Biography:Yuri Manin
Yuri Manin | |
|---|---|
.jpeg) Manin in 2006 | |
| Born | Yuri Ivanovich Manin 16 February 1937 Simferopol, Crimean ASSR, Russian SFSR, Soviet Union |
| Died | 7 January 2023 (aged 85) |
| Nationality | Russian |
| Alma mater |
|
| Known for | Manin conjecture Manin matrix Manin obstruction Manin triple Manin–Drinfeld theorem Manin–Mumford conjecture ADHM construction Gauss–Manin connection Cartier–Manin operator CH-quasigroup Modular symbol Quantum simulator |
| Awards |
|
| Scientific career | |
| Fields | Mathematics |
| Institutions |
|
| Doctoral advisor | Igor Shafarevich |
| Doctoral students |
|
Yuri Ivanovich Manin (Russian: Ю́рий Ива́нович Ма́нин; 16 February 1937 – 7 January 2023) was a Russian mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics.
Life and career
Manin was born on 16 February 1937 in Simferopol, Crimean ASSR, Soviet Union.[2]
He received a doctorate in 1960 at the Steklov Mathematics Institute as a student of Igor Shafarevich. He became a professor at the Max-Planck-Institut für Mathematik in Bonn, where he was director from 1992 to 2005 and then director emeritus.[3][2] He was also a professor emeritus at Northwestern University.[4]
He had over the years more than 40 doctoral students, including Vladimir Berkovich, Mariusz Wodzicki, Alexander Beilinson, Ivan Cherednik, Alexei Skorobogatov, Vladimir Drinfeld, Mikhail Kapranov, Vyacheslav Shokurov, Ralph Kaufmann, Arend Bayer, Victor Kolyvagin and Hà Huy Khoái.[5]
Manin died on 7 January 2023.[2]
Research
Manin's early work included papers on the arithmetic and formal groups of abelian varieties, the Mordell conjecture in the function field case, and algebraic differential equations. The Gauss–Manin connection is a basic ingredient of the study of cohomology in families of algebraic varieties.[6][7]
He developed the Manin obstruction, indicating the role of the Brauer group in accounting for obstructions to the Hasse principle via Grothendieck's theory of global Azumaya algebras, setting off a generation of further work.[8][9]
Manin pioneered the field of arithmetic topology (along with John Tate, David Mumford, Michael Artin, and Barry Mazur).[10] He also formulated the Manin conjecture, which predicts the asymptotic behaviour of the number of rational points of bounded height on algebraic varieties.[11]
In mathematical physics, Manin wrote on Yang–Mills theory, quantum information, and mirror symmetry.[12][13] He was one of the first to propose the idea of a quantum computer in 1980 with his book Computable and Uncomputable.[14]
He wrote a book on cubic surfaces and cubic forms, showing how to apply both classical and contemporary methods of algebraic geometry, as well as nonassociative algebra.[15]
Awards
He was awarded the Brouwer Medal in 1987, the first Nemmers Prize in Mathematics in 1994, the Schock Prize of the Royal Swedish Academy of Sciences in 1999, the Cantor Medal of the German Mathematical Society in 2002, the King Faisal International Prize in 2002, and the Bolyai Prize of the Hungarian Academy of Sciences in 2010.[2]
In 1990, he became a foreign member of the Royal Netherlands Academy of Arts and Sciences.[16] He was a member of eight other academies of science and was also an honorary member of the London Mathematical Society.[2]
Selected works
- Mathematics as metaphor – selected essays. American Mathematical Society. 2009. https://bookstore.ams.org/cworks-20/.
- Rational points of algebraic curves over function fields. http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=im&paperid=3174&option_lang=eng.
- Manin, Yu I. (1965). "Algebraic topology of algebraic varieties". Russian Mathematical Surveys 20 (6): 183–192. doi:10.1070/RM1965v020n06ABEH001192. Bibcode: 1965RuMaS..20..183M. https://iopscience.iop.org/article/10.1070/RM1965v020n06ABEH001192.
- Frobenius manifolds, quantum cohomology, and moduli spaces. American Mathematical Society. 1999. https://bookstore.ams.org/coll-47.[17]
- Quantum groups and non commutative geometry. Montreal: Centre de Recherches Mathématiques. 1988. https://www.springer.com/gp/book/9783319979861.
- Topics in non-commutative geometry. Princeton University Press. 1991. ISBN 9780691635781. https://press.princeton.edu/books/hardcover/9780691635781/topics-in-non-commutative-geometry.[18]
- Gauge field theory and complex geometry. Grundlehren der mathematischen Wissenschaften. Springer. 1988. https://www.springer.com/gp/book/9783540613787.[19]
- Cubic forms - algebra, geometry, arithmetics. North Holland. 1986. https://www.sciencedirect.com/bookseries/north-holland-mathematical-library/vol/4.
- A course in mathematical logic. Springer. 1977. https://www.springer.com/gp/book/9781475743852.,[20] second expanded edition with new chapters by the author and Boris Zilber, Springer 2010.
- Computable and Uncomputable. Moscow. 1980.[14]
- Mathematics and physics. Birkhäuser. 1981. https://www.springer.com/gp/book/9781489967848.
- Manin, Yu. I. (1984). "New dimensions in geometry". Arbeitstagung. Lectures Notes in Mathematics. 1111. Bonn: Springer. pp. 59–101. doi:10.1007/BFb0084585. ISBN 978-3-540-15195-1. https://link.springer.com/chapter/10.1007%2FBFb0084585.
- Manin, Yuri; Kostrikin, Alexei I. (1989). Linear algebra and geometry. London, England: Gordon and Breach. doi:10.1201/9781466593480. ISBN 9780429073816.
- Manin, Yuri; Gelfand, Sergei (1994). Homological algebra. Encyclopedia of Mathematical Sciences. Springer. https://www.springer.com/gp/book/9783540533733.
- Manin, Yuri; Gelfand, Sergei Gelfand (1996). Methods of Homological algebra. Springer Monographs in Mathematics. Springer. doi:10.1007/978-3-662-12492-5. ISBN 978-3-642-07813-2. https://link.springer.com/book/10.1007/978-3-662-12492-5.
- Manin, Yuri; Kobzarev, Igor (1989). Elementary Particles: mathematics, physics and philosophy. Dordrecht: Kluwer. https://www.springer.com/gp/book/9780792300984.
- Manin, Yuri; Panchishkin, Alexei A. (1995). Introduction to Number theory. Springer. https://www.springer.com/gp/book/9783540203643.
- Manin, Yuri I. (2001). "Moduli, Motives, Mirrors". European Congress of Mathematics. Progress in Mathematics. Barcelona. pp. 53–73. doi:10.1007/978-3-0348-8268-2_4. ISBN 978-3-0348-9497-5. https://link.springer.com/chapter/10.1007/978-3-0348-8268-2_4.
- Classical computing, quantum computing and Shor´s factoring algorithm. Bourbaki Seminar. 1999. http://www.numdam.org/article/SB_1998-1999__41__375_0.pdf.
- Rademacher, Hans; Toeplitz, Otto (2002). Von Zahlen und Figuren. doi:10.1007/978-3-662-36239-6. ISBN 978-3-662-35411-7. https://link.springer.com/book/10.1007/978-3-662-36239-6.
- Manin, Yuri; Marcolli, Matilde (2002). "Holography principle and arithmetic of algebraic curves". Advances in Theoretical and Mathematical Physics (Max-Planck-Institut für Mathematik, Bonn: International Press) 5 (3): 617–650. doi:10.4310/ATMP.2001.v5.n3.a6. http://xxx.uni-augsburg.de/abs/hep-th/0201036.
- Manin, Yu. I. (December 1991). "Three-dimensional hyperbolic geometry as ∞-adic Arakelov geometry". Inventiones Mathematicae 104 (1): 223–243. doi:10.1007/BF01245074. Bibcode: 1991InMat.104..223M. https://link.springer.com/article/10.1007/BF01245074.
- Mathematik, Kunst und Zivilisation. Die weltweit besten mathematischen Artikel im 21. Jahrhundert. 3. e-enterprise. 2014. ISBN 978-3-945059-15-9. https://www.e-enterprise.de/Mathematik-Programm/Mathematik-Kunst-und-Zivilisation.html?language=de.
See also
References
- ↑ "Memorial Article for Yuri Manin". Notices of the American Mathematical Society 70 (11): 1831–1849. December 2023. doi:10.1090/noti2814. https://www.ams.org/journals/notices/202010/rnoti-p1573.pdf.
- ↑ 2.0 2.1 2.2 2.3 2.4 "Max Planck Institute for Mathematics in Bonn Mourns Death of Yuri Manin". 8 January 2023. https://www.mpim-bonn.mpg.de/node/11864.
- ↑ "Yuri Manin | Max Planck Institute for Mathematics" (in en). https://www.mpim-bonn.mpg.de/node/99.
- ↑ "Emeriti Faculty: Department of Mathematics – Northwestern University" (in en). https://www.math.northwestern.edu/people/emeriti/.
- ↑ Yuri Manin at the Mathematics Genealogy Project
- ↑ Manin, Ju. I. (1958), "Algebraic curves over fields with differentiation" (in Russian), Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 22: 737–756, http://mi.mathnet.ru/eng/izv/v22/i6/p737 English translation in Manin, Ju. I. (1964), "Algebraic curves over fields with differentiation", American Mathematical Society translations: 22 papers on algebra, number theory and differential geometry, 37, Providence, R.I.: American Mathematical Society, pp. 59–78, ISBN 978-0-8218-1737-7, https://books.google.com/books?id=fZ7ms3db_cMC
- ↑ Hazewinkel, Michiel, ed. (2001), "Gauss-Manin connection", Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4, https://www.encyclopediaofmath.org/index.php?title=Main_Page
- ↑ Serge Lang (1997). Survey of Diophantine geometry. Springer-Verlag. pp. 250–258. ISBN 3-540-61223-8.
- ↑ Alexei N. Skorobogatov (1999). Appendix A by S. Siksek: 4-descent. "Beyond the Manin obstruction". Inventiones Mathematicae 135 (2): 399–424. doi:10.1007/s002220050291. Bibcode: 1999InMat.135..399S.
- ↑ Morishita, Masanori (2012). "Introduction". Knots and Primes. Universitext. London: Springer. pp. 1–7. doi:10.1007/978-1-4471-2158-9_1. ISBN 978-1-4471-2157-2.
- ↑ "Rational points of bounded height on Fano varieties". Inventiones Mathematicae 95 (2): 421–435. 1989. doi:10.1007/bf01393904. Bibcode: 1989InMat..95..421F.
- ↑ Atiyah, Michael; Drinfeld, Vladimir; Hitchin, Nigel; Manin, Yuri (1978). "Construction of instantons". Physics Letters A 65 (3): 185–187. doi:10.1016/0375-9601(78)90141-X. Bibcode: 1978PhLA...65..185A.
- ↑ Devchand, Chandrashekar; Ogievetsky, Victor I. (1996). "Integrability of N=3 super Yang-Mills equations". Topics in statistical and theoretical physics. Amer. Math. Soc. Transl. Ser. 2. 177. Providence, RI: American Mathematical Society. pp. 51–58.
- ↑ 14.0 14.1 Manin, Yu. I. (1980) (in ru). Vychislimoe i nevychislimoe. Sov.Radio. pp. 13–15. http://publ.lib.ru/ARCHIVES/M/MANIN_Yuriy_Ivanovich/_Manin_Yu.I..zip. Retrieved 4 March 2013.
- ↑ Manin: Cubic forms – algebra, geometry, arithmetics, North Holland 1986
- ↑ "Y.I. Manin". Royal Netherlands Academy of Arts and Sciences. https://www.knaw.nl/en/members/foreign-members/4514.
- ↑ Getzler, Ezra (2001). "Review: Frobenius manifolds, quantum cohomology, and moduli spaces by Yuri I. Manin". Bull. Amer. Math. Soc. (N.S.) 38 (1): 101–108. doi:10.1090/S0273-0979-00-00888-0.
- ↑ Penkov, Ivan (1993). "Review: Topics in non-commutative geometry by Yuri I. Manin". Bull. Amer. Math. Soc. (N.S.) 29 (1): 106–111. doi:10.1090/S0273-0979-1993-00391-4.
- ↑ LeBrun, Claude (1989). "Review: Gauge field theory and complex geometry by Yuri I. Manin; trans. by N. Koblitz and J. R. King". Bull. Amer. Math. Soc. (N.S.) 21 (1): 192–196. doi:10.1090/S0273-0979-1989-15816-3.
- ↑ Shoenfield, J. R. (1979). "Review: A course in mathematical logic by Yu. I Manin". Bull. Amer. Math. Soc. (N.S.) 1 (3): 539–541. doi:10.1090/s0273-0979-1979-14613-5. http://www.ams.org/journals/bull/1979-01-03/S0273-0979-1979-14613-5/S0273-0979-1979-14613-5.pdf.
Further reading
- Némethi, A. (April 2011). "Yuri Ivanovich Manin". Acta Mathematica Hungarica 133 (1–2): 1–13. doi:10.1007/s10474-011-0151-x. https://www.renyi.hu/~nemethi/nemethi1175.pdf.
- Jean-Paul Pier (1 January 2000). Development of Mathematics 1950–2000. Springer Science & Business Media. pp. 1116. ISBN 978-3-7643-6280-5. https://books.google.com/books?id=rB7BjYsD2j4C&pg=PA1116.
External links
- Manin's page at Max-Planck-Institut für Mathematik website
- Good Proofs are Proofs that Make us Wiser, interview by Martin Aigner and Vasco A. Schmidt
- Biography
- Interviewed by David Eisenbud for Simons Foundation "Science Lives"
- "Memorial Article for Yuri Manin". Notices of the American Mathematical Society 70 (11): 1831–1849. December 2023. doi:10.1090/noti2814. https://www.ams.org/journals/notices/202010/rnoti-p1573.pdf.
 |  |
