61. Silke Slembek At MSRI - On The Arithmetization Of Algebraic On the arithmetization of algebraic geometry The case of oscar zariski. On the arithmetization of algebraic geometry The case of oscar zariski http://www.msri.org/publications/ln/msri/2003/histofalg/slembek/1/

62. TOPCOM, Letter To The Editor, John Isbell This has been hidden because it was oscar zariski who introduced Krull dimensioninto topology, and for his algebraic geometric purposes an over-simplified http://at.yorku.ca/t/o/p/c/53.htm

Topology Atlas Document # topc-53.htm Letter to the Editor Letter to the Editor from Volume 3, #1 , of TopCom Dear Editor, There is an important result in dimension theory that seems to be little known outside Spain: Krull dimension, if properly defined, in the same style as ind or dim , works very well for reasonable spaces. For instance, it agrees with ind and (therefore) with dim for separable metric spaces. This has been hidden because it was Oscar Zariski who introduced Krull dimension into topology, and for his algebraic- geometric purposes an over-simplified version of the definition works. The Zariski-Krull dimension is for all Hausdorff spaces. I got the Vinokurov reference from the paper of Petra Wiederhold and Richard G. Wilson in Ann. N. Y. Acad. Sci. 806 (1996) 444-453. They do not really use VGV (in their digital topology). I do not know of anyone who has used it. Vinokurov has been rather productive, but in probability theory. John Isbell SUNY at Buffalo Topology Atlas

63. Mathematics Department History oscar zariski, 19611969; Lynn Harold Loomis, 1969-1983; Phillip Augustus Griffiths,1983-1984; Wilfried Schmid, 1984-. Walter Beverly Pearson Professorship http://www.math.harvard.edu/history/namedchairs/

Named Chairs Mathematics Department William Elwood Byerly Professorship in Mathematics, 1975 Named after William Elwood Byerly 1849-1935 Heisuke Hironaka, 1975- Yum Tong Siu Landon T. Clay Professorship of Mathematics and Theoretical Science, 1969 named after Landon Thomas Clay, 1926- George Whitelaw Mackey, 1969-1985 Arthur Michael Jaffe, 1985- William Caspar Graustein professorship of Mathematics, 1964 named after William Caspar Graustein, 1988-1969 Lars Valerian Ahlfors, 1964-1977 Raoul Bott, 1976 - Shing-Tung Yau Perskins Professorship of Mathematics named after James Perkins 1761-1822 Benjamin Peirce 1842-1880 James Mills Peirce 1885-1906 William Osgood Byerly, 1906-1913 William Fogg Osgood, 1914-1933 George David Birkhoff, 1933-1944 Joseph Leonard Walsh, 1946-1966 Richard Dagobert Brauer, 1966-1971 John Torrence Tate, Jr, 1971-1991 William Petschek Professorship of Mathematics, 1982 named after William Pertschek (1896-1980) Barry Charles Mazur, 1982- Clifford Taubes George Putnam Professorship of Mathematics, 1969 named after George Putnam, (1889-1960) Garrett Birkhoff , 1969-1981

64. Acquisitions Récentes zariski, oscar Collected Papers. Volume II Holomorphic Functions and LinearSystems; Euclide Vitrac, Bernard. (Ed.) Les Eléments. http://www.desargues.univ-lyon1.fr/acq.03.2004.html

Acquisitions de Mars 2004 (Lien vers celles de Février 2004 LEMMERMEYER, Franz Reciprocity Laws.From Euler to Eisenstein CANNAS da SILVA, Ana Lectures on Symplectic Geometry VERSHIK, Anatoly (editor) Asymptotic Combinatorics with Applications to Mathematical Physics KOELINK, Erik ; van ASSCHE, Walter (editors) Orthogonal Polynomials and Special Functions EULERI, Leonhardi Opera Omnia. Series Secunda: Opera Mechanica et Astronomica. Volume Decimum EULERI, Leonhardi Opera Omnia. Series Secunda: Opera Mechanica. Volume Nonum EULERI, Leonhardi Opera Omnia. Series Secunda: Opera Mechanica. Volume Octavum MacMAHON, Percy Alexander Collected Papers. Volume 1 : Combinatorics ZARISKI, Oscar Collected Papers. Volume II : Holomorphic Functions and Linear Systems Euclide Vitrac, Bernard. (Ed.) Les Eléments. Traduits du texte de Heiberg. Volume III Livres X : Grandeurs commensurables et incommensurables. Classification des lignes irrationnelles Euclide Vitrac, Bernard. (Ed.) Les Eléments. Traduits du texte de Heiberg. Volume IV Livres XI-XIII : Géométrie des solides DUGAC, Pierre

65. Math Videos In The Media Resources Center At The University Of California, Berke David Mumford oscar zariski and his work AMS 1988? VIDEO/C.1706 40. Ivan NivenProblems for all seasons MAA 1991 VIDEO/C 2287 41. http://www.lib.berkeley.edu/math/mathvide.html

MATHEMATICS VIDEOS These mathematics video tapes were purchased with Astronomy-Mathematics-Statistics Library funds, and are available for viewing in the Media Resources Center in Moffitt Library. "Materials in the MRC collection may be used on-site in the Center only (they may not be checked out for home use). Current UCB faculty may make arrangements to borrow materials for short-term use in the classroom or in connection with other programs." Go to the Mathematics Statistics Library Home Page Document maintained on server: http://www.lib.berkeley.edu/ by: Mathematics Statistics Library Last updated 2/6/02. Server manager: Contact

66. F. Jessie MacWilliams went to Johns Hopkins University, where she studied with oscar zariski.In 1940, she followed zariski to Harvard University to study there for a year. http://www.math.unl.edu/~awm/awm_folder/NoetherBrochure/MacWilliams80.html

F. Jessie MacWilliams A Survey of Coding Theory San Antonio, Texas 1980 FLORENCE JESSIE COLLINSON MACWILLIAMS was born in 1917 in Stoke-on-Trent, England. She received her BA in 1938 and her MA the following year, both from Cambridge University. In 1939, she received a traveling scholarship from Cambridge and went to Johns Hopkins University, where she studied with Oscar Zariski. In 1940, she followed Zariski to Harvard University to study there for a year. She married in 1941 and left her mathematical work for some years to raise her three children, one daughter and two sons. In 1958, MacWilliams went to work as a computer programmer at Bell Telephone Laboratories in Murray Hill, New Jersey, where her husband; Walter Macwilliams, had been hired as an engineer after the war. She became interested in coding theory when R. C. Bose came to Bell Labs and gave a talk on the subject. MacWilliams wanted to become a member of the Bell Labs technical staff, a position requiring a PhD, so in 1961, she returned to Harvard for a year and obtained a PhD, studying codingtheory with Andrew Gleason. (Her daughter Ann, who also has a PhD in mathematics, was studying at Harvard at the same time.) According to an obituary which was written by Vera Pless of the University of Illinois at Chicago and which appeared in SIAM News in November 1990, MacWilliams' PhD thesis, "Combinatorial Problems of Elementary Group Theory", contains "one of the most powerful theorems in coding theory." "The MacWilliams equations relate the weight distribution of a linear code to the weight distribution of its dual code," writes Pless. "When the code equals its dual, it is called self-dual, and these equations tell much about the weight distribution of self-dual codes. The MacWilliams equations are widely used by coding theorists, both to obtajn new theoretical information about error-correcting codes and to determine the weight distributions of specific codes." The MacWilliams equations also led to important results in the area of combinatorial designs.

67. Basic Library List-Algebra Local Rings New York, NY Interscience, 1962. *** zariski, oscar and Samuel, Pierre.Commutative Algebra, New York, NY SpringerVerlag, 1975, 1976. 2 Vols. http://www.maa.org/BLL/algebra.htm

ALGEBRA Back to Table of Contents Algebra: Introductory Surveys Allenby, R.B.J.T. Rings, Fields and Groups: An Introduction to Abstract Algebra New York, NY: Edward Arnold, 1983. ** Artin, Michael. Algebra Englewood Cliffs, NJ: Prentice Hall, 1991. Bhattacharya, P.B.; Jain, S.K.; and Nagpaul, S.R. Basic Abstract Algebra New York, NY: Cambridge University Press, 1986. *** Birkhoff, Garrett and Mac Lane, Saunders. A Survey of Modern Algebra, New York, NY: Macmillan, 1965, 1977. Fourth Edition. Burnside, William Snow and Panton, Arthur William. The Theory of Equations with an Introduction to the Theory of Binary Algebraic Forms, Mineola, NY: Dover, 1960. 2 Vols. Burton, D. Abstract Algebra Dubuque, IA: William C. Brown, 1988. * Childs, Lindsay. A Concrete Introduction to Higher Algebra New York, NY: Springer-Verlag, 1979. Dean, Richard A. Classical Abstract Algebra New York, NY: Harper and Row, 1990. * Fraleigh, John B. A First Course in Abstract Algebra, Reading, MA: Addison-Wesley, 1976, 1989. Fourth Edition. ** Gallian, Joseph A.

68. American Scientist Online - David Mumford there was no one book It was really my professors lectures that brought thissubject alive, especially those of George Mackey and oscar zariski. http://www.americanscientist.org/template/AssetDetail/assetid/45261

Home Current Issue Archives Bookshelf ... Subscribe In This Section Reviewed in This Issue Book Reviews by Issue New Books Received Publishers' Directory ... Virtual Bookshelf Archive Site Search Advanced Search Visitor Login Username Password Help with login Forgot your password? Change your username Scientists' Nightstand Other Nightstands Keith Devlin Sean Carroll More Nightstands ... The Bookshelf talks with David Mumford Mathematician David Mumford is known for his work in algebraic geometry and vision and pattern theory. A winner of the Fields Medal in 1974, he is currently a professor in the Division of Applied Mathematics at Brown University. His books include Indra's Pearls: The Vision of Felix Klein (Cambridge University Press, 2002). Could you tell us a bit about yourself? click for full image and caption I'm a mathematician who has worked in both pure and applied math. These are very different: In pure math, the only thing that counts is proving theorems, which is to say unraveling the abstract structures of algebra, geometry and analysis. This is building castles in the sky. On the other hand, in applied math, you seek models for things going on in the real world, models which simplify reality but nonetheless capture the essence of some real system. The pure and applied sides complement each other, and I've spent roughly half my career on each. In applications, I have worked especially on visual perception and the neurophysiology of vision.

69. Bibliography zariski, oscar, 18991986, Collected papers / edited by H. Hironaka and D. Mumford,Cambridge, Mass, MIT Press, 1972-1979 http://www.library.cornell.edu/math/bibliography/display.cgi?start=Z&

70. Collected Works In Mathematics And Statistics Yule, George Udny, 18711951, Statistical papers of George Udny Yule, 1, HA15.Y85,MSVU. zariski, oscar, 1899-1986, Collected papers, 4, QA 3 Z37, Killam http://www.mathstat.dal.ca/~dilcher/collwks.html

Collected Works in Mathematics and Statistics This is a list of Mathematics and Statistics collected works that can be found at Dalhousie University and at other Halifax universities. The vast majority of these works are located in the Killam Library on the Dalhousie campus. A guide to other locations is given at the end of this list. If a title is owned by both Dalhousie and another university, only the Dalhousie site is listed. For all locations, and for full bibliographic details, see the NOVANET library catalogue This list was compiled, and the collection is being enlarged, with the invaluable help of the Bibliography of Collected Works maintained by the Cornell University Mathematics Library. The thumbnail sketches of mathematicians were taken from the MacTutor History of Mathematics Archive at the University of St. Andrews. For correction, comments, or questions, write to Karl Dilcher ( dilcher@mscs.dal.ca You can scroll through this list, or jump to the beginning of the letter: A B C D ... X-Y-Z A [On to B] [Back to Top] N.H. Abel

71. MSJ Memoirs The notion of zariskidecomposition introduced by oscar zariski is a powerfultool in the study of open surfaces. In the higher dimensional generalization, http://wwwsoc.nii.ac.jp/msj6/memoir/memoirs-e.html

Japanese MSJ Memoirs Mathematical Society of Japan This monograph series is intended to publish lecture notes, graduate textbooks and long research papers* in pure and applied mathematics. Each volume should be an integrated monograph. Proceedings of conferences or collections of independent papers are not accepted. Articles for the series can be submitted to one of the editors in the form of hard copy. When the article is accepted, the author(s) is (are) requested to send a camera-ready manuscript. * limited to contributions by MSJ members List of Publications Vol.14 Author: Noboru Nakayama Title: Zariski-decomposition and Abundance Dr. Noboru Nakayama, the author of this book, studies the birational classification of algebraic varieties and of compact complex manifolds. This book is a collection of his works on the numerical aspects of divisors of algebraic varieties. The notion of Zariski-decomposition introduced by Oscar Zariski is a powerful tool in the study of open surfaces. In the higher dimensional generalization, we encounter interesting phenomena on the numerical aspects of divisors. The author treats the higher dimensional Zariski-decomposition systematically. The abundance conjecture predicts that the numerical Kodaira dimension of a minimal variety coincides with the usual Kodaira dimension. The Kodaira dimension is an invariant of the canonical divisor of a variety. The numerical analogue used to be defined only for nef divisors, but it is now extended to arbitrary divisors in this book. Explained in details are many important results on the numerical Kodaira dimension related to the abundance, to the addition theorem for fiber spaces, and to the deformation invariance.

72. List Of Academy Members Awarded The Wolf Prize 1981 oscar zariski (Harvard University) 1983/4 Shiing S. Chern (University ofCalifornia, Berkeley) and Paul Erdos (AT T Bell Laboratories) http://www.amacad.org/news/wolflist.aspx

Site Map Welcome Guest Home News About Us Projects ... Contact Us List of Academy Members Awarded the Wolf Prize Agriculture 1981 Henry A. Lardy (University of Wisconsin) 1982 Wendell L. Roelofs (Cornell University) 1984/5 Robert H. Burris (University of Wisconsin) 1986 Ernest R. Sears (University of Missouri-Columbia) 1987 Theodore O. Diener (University of Maryland) 1990 Jozef Stefaan Schell (Max Planck Institut) Chemistry 1978 Carl Djerassi (Stanford University) 1979 Herman F. Mark (Polytechnic Institute of New York) 1981 Joseph Chatt (University of Sussex, England) 1982 John C. Polanyi (University of Toronto) and George C. Pimentel (University of California, Berkeley) 1983/4 Herbert S. Gutowsky (University of Illinois at Urbana-Champaign) and Hardem M. McConnell (Stanford University) 1984/5 Rudolph A. Marcus (California Institute of Technology) 1986 Albert Eschenmoser (Swiss Federal Institute of Technology) 1987 Sir David C. Phillips (Oxford University, England)

73. Our Mathematical Ancestors oscar zariski DavidMumford. Thesis Students Jeff Achter, Chia-Fu Yu. Ted Chinburg http://www.math.upenn.edu/100/ancestors.html

Our Mathematical Ancestors (October 1999) Christos Athanasiadis Chebyscheff Markov Tamarkin Nelson Dunford Jacob T. Schwartz Gian-Carlo Rota Richard P. Stanley Jonathan Block Raoul Bott Irene I. Bouw F. Oort Eugenio Calabi Felix Klein Adolph Hurwitz) David Hilbert Erhard Schmidt Salomon Bochner Thesis Students : R. J. Milgram, Carlos Ferraris, Salvador Gigena, Tom Sayin Ho, Jianfang Li, Xiuxiong Chen Luca Capogna J. J. v. Littrow N. Braschman P. L. Chebyshev G. F. Voronoi W. Sierpinski Antoni Zygmund Eugene Fabes Ching-Li Chai Brioschi Cremona Veronese G. Castelnuovo Oscar Zariski David Mumford Thesis Students : Jeff Achter, Chia-Fu Yu Ted Chinburg Josef Stefan Ludwig Boltzmann Gustav Herglotz Emil Artin John T. Tate Thesis Students : Sunghan Bae, Seyong Kim, David Solomon, Tom Schmidt, Tony Costa, Adebisi Agboola, Mike Rogers, George Pappas, Chi-Fong Lau, Seon-In Kwon, Caiqun Xiao, Shubin Hu, Matrias Atria, Darren Glass Christopher Croke E. H. Moore George David Birkhoff M. H. Stone Richard V. Kadison Richard Lashof Thesis Students : Jin-Whan Yim, Jianguo Cao, Tobias Colding, Xiaobo Liu, Scott Pauls

74. Index To Scientists And Engineers Biographical File (Library Of Congress) zariski, oscar BIB. ZENER, CLARENCE P, BIB. ZIMM, BRUNO HASHBROUCK BIB. ZINDER,NORTON D. P, BIB. ZWORYKIN, VK BIB. ZYGMUND, ANTONI P, BIB http://www.loc.gov/rr/scitech/sci-eng-nz.html

Index to the Scientists and Engineers Biographical File About the Scientists and Engineers Biographical File What is the Scientists and Engineers Biographical File? The File contains information on scientists who were prominent in the early 1970s. It consists of folders containing photographs, biographical information and bibliographies of 1200 American and 100 foreign scientists and engineers. How was the collection formed? The collection was formed during the years 1972 - 75, when The Science and Technology Division solicited the materials as gifts from members of the National Academy of Sciences and the National Academy of Engineers. Other scientists included those listed in Who's Who in Science, Engineers of Distinction, winners of the National Medal for Science, and Scientists in Search of Their Consciences. The division asked Nobel Prize recipients in the sciences to submit portraits and a print of their award ceremony. Who should use the The Scientists and Engineers Biographical File? The archive is useful to researchers needing pictorial material for publications, and anyone who needs bibliographical (that is, materials created by or about the scientist) and biographical information on many well known and lesser known scientists and engineers of the mid-twentieth century.

75. IISc Journal The solution in this case was obtained by oscar zariski in 1939 for surfaces A brief life sketch of oscar zariski. A history of the progress made so far http://journal.library.iisc.ernet.in/vol200104/bookreview/bookreview5.html

Journal of the Indian Institute of Science Journal Home Current issues Contents IISc Home Book Review  Resolution of singularities The problem has a long history and is still not completely solved. The cases for which the problem has been solved (with an affirmative answer) include: 1. The case of curves. This is classical. 2. Any variety over a field of characteristic zero. The solution in this case was obtained by Oscar Zariski in 1939 for surfaces and in 1944 for threefolds, and by Heisuke Hironaka in 1964 for varieties of arbitrary dimension.  3. Surfaces and almost all cases of threefolds over a field of positive characteristic. The solutions in these cases were obtained by S. S Abhyankar in 1956 and 1966.  There has been a considerable amount of activity in this area and a large body of related contributions has appeared in print, particularly over the last four decades.  The book under review sets for itself a twofold goal: One, to introduce the nonspecialist mathematician to various aspects of this important problem; two, to collect together several current research articles on the subject dealing with diverse aspects of the problem and stating some open questions.  The book attains the goal reasonably well.

76. Compute completed in 1955 under the direction of oscar zariski. zariski, in the late1940s proved that if you have two surfaces of some type and a map from one http://www.math.missouri.edu/~news/issue4/conjecture.html

Cutkosky Solves Abhyankar Conjecture Dale Cutkosky has given the solution in characteristic zero of the 40-year-old Abhyankar Conjecture concerning the factorization of birational maps. Mathematicians have considered the conjecture one of the most difficult problems in math. Little progress was made toward a solution in 20 years. Shreeram S. Abhyankar is the Marshall Distinguished Professor of Mathematics at Purdue University and recipient of the Chauvenet Prize of the Mathematical Association of America. He posed the Abhyankar Conjecture in 1966 and restated it in his book Algebraic Geometry for Scientists and Engineers, Volume AMS Surveys and Monographs printed in 1990. Critical Points tracked down Abhyankar in London to get his reaction to the solution of his famous conjecture: C.P.: Can you tell our readers, in a non-technical way, what the Abhyankar conjecture is about? Abhyankar: C.P.: What was the status of the conjecture when Dale Cutkosky solved it? Abhyankar: I gave this problem to my various PhD students, and in 1972 one of my students named Shannon showed that exactly in the original form of Zariski, it is not true in dimension 3. I then raised the question that if one cannot do such a precise factorization, a weaker factorization ought to be true. Then a piece of this was done by another of my PhD students, Christensen, around 1979. After that, the problem remained open for many years until Dale worked on it and made this tremendous progress.

77. The Valuation Theory Home Page: Honorary Doctorate Degree For Abhyankar oscar zariski qui ouvert desprobl\`emes pour toute une g\ en\ eration de math\ ematiciens et auquel vous http://math.usask.ca/fvk/Abhy.html

The Valuation Theory Home Page Honorary Doctorate Degree for Shreeram S. Abhyankar On 29 October 1998, Professor Shreeram S. Abhyankar of Purdue University was awarded an Honorary Doctorate Degree (Docteur Honoris Causa) by the University of Angers in France. The Congratulatory Message sent by the Fields Medalist Professor Heisuke Hironaka for that occasion is reproduced below, followed by the Eulogy given by Professor Jean Michel Granger of the University of Angers at the award ceremony. Message from Professor Heisuke Hironaka Dear Ram: Your long and powerful works deserve far more than the honorary doctorate you are receiving. Even so, I am happy to hear the good news. Your originality has been a gold mine for many other algebraic geometers, including myself. Now the mined gold is receiving rays of sunlight, facets after facets. Very best, Hei Hironaka Eulogy by Professor Jean Michel Granger, Angers Back to The Valuation Theory Home Page Last update: February 4, 1999

78. IRMA Strasbourg I argue that in the introduction of arithmetic methods by oscar zariski around1940 we see different patterns of change. Thus, new processes are revealed http://www-irma.u-strasbg.fr/irma/publications/2003/resum2003.shtml

L'Institut L'annuaire Activités DEA, Ecole doctorale Sites miroirs MathScinet Zentralblatt MATH EMIS Intranet Documents administratifs Documents techniques Outils utilisateurs WebMail ... FAQ Et aussi Liens externes English version Page d'accueil Liste des titres : Boris Andreianov,Michael Gutnic,Petra Wittbold : Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: a ``Continuous'' Approach. 202 Ko doubly nonlinear elliptic-parabolic equations, finite volume methods, convergence of approximate solutions, continuous approach Contact : gutnic@math.u-strasbg.fr Nature du texte, text type : Preprint Langue du texte : Anglais SIAM J. Numer. Anal. Christophe Hohlweg : A generalisation of plactic-coplactic equivalences and Kazhdan-Lusztig cells 115 Ko In this article, we propose a generalisation of plactic (Knuth) and coplactic (dual-Knuth) equivalences to finitely generated Coxeter groups. We obtain a decomposition of the left cells by coplactic classes which agrees with two induction properties of the cells. In the case of simply laced Coxeter groups, we give a crochet procedure which is useful to study the structure of plactic and coplactic classes; and to construct bijections between them. Coxeter groups, plactic equivalence, Knuth relation, Kazhdan-Lusztig cells

79. Oscar Zariski Université Montpellier II Translate this page oscar zariski (1899-1986). Cette image et la biographie complète en anglaisrésident sur le site de l’université de St Andrews Écosse http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=2014

80. Hermann, Editeur Des Sciences Et Des Arts Translate this page Hermann Editeurs des sciences et des arts. oscar zariski Le problème des modulespour les branches planes THÉORIE DES SINGULARITÉS http://www.hermann-editeurs.com/article.php3?id_article=239

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