1. Faltings Gerd Faltings. Born Gerd Faltings studied for his doctorate at the Universityof Münster, being awarded his Ph.D. in 1978. Following http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Faltings.html

Gerd Faltings Born: 28 July 1954 in Gelsenkirchen-Buer, Germany Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Gerd Faltings In 1979 Faltings returned to Germany, taking up an appointment as professor of mathematics at the University of Wuppertal. In 1985 Faltings was appointed to the faculty at Princeton. Faltings proved conjectures by Mordell In 1986 Faltings received the highest honour that a young mathematician can receive when he was awarded a Fields Medal at the International Congress of Mathematicians at Berkeley. At the Congress B Mazur gave an address describing the work by Faltings which had led to the award. He received the medal primarily for his proof of the Mordell Conjecture which he achieved using methods of arithmetic algebraic geometry Faltings has been closely linked with the work leading to the final proof of Fermat's Last Theorem by Andrew Wiles . In 1983 Faltings proved that for every n coprime integers x y z with x n y n z n . This was a major step but a proof that the finite number was in all cases did not seem likely to follow by extending Falting's arguments. However, Faltings was the natural person that

2. Faltings Translate this page faltings gerd, allemand, 1954-. Ce mathématicien allemand, professeuren la célèbre université (privée) américaine de Princeton http://www.sciences-en-ligne.com/momo/chronomath/chrono2/Faltings.html

FALTINGS Gerd, allemand, 1954- conjecture de Mordell Fields Wiles , du Bourgain Zelmanov © Serge MEHL

3. Médailles Fields Translate this page 1986 (Berkeley) faltings gerd, Allemagne preuve de la conjecture de Mordell DONALDSONSimon K., Grande-Bretagne variétés différentiables de dimension 4 http://www.sciences-en-ligne.com/momo/chronomath/anx3/med_fields.html

LES MEDAILLES FIELDS historique du prix 1936 (Oslo) : AHLFORS Lars, Finlande DOUGLAS Jesse, Etats-Unis Plateau 1950 (Harvard) : SCHWARTZ Laurent , France fonctions z de Riemann 1954 (Amsterdam) : KODAIRA Kunihiko , Japon SERRE Jean-Pierre , France 1958 (Edimbourg) : , France ROTH Klaus Friedrich , Grande-Bretagne (nombres transcendants) 1962 (Stockholm) : MILNOR John, Etats-Unis cobordisme 1966 (Moscou) : COHEN Paul Joseph , Etats-Unis SMALE Stephen, Etats-Unis , n GROTHENDIECK Alexander , France ATIYAH Michael Francis, Grande-Bretagne 1970 (Nice) : BAKER Alan , Grande-Bretagne (nombres transcendants) THOMPSON John , Grande-Bretagne HIRONAKA Heisuke, Japon/USA 1974 (Vancouver) : BOMBIERI Enrico, Italie (nombres premiers) MUMFORD David Briant, Etats-Unis 1978 (Helsinki) : DELIGNE Pierre , Belgique FEFFERMAN Charles Louis, Etats-Unis QUILLEN Daniel G., Etats-Unis MARGULIS Gregory A., U.R.S.S. groupes de Lie 1982 (Varsovie) : CONNES Alain , France Von Neumann SHING-TUNG Yau, Etats-Unis

4. Journal Fur Die Reine Und Angewandte Mathematik Vol. 483 (1997) subvarieties of hypersurfaces 61 Chan Claire C. Complete minimal hypersurfaces withprescribed asymptotics at infinity 163 faltings gerd Explicit resolution of http://siba2.unile.it/bib1index/10000614.IDX

Journal fur die reine und angewandte Mathematik Vol. 483 (1997) AUTHOR TITLE PAGE Amerik Ekaterina On codimension-two subvarieties of hypersurfaces 61 Chan Claire C. Complete minimal hypersurfaces with prescribed asymptotics at infinity 163 Faltings Gerd Explicit resolution of local singularities of moduli-spaces 183 Harris Michael L-functions and periods of polarized regular motives 75 Peller V.V., Continuity properties of best analytic N.J. Young approximation 1 Simis Aron, Tangent star cones 23 Bernd Ulrich, Wolmer V. Vasconcelos Tsai I-Hsun Domonating the varieties of general type 197 Ulrich Bernd Sihe Simis Aron Young N.J. Siehe Peller V.V.

5. Books.MusicaBona.Cz Geometry Index Autorù Eom Essen ARP Van Den Euclid Ewald Gunter Ewing JH F Fadell ER Fadell Edward R.Falb Peter Falconer KJ Falconer KJ Falconer Kenneth faltings gerd Feder Jens http://books.musicabona.cz/catalog/Mathematics/Geometry.html?session=

6. Books.MusicaBona.Cz Mathematics Index Autorù Faigle Ulrich Faires Douglas Faires Douglas J. Faires J. Douglas Faith Carl FalbPeter Falconer KJ Falconer KJ Falconer Kenneth Falin GI faltings gerd Fan J http://books.musicabona.cz/catalog/Mathematics/F.html?session=

7. Gerd Faltings --  Encyclopædia Britannica MLA style " gerd faltings." Encyclopædia Britannica. 2004. Encyclopædia Britannica Premium Service APA style gerd faltings. Encyclopædia Britannica. Retrieved April 27, 2004 http://www.britannica.com/eb/article?eu=88413

8. FALTINGS, GERD faltings, gerd Toroidal resolution of some matrix singularities. In Faber, Carel u.a. ( Hg.), Moduli of Abelian varieties, Boston Birkhaeuser, 2001, 157184. http://www.bbaw.de/pbl/faltingsgerd2001.html

BBAW Publikationen Publikationslisten 2001 FALTINGS, GERD FALTINGS, GERD: Toroidal resolution of some matrix singularities. In: Faber, Carel u.a. (Hg.), Moduli of Abelian varieties, Boston: Birkhaeuser, 2001, 157-184.

9. References For Faltings References for gerd faltings. Articles HH Andersen, Why gerd faltingsgot the Fields medal (Danish), Normat 35 (3) (1987), 8997; 128. http://www-gap.dcs.st-and.ac.uk/~history/References/Faltings.html

References for Gerd Faltings Biography in Encyclopaedia Britannica. Articles: H H Andersen, Why Gerd Faltings got the Fields medal (Danish), Normat B Mazur, On some of the mathematical contributions of Gerd Faltings, Proceedings of the International Congress of Mathematicians, Berkeley 1986 (Providence, RI, 1987), 7-12. L D Olson, Mordell-Faltings' theorem (Norwegian), Normat F Oort, In 1983 Faltings proved conjectures by Mordell, Shafarevich and Tate, CWI Newslett. S Saito, The contributions of Gerd Faltings (Japanese), Sugaku Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1998 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Faltings.html

10. MathNet-Fields Medals ?, 1 faltings, gerd Toroidal resolutions for some matrix singularities. 14D258 faltings, gerd The general case of S. Lang s conjecture. http://www.mathnet.or.kr/API/?MIval=people_fields_detail&ln=Gerd Faltings

11. Faltings Biography of gerd faltings (19540BC) gerd faltings. Born 28 July 1954 in Gelsenkirchen-Buer, Germany gerd faltings studied for his doctorate at the University of Münster, being awarded his http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Faltings.html

Gerd Faltings Born: 28 July 1954 in Gelsenkirchen-Buer, Germany Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Gerd Faltings In 1979 Faltings returned to Germany, taking up an appointment as professor of mathematics at the University of Wuppertal. In 1985 Faltings was appointed to the faculty at Princeton. Faltings proved conjectures by Mordell In 1986 Faltings received the highest honour that a young mathematician can receive when he was awarded a Fields Medal at the International Congress of Mathematicians at Berkeley. At the Congress B Mazur gave an address describing the work by Faltings which had led to the award. He received the medal primarily for his proof of the Mordell Conjecture which he achieved using methods of arithmetic algebraic geometry Faltings has been closely linked with the work leading to the final proof of Fermat's Last Theorem by Andrew Wiles . In 1983 Faltings proved that for every n coprime integers x y z with x n y n z n . This was a major step but a proof that the finite number was in all cases did not seem likely to follow by extending Falting's arguments. However, Faltings was the natural person that

12. MathNet-Fields Medals ISBN 08176-3440-1 14K25 (11F27 14K05 22D10) 14 faltings, gerd; Chai, Ching-LiDegeneration of abelian varieties. With an appendix by David Mumford. http://www.mathnet.or.kr/API/?MIval=people_fields_detail&ln=David Bryant Mumford

13. The Trace Formula And Drinfeldâ S Upper Halfplane The trace formula and Drinfeldâ s upper halfplane euclid.dmj/1077286971 Citation Duke Math. J. 76 (1994), no. 2, 467481 faltings, gerd gerd faltings http://rdre1.inktomi.com/click?u=http://ProjectEuclid.org/getRecord?id=euclid.dm

14. Search Results For Conjecture - Encyclopædia Britannica View Article Index Entry. faltings, gerd German mathematician who wasawarded the Fields Medal in 1986 for his work in algebraic geometry. http://www.britannica.com/search?query=conjecture&fuzzy=N&ct=eb&start=8&show=10

15. Archimedes Plutonium Autobiography Wiles's 2nd proof has the great weight of gerd faltings behind it, . ." Prince DeBroglie " ; and this is the solution http://www.archimedesplutonium.com/File1994_11-12.html

AUTOBIO: 1994 Nov+Dec by Archimedes Plutonium this is a return to my website location http://www.archimedesplutonium.com/

16. Bookmarks For Bradley Wayne Brock Items Authored by faltings, gerd. Items Authored by Drinfel\cprime d, V also Serre, Bombieri, Grothendieck, Mumford, Deligne, faltings, and Drinfeld. from above http://www.alumni.caltech.edu/~brock

Bookmarks for Bradley Wayne Brock Personal Toolbar Folder Lookup MathSciNet Search MathSciNet Search MathSciNet Search MathSciNet Search ... MathSciNet Search 20 Favorite Great Mathematicians Items Authored by Serre, Jean-Pierre Items Authored by Chern, Shiing-Shen Items Authored by Manin, Yuri I. Items Authored by Bombieri, Enrico ... Items Authored by Wiles, Andrew Fields Medalists also Serre, Bombieri, Grothendieck, Mumford, Deligne, Faltings, and Drinfeld from above Items Authored by Lions, Pierre-Louis Items Authored by Bourgain, Jean Items Authored by Witten, Edward Items Authored by Atiyah, Michael F. ... Items Authored by Cohen, Paul J. 20 More Mathematicians Items Authored by Lang, Serge Items Authored by Cassels, J. W. S. Items Authored by Griffiths, Phillip Items Authored by Zagier, Don ... Items Authored by Vojta, Paul 40 More Mathematicians Items Authored by Grauert, Hans Items Authored by Artin, Michael Items Authored by Sarnak, Peter Items Authored by Swinnerton-Dyer, Peter ... Items Authored by Granville, Andrew Texel Island 1999 also Faltings, Oort, Katsura, Ogus

17. Papers Talk, MSRI, 4/26/1993. faltings, gerd. Arithmetic RiemannRoch Talk, MSRI, 4/26/1993. faltings, gerd. On Drinfel'd conjecture http://www.math.fsu.edu/~aluffi/compr.html

Filed papers, and notes from talks Preprint, 1984 Abbena, Elsa; Grassi, Antonella Hermitian left invariant metrics on complex Lie groups and cosymplectic Hermitian manifolds Preprint Aberbach, Ian; Huneke, Craig A theorem of Briancon-Skoda type for regular local rings containing a field Ch. 2 in "Geometric Invariance in Computer Vision" Abhyankar, Shreeram Invariant Theory and Enumerative Combinatorics of Young Tableaux Ch. 2 in "Algebraic Geometry and its Applications" Abhyankar, Shreeram Square-root Parametrization of Plane Curves Current Science, 63, 5, 9/1992 Abhyankar, Shreeram Resolution of singularities in various characteristics Discrete Applied Math. 31 (1991) 81-96 Abhyankar, Shreeram; Chandrasekar, Srinivasan; Chandru, Vijaya Intersection of algebraic space curves J. Reine Angew. Math. 276 (1975) 149-166 Abhyankar, Shreeram; Moh Tzuong-tsieng Embeddings of the line in the plane Preprint, 1995 Abkulut, S. Lectures on Seiberg-Witten Invariants Talk, Univ. of Chicago, 5/28/97 Abramovich, Dan Stable reduction for fibred surfaces Lecture notes Abramovich, Dan

18. Faltings, G.: Lectures On The Arithmetic Riemann-Roch Theorem. (AM-127). of the book Lectures on the Arithmetic RiemannRoch Theorem. (AM-127) by faltings, G., published by Princeton University Press AM-127) gerd faltings. Paper 1992 $26.95...... http://www.pupress.princeton.edu/titles/5158.html

PRINCETON University Press SEARCH: Keywords Author Title More Options Power Search Search Hints E-MAIL NOTICES NEW IN PRINT E-BOOKS ... HOME PAGE Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127) Gerd Faltings 118 pp. Shopping Cart Reviews Table of Contents The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory. Review: "This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it." Table of Contents: Introduction List of Symbols Lecture 1 Classical Riemann-Roch Theorem Lecture 2 Chern Classes of Arithmetic Vector Bundles Lecture 3 Laplacians and Heat Kernels Lecture 4 The Local Index Theorem for Dirac Operators Lecture 5 Number Operators and Direct Images Lecture 6 Arithmetic Riemann-Roch Theorem Lecture 7 The Theorem of Bismut-Vasserot References Series: Annals of Mathematics Studies Phillip A. Griffiths, John N. Mather, and Elias M. Stein, Editors

19. Faltings, Gerd Translate this page Prof. Dr. gerd faltings. Max-Planck-Institut für Mathematik. Vivatsgasse7 53111 Bonn. 02 28/40 22 28 02 28/40 22 77 gerd@mpim-bonn http://www.bbaw.de/akademie/mitglieder/faltingsgerd.html

Prof. Dr. Gerd Faltings Vivatsgasse 7 53111 Bonn gerd@mpim-bonn.mpg.de WWW: http://www.mpim-bonn.mpg.de

20. 11G: Arithmetic Algebraic Geometry (Diophantine Geometry) 0387-90837-4. faltings, gerd, "Neuere Entwicklungen in der arithmetischen algebraischen Providence, RI, 1987. faltings, gerd, "Recent progress in Diophantine geometry", Lecture http://www.math.niu.edu/~rusin/papers/known-math/index/11GXX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 11G: Arithmetic algebraic geometry (Diophantine geometry) Introduction This section is the intersection of fields 11 (Number Theory) and 14 (Algebraic Geometry). The typical question in this area asks, "Are there any points on this variety (i.e., whose coordinates satisfy certain polynomial equations) whose coordinates are rational?" For example, the answer is "yes" when the coordinates are to satisfy the equation x^2+y^2=1 but "no" when the coordinates are to satisfy y^2=x^3-5. However, for simplicity we have placed most materials regarding this topic with the corresponding section of 14: Algebraic Geometry Attached below are a few topics on a related theme: what number-theoretic questions can we ask (and answer) regarding geometric figures? History Applications and related fields Material on elliptic curves is collected in see also 11Dxx, 14-XX, 14Gxx, 14Kxx Subfields Elliptic curves over global fields, See also 14H52

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 1     1-20 of 97    1  | 2  | 3  | 4  | 5  | Next 20