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British-Lebanese mathematician (1929–2019)
Sir Michael Francis Atiyah (/əˈtiːə/; 22 April 1929 – 11 January 2019) was a British-Lebanese mathematician specialising in geometry. His contributions
Michael_Atiyah
1960 article by Eugene Wigner
motivated by interpretations in the sciences". The tables were turned by Michael Atiyah with his essay "The unreasonable effectiveness of physics in mathematics
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences
Mathematical result in differential geometry
In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential
Atiyah–Singer_index_theorem
American mathematician (1924–2021)
of California, Berkeley. Singer is noted for his work with Michael Atiyah, proving the Atiyah–Singer index theorem in 1962, which enabled new interactions
Isadore_Singer
Fixed-point theorem for smooth manifolds
In mathematics, the Atiyah–Bott fixed-point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed-point
Atiyah–Bott fixed-point theorem
Atiyah–Bott_fixed-point_theorem
1969 mathematics textbook
to by the authors' names as "Atiyah and Macdonald") is a well-known commutative algebra textbook written by Michael Atiyah and Ian G. Macdonald. It is
Introduction to Commutative Algebra
Introduction_to_Commutative_Algebra
Name list
Atiyah (Arabic: عطية ‘aṭiyyah), is a unisex given name of Arabic origin. It is also spelt as Atiyeh, Attiah, Attieh, Atieh, Atié, Atiya, Atiyya, Attiya
Atiyah
Branch of algebraic topology
Alexander Grothendieck. The early work on topological K-theory is due to Michael Atiyah and Friedrich Hirzebruch. Let X be a compact Hausdorff space and k =
Topological_K-theory
American theoretical physicist
International Mathematical Union in 1990. In a written address to the ICM, Michael Atiyah said of Witten: Although he is definitely a physicist (as his list of
Edward_Witten
Seven mathematical problems with a US$1 million prize for each solution
resolution. The seven problems were officially announced by John Tate and Michael Atiyah during a ceremony held on May 24, 2000 (at the amphithéâtre Marguerite
Millennium_Prize_Problems
Romanian–American mathematician
moved to the United States, where he went to work for two years with Michael Atiyah at the Institute for Advanced Study in Princeton, New Jersey. He received
George_Lusztig
British-Israeli mathematician
Homology representations of braid groups and her thesis adviser was Sir Michael Atiyah. Lawrence and her father moved to America for Lawrence's first academic
Ruth_Lawrence
French mathematician (1928–2014)
Springer-Verlag, ISBN 978-0-387-90244-9, MR 0463157 Michael Atiyah (3 April 2014). Michael Atiyah Collected Works: Volume 7: 2002–2013. Oxford University
Alexander_Grothendieck
algebraic geometry Branko Grünbaum (1929–2018) – discrete geometry Michael Atiyah (1929–2019) Lev Semenovich Pontryagin (1908–1988) Geoffrey Colin Shephard
List_of_geometers
Mathematics award
from the original on 30 August 2014. Retrieved 17 August 2014. "Sir Michael F. Atiyah : The Abel Prize" (PDF). Upcommons.upc.edu (in Spanish). Archived
Fields_Medal
mathematics, the Atiyah–Hirzebruch spectral sequence is a spectral sequence for calculating generalized cohomology, introduced by Michael Atiyah and Friedrich
Atiyah–Hirzebruch spectral sequence
Atiyah–Hirzebruch_spectral_sequence
British writer and political activist (1903–1964)
four children, including the renowned mathematician, Sir Michael Atiyah, and Patrick Atiyah, an academic and professor of law. He served as secretary
Edward_Atiyah
In mathematics, the Atiyah algebroid, or Atiyah sequence, of a principal G {\displaystyle G} -bundle P {\displaystyle P} over a manifold M {\displaystyle
Atiyah_algebroid
Invariant of closed manifolds, in mathematics
k_{F}(M)=\sum _{i=0}^{2n}\dim H^{2i}(M,F){\bmod {2}}} where F is a field. Michael Atiyah and Isadore Singer (1971) showed that the Kervaire semi-characteristic
Kervaire_semi-characteristic
Method of constructing instanton solutions
the construction of all instantons using methods of linear algebra by Michael Atiyah, Vladimir Drinfeld, Nigel Hitchin, Yuri I. Manin in their paper "Construction
ADHM_construction
British mathematician
Teichmüller space; the Atiyah–Hitchin monopole metric; the Atiyah–Hitchin–Singer theorem; the ADHM construction of instantons (of Michael Atiyah, Vladimir Drinfeld
Nigel_Hitchin
German mathematician (1885–1955)
mathematicians of the nineteenth century", Henri Poincaré and David Hilbert. Michael Atiyah commented that whenever he examined a mathematical topic, he found that
Hermann_Weyl
English lawyer and academic (1931–2018)
Atiyah was born on 5 March 1931. He was a son of the Lebanese writer Edward Atiyah and his Scottish wife Jean. The mathematician Sir Michael Atiyah was
Patrick_Atiyah
Mathematician's Apology. Past presidents of The Archimedeans include Michael Atiyah and Richard Taylor. The main focus of the society's activities are the
The_Archimedeans
British mathematician (1923–2010)
attended by John Frank Adams, Michael Atiyah, David B. A. Epstein, Terry Wall and Christopher Zeeman. Via Hilton, Atiyah became aware of Jean-Pierre Serre's
Peter_Hilton
British mathematician (born 1963)
He completed his DPhil at Oxford University under the direction of Michael Atiyah. He has had a long association with Merton College, the oldest of the
Peter_B._Kronheimer
Australian mathematician
the supervision of Michael Atiyah, was titled Equivariant K-theory. His thesis was in the area of equivariant K-theory. The Atiyah–Segal completion theorem
Graeme_Segal
Pseudonym of a group of mathematicians
297. Atiyah, Michael. "Book Review: Bourbaki, A Secret Society of Mathematicians and The Artist and the Mathematician, Reviewed by Michael Atiyah" (PDF)
Nicolas_Bourbaki
17 November 1992 6 June 1898 – 8 March 2001 Ballet Dancer 162. Sir Michael Atiyah 17 November 1992 22 April 1929 – 11 January 2019 Mathematician 163.
List of members of the Order of Merit
List_of_members_of_the_Order_of_Merit
Result on the topology of operators on an infinite-dimensional, complex Hilbert space
coming from Kuiper's theorem is the proof of the Atiyah–Jänich theorem (after Klaus Jänich and Michael Atiyah), stating that the space of Fredholm operators
Kuiper's_theorem
On the cohomology ring of the moduli stack of principal bundles
graded-commutative algebra on certain homogeneous generators. The original work of Michael Atiyah and Raoul Bott concerned the integral cohomology ring of Bun G ( X
Atiyah–Bott_formula
Mathematical heuristic
Springer Nature. p. 12. ISBN 978-3-031-68934-5. Atiyah, Michael (28 April 1988). Collected Works: Michael Atiyah Collected Works. Vol. 1: Early Papers, General
Grothendieck's relative point of view
Grothendieck's_relative_point_of_view
Canadian mathematician
from the University of Oxford in 1991, under the supervision of Sir Michael Atiyah. After working as postdoctoral researcher at the Institute for Advanced
Lisa_Jeffrey
British mathematician (born 1959)
Quotients in Symplectic and Algebraic Geometry, which was supervised by Michael Atiyah. Kirwan's research interests include moduli spaces in algebraic geometry
Frances_Kirwan
Equations describing magnetic monopoles
equations are named after E. B. Bogomolny and were studied extensively by Michael Atiyah and Nigel Hitchin. The equations are a dimensional reduction of the
Bogomolny_equations
American mathematician
manifolds that he discovered in 1989 and that was named after him by Michael Atiyah and Edward Witten. LeBrun is also known for his work on Einstein manifolds
Claude_LeBrun
British mathematician
Phil. in 1985 from the University of Oxford under the supervision of Michael Atiyah. As a post-doctoral student, he was at the Mathematical Sciences Research
John_Roe_(mathematician)
Gradient flow of the Yang–Mills action functional
underlying Yang–Mills theory in 1954, although it was first studied by Michael Atiyah and Raoul Bott in 1982. It was also studied by Simon Donaldson in the
Yang–Mills_flow
Branch of mathematics
topology; see Higgins (1971). Topological combinatorics. Frank Adams Michael Atiyah Enrico Betti Armand Borel Karol Borsuk Raoul Bott Luitzen Egbertus Jan
Algebraic_topology
Hungarian mathematician (born 1943)
Moiseevich Gelfand. After spending a year at Christ Church, Oxford, where Michael Atiyah held the Savilian Chair of Geometry, he vowed never to return to Hungary
Béla_Bollobás
Result about the connection between projective planes and spheres
in 1999 as well as by Michael Atiyah and Edward Witten in 2001. The octonionic generalization was described by Michael Atiyah and Jürgen Berndt in 2002
Arnold–Kuiper–Massey_theorem
Norwegian international mathematics prize
Academy of Science and Letters. Retrieved 21 July 2022. "2004: Sir Michael Francis Atiyah and Isadore M. Singer". The Norwegian Academy of Science and Letters
Abel_Prize
American foundation
involved in the selection and presentation of the seven problems were Michael Atiyah, Enrico Bombieri, Alain Connes, Pierre Deligne, Charles Fefferman, John
Clay_Mathematics_Institute
English mathematician (born 1957)
Worcester College, Oxford, at first under Nigel Hitchin and later under Michael Atiyah's supervision. Still a postgraduate student, Donaldson proved in 1982
Simon_Donaldson
Mathematics professorship at the University of Oxford
professors, Sylvester and Michael Atiyah (professor 1963–69), have been awarded the Copley Medal of the Royal Society; Atiyah also won the Fields Medal
Savilian Professor of Geometry
Savilian_Professor_of_Geometry
Hungarian-American mathematician (1923-2005)
functions. This led to his role as collaborator over many years with Michael Atiyah, initially via the part played by periodicity in K-theory. Bott made
Raoul_Bott
Russian and French mathematician (born 1964)
where he sketched a proof of the Witten conjecture to the amazement of Michael Atiyah and other mathematicians and his invitation to the institute was subsequently
Maxim_Kontsevich
Mathematical manifold theory
of Math. (2). 28 (1): 342–354. doi:10.2307/1968379. JSTOR 1968379. Michael Atiyah, William Vallance Douglas Hodge, 17 June 1903 – 7 July 1975, Biogr.
Hodge_theory
the association, he became a strong public advocate for the movement. Michael Atiyah: British mathematician. Margaret Atwood: Canadian author. Named Humanist
List_of_secular_humanists
Award by Britain's Royal Society
June 2024. Retrieved 7 June 2024. Atiyah, Michael (31 January 1993). "Address of the President, Sir Michael Atiyah, O.M., Given at the Anniversary Meeting
Rumford_Medal
Branch of mathematics
conjecture. During this same period primarily due to the influence of Michael Atiyah, new links between theoretical physics and differential geometry were
Differential_geometry
Quantum field theory
Kaluza-Klein Theory in 1953". arXiv:gr-qc/0012054. Atiyah, M. (2017). "Ronald Shaw 1929–2016 by Michael Atiyah (1954)". Trinity College Annual Record (memorial)
Yang–Mills_theory
Aesthetic value of mathematics
curiosity reward. Brain imaging experiments conducted by Semir Zeki, Michael Atiyah and collaborators show that the experience of mathematical beauty has
Mathematical_beauty
Public university in Scotland
Turing Award winners Robin Milner Leslie Valiant, and mathematician Sir Michael Atiyah, Fields Medalist and Abel Prize laureate, are associated with the university
University_of_Edinburgh
British mathematician
called 'the debauch of indices' in its component notation. According to Atiyah, this was intended to update and replace H. F. Baker's Principles of Geometry
W._V._D._Hodge
British historian of science (1930–2021)
Cambridge. At Cambridge, Hoskins's fellow students included mathematicians Michael Atiyah and Roger Penrose. After receiving his doctorate, Hoskin was elected
Michael_Hoskin
American mathematician (1921 to 1962)
Clifford algebras and periodicity with Raoul Bott, later redone by Michael Atiyah and Bott. During WWII Shapiro was in the US Army signal corps stationed
Arnold_S._Shapiro
Homotopy invariant of maps between n-spheres
theorem, proved first by Frank Adams, and subsequently by Adams and Michael Atiyah with methods of topological K-theory, that these are the only maps with
Hopf_invariant
Differential form in commutative algebra
1007/BF02684807, ISSN 0073-8301, MR 0199194, S2CID 123434721 (letter to Michael Atiyah, October 14, 1963) Grothendieck, Alexander (1966b), Letter to John Tate
Kähler_differential
Version without requiring the smooth manifolds involved to carry a complex structure
involved carry a complex structure. Results of this kind were obtained by Michael Atiyah and Friedrich Hirzebruch in 1959, reducing the requirements to something
Riemann–Roch theorem for smooth manifolds
Riemann–Roch_theorem_for_smooth_manifolds
Postgraduate center in New Jersey, US
been the academic home of scholars like James Waddell Alexander II, Michael Atiyah, Enrico Bombieri, Shiing-Shen Chern, Pierre Deligne, Freeman Dyson,
Institute_for_Advanced_Study
Day of the year
1944) 2018 – Edgar Ray Killen, American murderer (born 1925) 2019 – Michael Atiyah, British-Lebanese mathematician (born 1929) 2023 – Carole Cook, American
January_11
Partial differential equations whose solutions are instantons
connections have been intensively studied in specific circumstances. Michael Atiyah and Raoul Bott studied the Yang–Mills equations for bundles over compact
Yang–Mills_equations
the  genus and the Todd genus. The ABS orientations are named after Michael Atiyah, Raoul Bott und Arnold Shapiro, who introduced it in 1963. The ABS orientations
Atiyah–Bott–Shapiro orientation
Atiyah–Bott–Shapiro_orientation
international cricketer Michael Atherton (musician) (born 1950), Australian musician, composer, academic and author Michael Atiyah (1929–2019), British-Lebanese
List of people with given name Michael
List_of_people_with_given_name_Michael
1728–1797" (PhD dissertation 2001, University of Edinburgh) p 1 online Michael Atiyah, "Benjamin Franklin and the Edinburgh Enlightenment," Proceedings of
History_of_Edinburgh
homology and cohomology complex cobordism theories were introduced by Michael Atiyah (1961) using the Thom spectrum. The complex bordism M U ∗ ( X ) {\displaystyle
Complex_cobordism
Relationship between fields of study
Essentials of Physics. PHI Learning Pvt. Ltd. p. 3. ISBN 978-81-203-4642-0. Atiyah, Michael (1990). On the Work of Edward Witten (PDF). International Congress
Relationship between mathematics and physics
Relationship_between_mathematics_and_physics
Scottish academic and public servant (1941-2018)
In office 2002–2005 Preceded by Sir William Stewart Succeeded by Sir Michael Atiyah Member of the House of Lords Lord Temporal Life peerage 29 June 2001 –
Stewart Sutherland, Baron Sutherland of Houndwood
Stewart_Sutherland,_Baron_Sutherland_of_Houndwood
Mathematics reference book (2008)
top honor in mathematics. Other contributors include Fields medalists Michael Atiyah, Alain Connes, Charles Fefferman, and Terence Tao, and well-known mathematicians
The Princeton Companion to Mathematics
The_Princeton_Companion_to_Mathematics
possible values of l 2 {\displaystyle l^{2}} -Betti numbers. In 1976, Michael Atiyah introduced l 2 {\displaystyle l^{2}} -cohomology of manifolds with a
Atiyah_conjecture
British chemist (1920–2002)
Chancellor of the University of Leicester 1984–1995 Succeeded by Sir Michael Atiyah Professional and academic associations Preceded by Andrew Huxley 56th
George_Porter
Fellows of Pembroke College, Cambridge. Charles Freer Andrews Sir Michael Atiyah Sir Michael Bett Paul Bew, Baron Bew Martin Biddle Cath Bishop Jeremy Bloxham
List of honorary fellows of Pembroke College, Cambridge
List_of_honorary_fellows_of_Pembroke_College,_Cambridge
French mathematical physicist
of some representations of quantum theories His collaborations with Michael Atiyah to figure out a geometric model for matter. Starting from the idea of
Joseph_Kouneiher
Porter (Baron Porter of Luddenham after 1990) Chemist 57 1990–1995 Sir Michael Atiyah Mathematician 58 1995–2000 Sir Aaron Klug Chemist and biophysicist 59
List of presidents of the Royal Society
List_of_presidents_of_the_Royal_Society
Bronze medal awarded by the Royal Society (London)
June 2023. Retrieved 1 July 2024. Atiyah, Michael (31 January 1993). "Address of the President, Sir Michael Atiyah, given at the Anniversary meeting on
Sylvester_Medal
German-American mathematician
conjecture on the discrete series, along with a later proof (joint with Michael Atiyah) constructing all such discrete series representations on spaces of
Wilfried_Schmid
English mathematician
to the Institute for Advanced Study where she worked with Segal on the Atiyah–Segal completion theorem. She then returned to England, where she took up
Dusa_McDuff
Mathematical object
by Michael Atiyah and George W. Whitehead in their work on generalized homology theories in the early 1960s. The 1964 doctoral thesis of J. Michael Boardman
Spectrum_(topology)
Indian economist and Nobel laureate (born 1933)
Retrieved 29 November 2022. Britz, Johannes, Anthony Hoffmann, Shana Ponelis, Michael Zimmer, and Peter Lor. 2013. "On Considering the Application of Amartya
Amartya_Sen
Administrator and diplomat from England (born 1935)
Order of the Thistle (KT), 2000 Knight Grand Cross of the Order of St Michael and St George (GCMG), 1991 New Year Honours Honorary Fellowship of Keble
David Wilson, Baron Wilson of Tillyorn
David_Wilson,_Baron_Wilson_of_Tillyorn
Physical theory with fields invariant under the action of local "gauge" Lie groups
theory. In the 1970s, Michael Atiyah began studying the mathematics of solutions to the classical Yang–Mills equations. In 1983, Atiyah's student Simon Donaldson
Gauge_theory
Concept in string theory
or at least locally toric. Then one can use the Atiyah–Bott fixed-point theorem, of Michael Atiyah and Raoul Bott, to reduce, or localize, the computation
Gromov–Witten_invariant
Branch of mathematics
approach include the Grothendieck–Riemann–Roch theorem, Bott periodicity, the Atiyah–Singer index theorem, and the Adams operations. In high energy physics,
K-theory
Vector bundle existing over a Grassmannian
the two generators of the Picard group of the projective space. In Michael Atiyah's "K-theory", the tautological line bundle over a complex projective
Tautological_bundle
Lebanese-British biologist, recipient of 1960 Nobel Prize in Medicine. Michael Atiyah, Lebanese-British leading mathematician of the 20 century. Recipient
List of modern Arab scientists and engineers
List_of_modern_Arab_scientists_and_engineers
ornithologist George Michael Wickens (1918–2006), linguist and humanities scholar Francis Willughby (1635–1672), naturalist Sir Michael Atiyah (1929–2019), mathematician
List of alumni of Trinity College, Cambridge
List_of_alumni_of_Trinity_College,_Cambridge
Swedish mathematician (1931–2012)
Hörmander, Lars. Autobiography. Fields Medallists' Lectures. M. Sir Michael Atiyah & D. Iagolnitzer (editors). World Scientific. ISBN 981-238-259-3 J.
Lars_Hörmander
International research institute
study groups and commissioned modelling for government. 1991–1996 Sir Michael Atiyah OM FRS 1996–2001 Keith Moffatt FRS 2001–2006 Sir John Kingman FRS 2006–2011
Isaac_Newton_Institute
Scottish mathematician and educator (1930 to 2011)
Porteous wrote his thesis Algebraic Geometry under W.V.D. Hodge and Michael Atiyah at University of Cambridge in 1961. Porteous began teaching at the University
Ian_R._Porteous
Mathematics inspired by physics
American Mathematical Society 30: 178-207, 1994, arXiv:math/9307227 Michael Atiyah et al., "Responses to Theoretical Mathematics: Toward a cultural synthesis
Physical_mathematics
General concept and operation in mathematics
assigns to each arrow f: V → W its dual f∗: W∗ → V∗. In the words of Michael Atiyah, Duality in mathematics is not a theorem, but a "principle". The following
Duality_(mathematics)
Princeton University Press, Princeton, NJ, 1990. ISBN 0-691-08563-3 Michael Atiyah, New invariants of 3- and 4-dimensional manifolds. The mathematical
Casson_invariant
From a homotopy group of a special orthogonal group to a homotopy group of spheres
r ( SO ) {\displaystyle \pi _{r}(\operatorname {SO} )} is trivial. Michael Atiyah (1961) introduced the group J(X) of a space X, which for X a sphere
J-homomorphism
Annual mathematical conference in Bonn, Germany
Armand Borel, Shiing-Shen Chern, Kunihiko Kodaira, Donald Spencer, Michael Atiyah, Isadore Singer, Shreeram Shankar Abhyankar, Michel Kervaire, Marcel
Mathematische_Arbeitstagung
Medal awarded by the Royal Society
February 2022. Retrieved 9 February 2022. Atiyah, Michael (1993). "Address of the President, Sir Michael Atiyah, O.M., Given at the Anniversary Meeting
Darwin_Medal
This is a list of Honorary Fellows of New College, Oxford. Sir Michael Atiyah Nicolas Barker Katharine Birbalsingh James Bowman Peter Brown Shona Brown
List of honorary fellows of New College, Oxford
List_of_honorary_fellows_of_New_College,_Oxford
English physiologist and biophysicist (1917–2012)
Jocelyn "Richenda" Gammell (née Pease), the daughter of the geneticist Michael Pease (a son of Edward R. Pease) and his wife Helen Bowen Wedgwood, eldest
Andrew_Huxley
American mathematician (1940–2011)
Advanced Study in Princeton, where he came under the influence of Sir Michael Atiyah. In 1978, Quillen received a Fields Medal at the International Congress
Daniel_Quillen
Mathematical theory
Cohomology by Michael Atiyah and Graeme Segal Twisted K-theory and the K-theory of Bundle Gerbes by Peter Bouwknegt, Alan Carey, Varghese Mathai, Michael Murray
Twisted_K-theory
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