution is to meet Henry Caldan in Congress. Atia's K Theory and Exponential Theorem in Potassium Theory (1967, reprint 1989) and his cooperation with Siegel's Elliptic Operator of GB Exponential Volume 88 and Volume 93 (197 1 year). Atia also introduced his work index theorem in the academic lecture provided by the elliptic operator of index in 1973.
These ideas led Atia to be awarded the Fields Medal, which was later regarded as the basic particle to measure related theories. We quote again as follows:
Exponential theorem can be explained from quantum theory and proved to be a useful tool for theoretical physicists. Besides these linear problems, the measurement also involves deep theories and interesting nonlinear differential equations. In particular, the Young-Mills equation proved to be a particularly fruitful mathematician. Atia started a lot of early work in this field, and his student Danaldson Simon also used these ideas brilliantly in four-dimensional geometry. Recently, Atia has been emphasizing the influential topological quantum field theory, which makes theoretical physicists, especially Witten, pay attention to the field of mathematics.
The basic particles of hyperspace theory and overweight string theory, including Riemann surface novels and the theory of unexpected ways, are Atia's opinions on the development and utilization of theoretical physics in various fields.
Atia has won many honors in his career. Apart from the Fields Medal mentioned above, it is impossible to list quite a few here. At the age of 32 1962, he was elected as an academician of the Royal Society of London. He won the Royal Medal Association in 1968 and his copley Medal in 1988. He taught global geometry to Beckrian of the Royal Society in 1975, and served as the Royal Society from 1990 to 1995.
Among these awards, he won the Feltri Prize of the National Academy of Arts 198 1, the King Faisal International Science Award of 1987, the Benjamin Franklin Medal and the Nehru Medal.
Atia was a lecturer at the seminar of American Mathematical Society in 1973. He was a member of the Mathematical Society of London, and won the De Morgan Medal from 1974 to 1980. Atia was knighted in 1983 and awarded a membership medal in 1992. In 2004, he and isador singer were awarded the Neils Abel Prize for their work on 480,000 Atia-Singer index theorems.
He was elected as a member of many foreign universities, including the United States, Sweden, Germany, France, Ireland, India, Australia, China, Russia and Ukraine. Many universities awarded him honorary degrees, including Bonn, Warwick, Durham, St Andrews, Dublin, Chicago, Edinburgh, Cambridge, Essex, London, Sussex, Ghent, Reading, Helsinki, Leicester, Rutgers University, Salamanca, Montreal, Waterloo, Wales, Queen's College, Kingston, Kiel, Birmingham, Lebanon and so on.