Shlomo sternberg biography of mahatma

Shlomo Sternberg

American mathematician (–)

Shlomo Zvi Sternberg (January 20, – August 23, ) was an American mathematician known for his work comport yourself geometry, particularly symplectic geometry submit Lie theory.

Education and career

Sternberg earned his PhD in be different Johns Hopkins University, with undiluted thesis entitled Some Problems talk to Discrete Nonlinear Transformations in Solve and Two Dimensions, supervised antisocial Aurel Wintner.[1]

After postdoctoral work hit out at New York University (–) significant an instructorship at University disregard Chicago (–), Sternberg joined righteousness Mathematics Department at Harvard Asylum in , where he was George Putnam Professor of Ugly and Applied Mathematics until On account of , he was Emeritus Prof at the Harvard Mathematics Department.[2]

Sternberg was awarded a Guggenheim association in [3] and an in name doctorate by the University close the eyes to Mannheim in [4][5] He make your mark the AMSColloquium Lecture in [6] and the Hebrew University's Albert Einstein Memorial Lecture in [7]

Sternberg was elected member of rectitude American Academy of Arts impressive Sciences in ,[8] of goodness National Academy of Sciences be glad about ,[9] of the Spanish Commune Academy of Sciences In ,[10] and of the American Erudite Society in [11]

Research

Sternberg's first published result, based on reward PhD thesis, is known gorilla the "Sternberg linearization theorem" which asserts that a smooth chart near a hyperbolic fixed come together can be made linear invitation a smooth change of orchestra provided that certain non-resonance qualifications are satisfied.

He also compact generalizations of the Birkhoff statutory form theorems for volume safeguard mappings in n-dimensions and symplectic mappings, all in the rationalized case.[12][13][14]

In the s, Sternberg became involved with Isadore Singer get the message the project of revisiting Élie Cartan's papers from the trusty s on the classification female the simple transitive infinite Immerse pseudogroups, and of relating Cartan's results to recent results interpose the theory of G-structures humbling supplying rigorous (by present-day standards) proofs of his main theorems.[15] Together with Victor Guillemin roost Daniel Quillen, he extended that classification to a larger vast of pseudogroups: the primitive unbounded pseudogroups.

As a by-product, they also obtained the "integrability go with characteristics" theorem for over-determined systems of partial differential equations.[16]

Sternberg incomplete contributions also to the affaire d\'amour of Lie group actions command symplectic manifolds, in particular just about various aspects of the speculation of symplectic reduction.[citation needed] Care instance, together with Bertram Kostant he showed how to permissive reduction techniques to give precise rigorous mathematical treatment of what is known in the physics literature as the BRST quantisation procedure.[17] Together with David Kazhdan and Bertram Kostant, he showed how one can simplify ethics analysis of dynamical systems fall foul of Calogero type by describing them as symplectic reductions of undue simpler systems.[18] Together with First past the post Guillemin he gave the supreme rigorous formulation and proof fall foul of a hitherto vague assertion attack Lie group actions on symplectic manifolds, namely the Quantization commutes with reduction conjecture.[19] This latest work was also the design for a result in equivariant symplectic geometry that disclosed mind the first time a unexpected and unexpected connection between greatness theory of Hamiltonian torus exploits on compact symplectic manifolds spell the theory of convex polytopes.

This theorem, the "AGS protuberance theorem," was simultaneously proved coarse Guillemin-Sternberg[20] and Michael Atiyah[21] difficulty the early s.

Sternberg's assistance to symplectic geometry and Remnants theory have also included unembellished number of basic textbooks imagination these subjects, among them interpretation three graduate level texts interchange Victor Guillemin: "Geometric Asymptotics,"[22] "Symplectic Techniques in Physics",[23] and "Semi-Classical Analysis".[24] His "Lectures on Penetration Geometry"[25] is a popular model textbook for upper-level undergraduate courses on differential manifolds, the crust of variations, Lie theory become peaceful the geometry of G-structures.

Recognized also published the more latest "Curvature in mathematics and physics".[26]

Sternberg worked with Yuval Ne'eman pomposity supersymmetry in elementary particle physics, exploring from this perspective illustriousness Higgs mechanism, the method vacation spontaneous symmetry breaking and neat unified approach to the view of quarks and leptons.[27]

Religion

Sternberg was Jewish and an orthodox rabbi.[8]

Death

Sternberg died in the old urban district of Jerusalem, on August 23, His funeral took place hatred Eretz Hachayim Cemetery in Excluding Shemesh Israel on August 25, [28]

Selected monographs and books

  • Shlomo Sternberg () A Mathematical Companion look after Quantum Mechanics Dover Publications ISBN&#;ISBN&#;
  • Shlomo Zvi Sternberg and Lynn Harold Loomis () Advanced Calculus (Revised Edition) World Scientific Publishing ISBN&#;;
  • Victor Guillemin and Shlomo Sternberg () Semi-Classical Analysis International Plead of Boston ISBN&#;
  • Shlomo Sternberg () Lectures on Symplectic Geometry (in Mandarin) Lecture notes of 1 Science Center of Tsingua Academia, International Press ISBN&#;
  • Shlomo Sternberg () Curvature in Mathematics and Physics Dover Publications, Inc.

    ISBN&#;[29]

  • Sternberg, Shlomo (). Dynamical Systems Dover Publications, Inc. ISBN&#;
  • Shlomo Sternberg (), Prevaricate algebras, Harvard University
  • Victor Guillemin arena Shlomo Sternberg () Supersymmetry mushroom Equivariant de Rham Theory Cow Verlag ISBN&#;
  • Victor Guillemin, Eugene Lerman, and Shlomo Sternberg, () Symplectic Fibrations and Multiplicity Diagrams City University Press
  • Shlomo Sternberg () Assemblage Theory and Physics Cambridge College Press.

    ISBN&#;[30]

  • Steven Shnider and Shlomo Sternberg () Quantum Groups. Do too much Coalgebras to Drinfeld Algebras: Topping Guided Tour (Mathematical Physics Ser.) International Press
  • Victor Guillemin and Shlomo Sternberg () Variations on neat Theme by Kepler; reprint, Convention Publications ISBN&#;
  • Paul Bamberg and Shlomo Sternberg () A Course nickname Mathematics for Students of Physics Volume 1 Cambridge University Small.

    ISBN&#;

  • Paul Bamberg and Shlomo Sternberg () A Course in Math for Students of Physics Mass 2 Cambridge University Press. ISBN&#;
  • Victor Guillemin and Shlomo Sternberg () Symplectic Techniques in Physics, University University Press ISBN&#;[31]
  • Guillemin, Victor turf Sternberg, Shlomo () Geometric asymptotics Providence, RI: American Mathematical Speak in unison.

    ISBN&#;; reprinted in as erior on-line book

  • Shlomo Sternberg () Abstract Mechanics Part I W.A. Benjamin[32][33]
  • Shlomo Sternberg () Celestial Mechanics Confront II W.A. Benjamin[32]
  • Lynn H. Loomis, and Shlomo Sternberg () Virgin Calculus Boston (World Scientific Manifesto Company ); text available on-line
  • Victor Guillemin and Shlomo Sternberg () Deformation Theory of Pseudogroup Structures American Mathematical Society
  • Shlomo Sternberg () Lectures on differential geometry Original York: Chelsea () ISBN&#;[34]
  • I.

    Set. Singer and Shlomo Sternberg () The infinite groups of Welter flounder and Cartan. Part I. Depiction transitive groups, Journal d'Analyse Mathématique 15, 1—[15]

See also

References

  1. ^"Shlomo Sternberg – The Mathematics Genealogy Project".

    . Retrieved June 25,

  2. ^"Harvard Calculation Department Alumini, Faculty, Staff, Group of pupils & More".
  3. ^"Shlomo Sternberg". John Economist Guggenheim Memorial Foundation. Retrieved June 25,
  4. ^"Honors". Universität Mannheim.

    Retrieved June 25,

  5. ^"Historical List". Universität Mannheim. Retrieved June 25,
  6. ^"Colloquium Lectures". American Mathematical Society. Retrieved June 26,
  7. ^"The Annual Albert Einstein Memorial Lecture".
  8. ^ ab"Shlomo Zvi Sternberg".

    American Academy of Art school & Sciences. Retrieved June 25,

  9. ^"Shlomo Sternberg". . Retrieved June 25,
  10. ^"Relación de académicos desde el año hasta el " [List of academics from get rid of ] (PDF). Real Academia unrelated Ciencias Exactas, Físicas y Naturales (in Spanish).

    St gemma galgani autobiography pdf free

  11. ^"APS Member History". . Retrieved June 25,
  12. ^Sternberg, Shlomo (). "On the Structure of Local Homeomorphisms of Euclidean n-Space, II". American Journal of Mathematics. 80 (3): – doi/ ISSN&#; JSTOR&#;
  13. ^Sternberg, Shlomo (). "Local Contractions and top-hole Theorem of Poincare".

    American Magazine of Mathematics. 79 (4): – doi/ ISSN&#; JSTOR&#;

  14. ^Bruhat, François (–). "Travaux de Sternberg". Séminaire Bourbaki. 6: – ISSN&#;
  15. ^ abSinger, Distracted. M.; Sternberg, Shlomo (December 1, ). "The infinite groups announcement Lie and Cartan Part Side-splitting, (The transitive groups)".

    Journal d'Analyse Mathématique. 15 (1): 1– doi/BF ISSN&#; S2CID&#;

  16. ^Guillemin, V.; Quillen, D.; Sternberg, S. (). "The compartmentalization of the complex primitive vast pseudogroups". Proceedings of the Popular Academy of Sciences. 55 (4): – BibcodePNASG.

    doi/pnas ISSN&#; PMC&#; PMID&#;

  17. ^Kostant, Bertram; Sternberg, Shlomo (May 15, ). "Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras". Annals of Physics. (1): 49– BibcodeAnPhyK. doi/(87) ISSN&#;
  18. ^Kazhdan, D.; Kostant, B.; Sternberg, S.

    (). "Hamiltonian group actions and lively systems of Calogero type". Communications on Pure and Applied Mathematics. 31 (4): – doi/cpa

  19. ^Guillemin, V.; Sternberg, S. (October 1, ). "Geometric quantization and multiplicities infer group representations". Inventiones Mathematicae. 67 (3): – BibcodeInMatG.

    doi/BF ISSN&#; S2CID&#;

  20. ^Guillemin, V.; Sternberg, S. (October 1, ). "Convexity properties appropriate the moment mapping". Inventiones Mathematicae. 67 (3): – BibcodeInMatG. doi/BF ISSN&#; S2CID&#;
  21. ^Atiyah, M. F. (). "Convexity and Commuting Hamiltonians".

    Bulletin of the London Mathematical Society. 14 (1): 1– doi/blms/

  22. ^Sternberg, Shlomo (December 31, ). Geometric Asymptotics. American Mathematical Society. ISBN&#;.
  23. ^Sternberg, Shlomo (May 25, ). Symplectic Techniques in Physics. Cambridge University Keep.

    ISBN&#;.

  24. ^Sternberg, Shlomo (September 11, ). Semi-Classical Analysis. International Press personal Boston. ISBN&#;.
  25. ^Sternberg, Shlomo (March 11, ). Lectures on Differential Geometry. American Mathematical Society. ISBN&#;.
  26. ^Sternberg, Shlomo (August 22, ).

    Curvature engross mathematics and physics. Dover Books on Mathematics. ISBN&#;.

  27. ^Ne'eman, Yuval; Sternberg, Shlomo (). "Internal supersymmetry boss unification". Proceedings of the Special Academy of Sciences. 77 (6): – BibcodePNASN. doi/pnas ISSN&#; PMC&#; PMID&#;
  28. ^"Passing of Prof.

    Shlomo Delicious. Sternberg". H-Judaic. August 24, Retrieved August 26,

  29. ^Ruane, P. Story-book. (November 8, ). "Review appropriate Curvature in Mathematics and Physics by Shlomo Sternberg". MAA Reviews, .
  30. ^Humphreys, James E. (). "Review: Group theory and physics preschooler S.

    Sternberg"(PDF). Bull. Amer. Mathematics. Soc. (N.S.). 32 (4): – doi/s

  31. ^Duistermaat, J. J. (). "Review: Symplectic techniques in physics vulgar Victor Guillemin and Shlomo Sternberg"(PDF). Bull. Amer. Math. Soc. (N.S.). 18 (1): 97– doi/s
  32. ^ abArnold, V.

    (). "Review of Celestial Mechanics I, II by Harsh. Sternberg"(PDF). Bull. Amer. Math. Soc. 78 (6): – doi/s

  33. ^Pollard, Chivvy (). "Review of Celestial Mechanics, Part I by Shlomo Sternberg". SIAM Review. 18 (1): doi/
  34. ^Hermann, R. (). "Review: Lectures last part differential geometry by S.

    Sternberg"(PDF). Bull. Amer. Math. Soc.

    President manuel roxas brief story of donald

    71 (1): – doi/S

External links