Ik45/wikipedia_dataset_science_en_id huggingface dataset:
Connelly received his Ph.D. from University of Michigan in 1969.
Connelly menerima gelar Ph.D. dari Universitas Michigan pada tahun 1969.
He is currently a professor at Cornell University.
Saat ini, ia adalah seorang profesor di Universitas Cornell.
One such polyhedron is in the National Museum of American History.
Satu polihedron semacam itu ada di Museum Nasional Sejarah Amerika.
In 2012 he became a fellow of the American Mathematical Society.
Pada tahun 2012, ia menjadi salah satu anggota dari American Mathematical Society.
Personal home page Robert Connelly at the Mathematics Genealogy Project Cornell Mathematics Department web page (with a picture) Why Things Don't Fall Down – A Lecture About Tensegrity by Robert Connelly Mathematical Treasures of the Smithsonian Institution – Allyn Jackson, AMS Notices, vol. 46, no. 5 (May 1999), 528–534.
Personal home page Robert Connelly di Mathematics Genealogy Project Cornell Mathematics Department web page (with a picture) Why Things Don't Fall Down – A Lecture About Tensegrity by Robert Connelly Mathematical Treasures of the Smithsonian Institution – Allyn Jackson, AMS Notices, vol. 46, no. 5 (Mei 1999), 528-534.
Shiu-Yuen Cheng (鄭紹遠) is a Hong Kong mathematician.
Shiu-Yuen Cheng (鄭紹遠) adalah seorang matematikawan Hong Kong.
He is currently the Chair Professor of Mathematics at the Hong Kong University of Science and Technology.
Ia kini menjadi Kepala Profesor Matematika di Universitas Sains dan Teknologi Hong Kong.
Cheng received his Ph.D. in 1974, under the supervision of Shiing-Shen Chern, from University of California at Berkeley.
Cheng meraih gelar Ph.D. pada 1974, di bawah bimbingan Shiing-Shen Chern, dari Universitas California di Berkeley.
School of Science, the Hong Kong University of Science and Technology Mathematics Department, the Hong Kong University of Science and Technology
School of Science, the Hong Kong University of Science and Technology Mathematics Department, the Hong Kong University of Science and Technology Templat:Asia-mathematician-stub
She was the first woman to be president of the International Mathematical Union (2011–2014).
Ia merupakan wanita pertama yang menjadi presiden International Mathematical Union (2011–2014).
Ingrid Daubechies at the Mathematics Genealogy Project I. Daubechies, A Different Way to Look at Subband Coding, NJIT Symposium on Multi-Resolution Signal Decomposition Techniques: Wavelets, Subbands and Transforms, April 1990.
Templat:PlanetMath attribution Ingrid Daubechies di Mathematics Genealogy Project I. Daubechies, A Different Way to Look at Subband Coding, NJIT Symposium on Multi-Resolution Signal Decomposition Techniques: Wavelets, Subbands and Transforms, April 1990.
Laura Grace DeMarco is a professor of mathematics at Harvard University, whose research concerns dynamical systems and complex analysis.
Laura Grace DeMarco adalah seorang profesor matematika di Northwestern University yang meneliti sistem dinamikal dan analisis kompleks.
In 1996, he was awarded the title of distinction of Professor of Mathematics.
Pada 1996, ia dianugerahi Title of Distinction of Professor of Mathematics di Universitas Oxford.
This article incorporates text available under the CC BY 4.0 license.
Artikel ini mengandung teks yang berlisensi CC BY 4.0.
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Under the name HairerSoft, he develops Macintosh software.
Dengan nama HairerSoft, ia mengembangkan perangkat lunak Macintosh.
2006–2011 Advanced Research Fellowship, Engineering and Physical Sciences Research Council (EPSRC) 2007 – Editors' Choice Award, Macworld 2008 – Whitehead Prize, London Mathematical Society 2008 – Philip Leverhulme Prize, Leverhulme Trust 2009 – Royal Society Wolfson Research Merit Award 2012 – Leverhulme Research Leadership Award, Leverhulme Trust 2013 – Fermat Prize, Institut de Mathématiques de Toulouse 2014 – Consolidator grant, European Research Council 2014 – Elected Fellow of the Royal Society (FRS) in 2014 2014 – Fröhlich Prize, London Mathematical Society 2014 – Fields Medal 2015 – Fellow of the American Mathematical Society 2015 – Member of the Austrian Academy of Sciences 2015 – Member of the Academy of Sciences Leopoldina 2015 – Member of the Academia Europaea 2016 – Honorary Knight Commander of the Order of the British Empire 2017 – Foreign member of the Polish Academy of Sciences 2019 – Substantive Knight Commander of the Order of the British Empire 2021 – Breakthrough Prize in Mathematics 2022 – King Faisal Prize 2022 – Medal of the Erwin Schrödinger International Institute for Mathematics and Physics 2025 – Sylvester Medal of the Royal Society.
Advanced Research Fellowship, EPSRC (2006–2011) Editors' Choice Award, Macworld (2007) Whitehead Prize, London Mathematical Society (2008) Philip Leverhulme Prize, Leverhulme Trust (2008) Wolfson Research Merit Award, Royal Society (2009) Leverhulme Research Leadership Award, Leverhulme Trust (2012) Fermat Prize, Institut de Mathématiques de Toulouse (2013) Consolidator grant, European Research Council (2014) Fellow of the Royal Society (2014) Fröhlich Prize, London Mathematical Society (2014) Fields Medal (2014) Regius Professor of Mathematics, University of Warwick (2014) Member of the scientiﬁc steering committee of ETHZ-ITS (since 2013) Institut Henri Poincaré, member of scientific steering committee (since 2012) Mathematical Research Institute of Oberwolfach, member of steering committee (since 2013) Editor, Probability Theory and Related Fields Editor, Nonlinear Differential Equations and Applications Editor, Annales Henri Poincaré Ser. B Editor, Electronic Journal of Probability Editor, Stochastic Partial Differential Equations: Analysis and Computations Visiting Professor, Université Paul Sabatier, Toulouse (Desember 2006 dan Februari 2014)
His father is Ernst Hairer, a mathematician at the University of Geneva.
Ayahnya adalah Ernst Hairer, seorang matematikawan di University of Geneva.
He is a professor of mathematics at Princeton University, specializing in complex analysis, who introduced indigenous bundles.
adalah seorang profesor matematika di Universitas Princeton yang mengkhususkan diri dalam analisis kompleks.
Gunning was born in Longmont, Colorado, and attended to high school in his hometown.
Gunning lahir di Longmont, Colorado, dan masuk SMA di kampung halamannya.
In 1947 he was admitted into the University of Colorado, graduating with a bachelor's degree in 1952.
Pada 1947, ia masuk ke Universitas Colorado, lulus dengan gelar sarjana pada tahun 1952.
Among his doctoral students are Sheldon Katz, Henry Laufer, Richard S. Hamilton, Yum-Tong Siu, and Michael Eastwood.
Beberapa murid doktoralnya adalah Sheldon Katz, Henry Laufer, Richard S. Hamilton, Yum-Tong Siu, dan Michael Eastwood.
In 2012 he became a fellow of the American Mathematical Society.
Pada 2012, ia menjadi anggota American Mathematical Society.
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Robin Cope Hartshorne ( HARTS-horn; born March 15, 1938) is an American mathematician who is known for his work in algebraic geometry.
Robin Cope Hartshorne (lahir 15 Maret 1938), adalah seorang matematikawan Amerika Serikat.
Hartshorne is the author of the text Algebraic Geometry.
Hartshorne adalah penulis dari Algebraic Geometry.
Foundations of Projective Geometry, New York: W. A. Benjamin, 1967; Ample Subvarieties of Algebraic Varieties, New York: Springer-Verlag. 1970; Algebraic Geometry, New York: Springer-Verlag, 1977; corrected 6th printing, 1993.
Foundations of Projective Geometry, New York: W. A. Benjamin, 1967; Algebraic Geometry, New York: Springer-Verlag, 1977; corrected 6th printing, 1993.
(lecture notes by R. Hartshorne) Deformation Theory, Springer-Verlag, GTM 257, 2010, ISBN 978-1-4419-1595-5 Hartshorne ellipse Home page at the University of California at Berkeley Hartshorne's Paintings Archived 2018-03-01 at the Wayback Machine
(catatan pengajar oleh R. Hartshorne) Deformation Theory, Springer-Verlag, GTM 257, 2010, ISBN 978-1-4419-1595-5 Elips HartshorneReferensi
He was emeritus distinguished professor of mathematics at Vanderbilt University and the honorary editor in chief of Algebra Universalis.
Ia adalah profesor emeritus matematika di Universitas Vanderbilt dan ketua penyunting kehormatan Algebra Universalis.
He received his PhD in 1946 at UC Berkeley under supervision of Alfred Tarski.
Pada 1946, ia meraih gelar doktor di UC Berkeley di bawah bimbingan Alfred Tarski.
250, Berlin, New York: Springer-Verlag, doi:10.1007/BFb0058648, ISBN 978-3-540-05722-2, MR 0345895 Kirby A. Baker, Bjarni Jónsson's contributions in algebra, Algebra Universalis, September 1994, Volume 31, Issue 3, pp.
Jónsson, Bjarni (1972), Topics in universal algebra, Lecture Notes in Mathematics, vol. 250, Berlin, New York: Springer-Verlag, doi:10.1007/BFb0058648, MR 0345895 Kirby A. Baker, Bjarni Jónsson's contributions in algebra, Algebra Universalis, September 1994, Volume 31, Issue 3, pp.
Donald Ervin Knuth ( kə-NOOTH; born January 10, 1938) is an American computer scientist and mathematician.
Donald Ervin Knuth (lahir 10 Januari 1938) (nama China: 高德纳, pinyin: Gāo Dénà) adalah ilmuwan komputer terkenal dan profesor emeritus di Universitas Stanford.
Kirwan was educated at Oxford High School, and studied maths as an undergraduate at Clare College, Cambridge.
Kirwan dididik di Sekolah Menengah Atas Oxford, dan mempelajari matematika sebagai mahasiswa sarjana di Clare College di Universitas Cambridge .
She took a DPhil degree at Oxford in 1984, with the dissertation title The Cohomology of Quotients in Symplectic and Algebraic Geometry, which was supervised by Michael Atiyah.
Ia mengambil gelar D.Phil di Oxford pada tahun 1984, dengan judul disertasi The Cohomology of Quotients in Symplectic and Algebraic Geometry, yang dibimbing oleh Michael Atiyah .
Kirwan's research interests include moduli spaces in algebraic geometry, geometric invariant theory (GIT), and in the link between GIT and moment maps in symplectic geometry.
Minat penelitian Kirwan meliputi ruang moduli dalam geometri aljabar, teori invarian geometri (GIT), dan hubungan antara GIT dan peta momen dalam geometri simplektik.
Her work endeavours to understand the structure of geometric objects by investigation of their algebraic and topological properties.
Karya-karyanya berupaya untuk memahami struktur objek geometris melalui penyelidikan sifat-sifat aljabar dan topologi mereka.
From 1983 to 1985, she held a junior fellowship at Harvard.
Dari tahun 1983 hingga 1985 ia memegang beasiswa junior di Harvard .
From 1983 to 1986, she held a Fellowship at Magdalen College, Oxford, before becoming a Fellow of Balliol College, Oxford.
Dari tahun 1983 hingga 1986 ia memegang Fellowship di Magdalen College, Oxford, sebelum menjadi Fellow di Balliol College, Oxford .
She is an honorary fellow of Clare College, Cambridge and also at Magdalen College.
Dia adalah anggota kehormatan Clare College, Cambridge dan juga di Magdalen College.
From 2004 to 2006, she was president of the London Mathematical Society, the second-youngest president in the society's history and only the second woman to be president.
Dari tahun 2004 hingga 2006 ia menjabat sebagai presiden London Mathematical Society, presiden termuda kedua dalam sejarah perkumpulan tersebut dan satu-satunya wanita kedua yang menjadi presiden.
In 2005, she received a five-year EPSRC Senior Research Fellowship, to support her research on the moduli spaces of complex algebraic curves.
Pada tahun 2005, ia menerima Beasiswa Riset Senior EPSRC selama lima tahun, untuk mendukung penelitiannya mengenai ruang moduli kurva aljabar kompleks.
In 2017, she was elected Savilian Professor of Geometry, becoming the first woman to hold the post.
Pada tahun 2017, ia terpilih sebagai Profesor Geometri Savilian, menjadi wanita pertama yang memegang jabatan tersebut.
She was the convenor of the 2008–2009 meeting of European Women in Mathematics and deputy convenor of the following meeting in 2010–2011.
Perempuan Eropa dalam Matematika pada tahun 2008–9 dan wakil koordinator pertemuan berikutnya pada tahun 2010–11.
Peter David Lax (1 May 1926 – 16 May 2025) was a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics.
Peter David Lax (1 Mei 1926 – 16 Mei 2025) adalah seorang matematikawan Amerika Serikat kelahiran Hungaria dan penerima Hadiah Abel yang bekerja di bidang matematika murni dan terapan.
Lax made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields.
Lax telah memberikan kontribusi penting pada sistem terpadu, dinamika fluida dan gelombang kejut, fisika solitonik, hukum konservasi hiperbolik, dan komputasi matematika dan ilmiah, di antara bidang-bidang lainnya.
In a 1958 paper Lax stated a conjecture about matrix representations for third order hyperbolic polynomials which remained unproven for over four decades.
Dalam sebuah makalah tahun 1958, Lax menyatakan sebuah dugaan tentang representasi matriks untuk polinomial hiperbolik orde ketiga yang tidak terbukti selama lebih dari empat dekade.
Interest in the "Lax conjecture" grew as mathematicians working in several different areas recognized the importance of its implications in their field, until it was finally proven to be true in 2003.
Minat terhadap "dugaan Lax" tumbuh ketika matematikawan yang bekerja di beberapa bidang berbeda menyadari pentingnya implikasinya di bidang mereka, hingga akhirnya terbukti benar pada tahun 2003.
Undergraduate Texts in Mathematics (2nd ed.).
Undergraduate Texts in Mathematics (Edisi 2nd).
Undergraduate Texts in Mathematics (1st ed.).
Undergraduate Texts in Mathematics (Edisi 1st).
New York, NY: Springer.
Springer New York, NY.
ISBN 978-0-8218-7559-9. Decay of Solutions of Systems of Nonlinear Hyperbolic Conservation Laws, with J. Glimm, American Mathematical Society (1970). —— (4 April 2002).
Complex Proofs of Real Theorems, with Lawrence Zalcman, University Lecture Series, 2012; 90 pp; softcover, Volume: 58, ISBN 978-0-8218-7559-9 Decay of Solutions of Systems of Nonlinear Hyperbolic Conservation Laws, with J. Glimm, American Mathematical Society (1970).
Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves.
Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, Society for Industrial Mathematics (1987).
Berlin, Heidelberg: Springer.
Berlin, New York: Springer-Verlag.
Scattering Theory for Automorphic Functions.
Scattering Theory for Automorphic Functions with R. S. Phillips, Princeton Univ.
ISBN 978-0-387-22925-6. MR 2164867. —— (2005).
ISBN 978-0-387-22925-6. MR 2164867.
2016 Video Interview with Peter Lax by Atomic Heritage Foundation Voices of the Manhattan Project Peter Lax at the Mathematics Genealogy Project O'Connor, John J.; Robertson, Edmund F., "Peter Lax", MacTutor History of Mathematics Archive, University of St Andrews Elements from his contributions to mathematics.
2016 Video Interview with Peter Lax by Atomic Heritage Foundation Voices of the Manhattan Project Peter Lax di Mathematics Genealogy Project John J. O'Connor and Edmund F. Robertson.
He was the president of the International Mathematical Union from 2007 to 2010 and the president of the Hungarian Academy of Sciences from 2014 to 2020.
Ia menjadi presiden International Mathematical Union dari 2007 sampai 2010 dan presiden Akademi Sains Hungaria dari 2014 sampai 2020.
Chikako Mese is an American mathematician known for her work in differential geometry, geometric analysis and the theory of harmonic maps.
Chikako Mese adalah seorang matematikawan Amerika Serikat yang dikenal karena karyanay dalam geometri diferensial, analisis geometri dan teori pemetaan harmonik.
She is a professor of mathematics at Johns Hopkins University.
Ia merupakan profesor matematika di Universitas Johns Hopkins.
Margaret Dusa Waddington was born in London, England, on 18 October 1945 to Edinburgh architect Margaret Justin Blanco White, second wife of biologist Conrad Hal Waddington, her father.
Margaret Dusa Waddington lahir di London, Inggris, pada 18 Oktober 1945 dari pasangan pakar biologi Conrad Hal Waddington dan istri keduanya, arsitek asal Edinburgh Margaret Justin Blanco White.
Her sister is the anthropologist Caroline Humphrey, and she has an elder half-brother C. Jake Waddington by her father's first marriage.
Saudarinya adalah antropolog Caroline Humphrey, dan ia memiliki kakak tiri C. Jake Waddington dari pernikahan pertama ayahnya.
Her mother was the daughter of Amber Reeves, the noted feminist, author and lover of H. G. Wells.
Ibunya adalah putri dari Amber Reeves, feminis terkenal dan kekasih dari H. G. Wells dan pengarang dalam haknya sendiri.
McDuff grew up in Scotland where her father was Professor of Genetics at the University of Edinburgh.
Meskipun lahir di London, McDuff dibesarkan di Skotlandia, dimana ayahnya diangkat menjadi Profesor Genetik di Universitas Edinburgh.
McDuff was educated at St George's School for Girls in Edinburgh and, although the standard was lower than at the corresponding boys' school, The Edinburgh Academy, McDuff had an exceptionally good mathematics teacher.
McDuff dididik di St. George's School for Girls di Edinburgh dan, meskipun memiliki standar yang lebih rendah dari sekolah khusus laki-laki yang berada disebelahnya, The Edinburgh Academy, McDuff memiliki seorang guru matematika yang sangat bagus.
John Forbes Nash Jr. (June 13, 1928 – May 23, 2015), known and published as John Nash, was an American mathematician who made fundamental contributions to game theory, real algebraic geometry, differential geometry, and partial differential equations.
John Forbes Nash, Jr. (13 Juni 1928 – 23 Mei 2015) adalah matematikawan Amerika Serikat yang karya-karyanya di bidang teori permainan, geometri diferensial, dan persamaan diferensial parsial telah membuka jalan bagi ilmuwan untuk mempelajari faktor-faktor yang mengatur kemungkinan dan peristiwa dalam kehidupan sehari-hari.
Nash and fellow game theorists John Harsanyi and Reinhard Selten were awarded the 1994 Nobel Prize in Economics.
Ia juga dianugerahi Hadiah Nobel Ekonomi bersama pakar teori permainan Reinhard Selten dan John Harsanyi pada tahun 1994.
In 2015, Louis Nirenberg and he were awarded the Abel Prize for their contributions to the field of partial differential equations.
Tahun 2015, ia dianugerahi Hadiah Abel (bersama Louis Nirenberg) atas penelitiannya mengenai persamaan diferensial parsial nonlinier.
In 1994, he received the Nobel Memorial Prize in Economic Sciences (along with John Harsanyi and Reinhard Selten) for his game theory work as a Princeton graduate student.
Ia juga dianugerahi Hadiah Nobel Ekonomi bersama pakar teori permainan Reinhard Selten dan John Harsanyi pada tahun 1994.
Sylvia Nasar's biography of Nash, A Beautiful Mind, was published in 1998.
Kisah hidup Nash diangkat dalam buku biografi A Beautiful Mind karya Sylvia Nasar dan film yang diangkat dari buku tersebut.
He later went on to win the National Medal of Science (1967), the Lester R. Ford Award in 1970 and again in 1984, the Leroy P. Steele Prize for "Seminal Contribution to Research" (1982), the Wolf Prize in Mathematics (1989), the Leroy P. Steele Prize for Mathematical Exposition (2004), and the Leroy P. Steele Prize for Lifetime Achievement (2011).
Kemudian ia juga memenangkan National Medal of Science pada tahun 1967, Penghargaan Steele tahun 1982 atas kontribusinya dalam penelitian, Penghargaan Wolf dalam bidang matematika tahun 1989, Penghargaan Steel atas eksposisi matematika tahun 2004 dan Penghargaan Steele atas prestasi seumur hidup tahun 2011.
He holds both Vietnamese and French citizenship.
Dia memiliki kewarganegaraan Prancis dan Vietnam.
As a result, Châu was awarded a Fields Medal in 2010.
Dia memberikan Medali Fields 2010.
In 2010, he received the Fields Medal.
Dia memberikan Medali Fields 2010.
Ami Elizabeth Radunskaya is an American mathematician and musician.
Ami Elizabeth Radunskaya adalah seorang matematikawan dan musisi Amerika.
In 2016 she was elected as the president of the Association for Women in Mathematics (AWM).
Pada tahun 2016, ia terpilih sebagai presiden Association for Women in Mathematics (AWM).
Radunskaya, the daughter of a UC Berkeley economist, began playing the cello as a 9-year-old.
Radunskaya, putri seorang ekonom dari Universitas California, Berkeley, mulai bermain cello sejak usia 9 tahun.
After graduating from high school at the age of 16, she took ten years off from her education to work as cellist and music composer, including seven years as a member of the Oakland Symphony.
Setelah lulus SMA pada usia 16 tahun, ia mengambil jeda 10 tahun dari pendidikannya untuk bekerja sebagai pemain cello dan komposer musik, termasuk tujuh tahun sebagai anggota Oakland Symphony.
One of her cello and radio baton compositions, "A Wild and Reckless Place" (1990), is known for its use of the Bohlen–Pierce scale.
Salah satu komposisi cello dan radio baton-nya, "A Wild and Reckless Place" (1990), dikenal karena menggunakan skala Bohlen–Pierce.
Radunskaya did her undergraduate studies at the University of California, Berkeley, as a single mother.
Radunskaya menempuh pendidikan sarjana di Universitas California, Berkeley, sebagai seorang ibu tunggal.
There, she studied computer science and chemistry before eventually majoring in mathematics.
Di sana, ia belajar ilmu komputer dan kimia sebelum akhirnya mengambil jurusan matematika.
She completed her doctorate in mathematics at Stanford University in 1992, under the supervision of Donald Samuel Ornstein; her dissertation was titled Statistical Properties of Deterministic Bernoulli Flows.
Ia menyelesaikan doktor di bidang matematika di Universitas Stanford pada tahun 1992, di bawah bimbingan Donald Samuel Ornstein, dengan disertasi berjudul Statistical Properties of Deterministic Bernoulli Flows.
After postdoctoral studies at Rice University, as the only woman in the mathematics department there, she joined the Pomona College faculty in 1994.
Setelah menyelesaikan studi postdoctoral di Universitas Rice, sebagai satu-satunya perempuan di departemen matematika di sana, ia bergabung dengan Perguruan Tinggi Pomona sebagai dosen pada tahun 1994.
Radunskaya was the AWM/MAA Falconer Lecturer for 2010, speaking on "Mathematical Challenges in the Treatment of Cancer".
Radunskaya menjadi AWM/MAA Falconer Lecturer tahun 2010, dengan topik "Tantangan Matematika dalam Pengobatan Kanker".
In 2016 she was named as a Fellow of the American Mathematical Society "for contributions to mathematical oncology, immuno-dynamics, and applications of dynamical systems to medicine, and for service to the mathematical community."
Pada 2016, ia terpilih sebagai Fellow di American Mathematical Society "atas kontribusinya dalam matematika onkologi, imunodinamik, dan penerapan sistem dinamis dalam bidang medis, serta pengabdiannya pada komunitas matematika.
He received his B.A. in Mathematics from the University of California, Berkeley, in 1954.
Scott menyelesaikan pendidikan sarjana di bidang matematika di University of California, Berkeley pada tahun 1954.
In 1959, he published a joint paper with Michael O. Rabin, a colleague from Princeton, titled Finite Automata and Their Decision Problem (Scott and Rabin 1959) which introduced the idea of nondeterministic machines to automata theory.
Pada tahun 1959, Scott menulis makalah bersama dengan Michael O. Rabin yang berjudul Finite Automata and Their Decision Problem.
He went on to win the Balzan Prize in 1985, the Steele Prize in 1995, the Wolf Prize in Mathematics in 2000, and was the first recipient of the Abel Prize in 2003.
Atas kontribusinya ini, beberapa penghargaan telah diterima; tahun 1954 menerima Medali Fields, tahun 1985 menerima Penghargaan Balzan, tahun 2000 menerima Penghargaan Wolf dalam bidang matematika dan tahun 2003, menerima Penghargaan Abel.