Gerd Faltings의 정보
수상나이 32
출생년도 1954
사망년도
출생지 Gelsenkirchen-Buer(Germany)
현재소속 Princeton University
연구실적 [자세히 보기]
관련출판물 1.H H Andersen, Why Gerd Faltings got the Fields medal (Danish), Normat 35 (3) (1987), 89-97; 128.

2.B Mazur, On some of the mathematical contributions of Gerd Faltings, Proceedings of the International Congress of Mathematicians, Berkeley 1986 1 (Providence, RI, 1987), 7-12.

3.L D Olson, Mordell-Faltings theorem (Norwegian), Normat 32 (3) (1984), 125-127.

4.F Oort, In 1983 Faltings proved conjectures by Mordell, Shafarevich and Tate, CWI Newslett. (5) (1984), 2-21.

5.S Saito, The contributions of Gerd Faltings (Japanese), Sugaku 39 (1) (1987), 25-32.

시상내역 Using methods of arithmetic algebraic geometry, he received medal primarily for his proof of the Mordell Conjecture.
Other Award Danny Heinemen Prize(1983)
연구단행본 [1] Faltings, Gerd Toroidal resolutions for some matrix singularities. Moduli of abelian varieties (Texel Island, 1999), 157--184, Progr. Math., 195, Birkhäuser, Basel, 2001. 14D20 (14E15 14G35 14K10)
[2] Faltings, Gerd Does there exist an arithmetic Kodaira-Spencer class? Algebraic geometry: Hirzebruch 70 (Warsaw, 1998), 141--146, Contemp. Math., 241, Amer. Math. Soc., Providence, RI, 1999. 11G35 (14G25)
[3] Grothendieck, Alexander Brief an G. Faltings. (German) [Letter to G. Faltings] With an English translation on pp. 285--293. London Math. Soc. Lecture Note Ser., 242, Geometric Galois actions, 1, 49--58, Cambridge Univ. Press, Cambridge, 1997. 14E20 (14A15)
[4] Moderne Mathematik. (German) Edited by Gerd Faltings. Verständliche Forschung. [Comprehensible Research] Spektrum Akademischer Verlag GmbH, Heidelberg, 1996. 184 pp. ISBN: 3-8274-0025-2 00A05
[5] Faltings, Gerd Crystalline cohomology and $p$-adic Galois-representations. Algebraic analysis, geometry, and number theory (Baltimore, MD, 1988), 25--80, Johns Hopkins Univ. Press, Baltimore, MD, 1989. 14F30 (14F40)
[6] Faltings, Gerd The determinant of cohomology in etale topology. Arithmetic geometry (Cortona, 1994), 157--168, Sympos. Math., XXXVII, Cambridge Univ. Press, Cambridge, 1997. 14F20 (14G10)
[7] Faltings, Gerd Mumford-Stabilität in der algebraischen Geometrie. (German) [Mumford stability in algebraic geometry] Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 648--655, Birkhäuser, Basel, 1995. 14D25
[8] Faltings, Gerd The general case of S. Lang's conjecture. Barsotti Symposium in Algebraic Geometry (Abano Terme, 1991), 175--182, Perspect. Math., 15, Academic Press, San Diego, CA, 1994. 11G10 (14G05 14K99)
[9] Faltings, Gerd; Wüstholz, Gisbert; Grunewald, Fritz; Schappacher, Norbert; Stuhler, Ulrich Rational points. Third edition. Papers from the seminar held at the Max-Planck-Institut für Mathematik, Bonn/Wuppertal, 1983/1984. With an appendix by Wüstholz. Aspects of Mathematics, E6. Friedr. Vieweg & Sohn, Braunschweig, 1992. x+311 pp. ISBN: 3-528-28593-1 11G35 (11D41 14C17 14G05 14G40)
[10] Faltings, Gerd Lectures on the arithmetic Riemann-Roch theorem. Notes taken by Shouwu Zhang. Annals of Mathematics Studies, 127. Princeton University Press, Princeton, NJ, 1992. x+100 pp. ISBN: 0-691-08771-7; 0-691-02544-4 14C40 (14G40 14J20 58G26)
[11] Faltings, Gerd $F$-isocrystals on open varieties: results and conjectures. The Grothendieck Festschrift, Vol. II, 219--248, Progr. Math., 87, Birkhäuser Boston, Boston, MA, 1990. 14F30
[12] Faltings, Gerd; Chai, Ching-Li Degeneration of abelian varieties. With an appendix by David Mumford. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 22. Springer-Verlag, Berlin, 1990. xii+316 pp. ISBN: 3-540-52015-5 14K10 (11G10 14D20 14K25)
[13] Faltings, Gerd Recent progress in arithmetic algebraic geometry. A plenary address presented at the International Congress of Mathematicians held in Berkeley, California, August 1986. ICM Series. American Mathematical Society, Providence, RI, 1988. 1 videocassette (NTSC; 1/2 inch; VHS) (60 min.); sd., col. 11G10 (11G30 14G40)
[14] ICM addresses on the work of the 1986 Fields medalists and Nevanlinna Prize winner. Plenary addresses presented at the International Congress of Mathematicians held in Berkeley, California, August 1986. ICM Series. American Mathematical Society, Providence, RI, 1988. 1 videocassette (NTSC; 1/2 inch; VHS) (60 min.); sd., col. 01A70 (00A05)
[15] Faltings, Gerd Neuere Entwicklungen in der arithmetischen algebraischen Geometrie. (German) [Recent developments in arithmetic algebraic geometry] Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 55--61, Amer. Math. Soc., Providence, RI, 1987. 11Gxx (11-02 14G25)
[16] Faltings, Gerd Arithmetic theory of Siegel modular forms. Number theory (New York, 1984--1985), 101--108, Lecture Notes in Math., 1240, Springer, Berlin, 1987. 11F46 (11G15 11G18)
[17] Mazur, B. On some of the mathematical contributions of Gerd Faltings. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 7--12, Amer. Math. Soc., Providence, RI, 1987. 01A70
[18] Faltings, Gerd; Wüstholz, Gisbert; Grunewald, Fritz; Schappacher, Norbert; Stuhler, Ulrich Rational points. Second edition. Papers from the seminar held at the Max-Planck-Institut für Mathematik, Bonn/Wuppertal, 1983/1984. Aspects of Mathematics, E6. Friedr. Vieweg & Sohn, Braunschweig, 1986. vi+268 pp. ISBN: 3-528-18593-7 11D41 (11G35 14G05 14H25 14K15)
[19] Rational points. Papers from the seminar held at the Max-Planck-Institut für Mathematik, Bonn, 1983/1984. Edited by Gerd Faltings and Gisbert Wüstholz. Aspects of Mathematics, E6. Friedr. Vieweg & Sohn, Braunschweig; distributed by Heyden & Son, Inc., Philadelphia, PA, 1984. vi+268 pp. ISBN: 3-528-08593-2 14G13 (11D41 11G35 14G05 14H25 14K15)
[20] Faltings, G. Arithmetische Kompaktifizierung des Modulraums der abelschen Varietäten. (German) [Arithmetic compactification of the moduli space of abelian varieties] Workshop Bonn 1984 (Bonn, 1984), 321--383, Lecture Notes in Math., 1111, Springer, Berlin, 1985. 14K10 (11F46 11G18 14K15)
[21] Faltings, G. Arithmetic varieties and rigidity. Seminar on number theory, Paris 1982--83 (Paris, 1982/1983), 63--77, Progr. Math., 51, Birkhäuser Boston, Boston, MA, 1984. 11F46 (14G25 32N10)
[22] Faltings, Gerd Neuere Fortschritte in der diophantischen Geometrie. (German) [Recent progress in Diophantine geometry] Perspectives in mathematics, 131--146, Birkhäuser, Basel, 1984. 11G35 (11D41 14G05 14G13)
[23] Faltings, G.; Wüstholz, G. Einbettungen kommutativer algebraischer Gruppen und einige ihrer Eigenschaften. (German) [Embeddings of commutative algebraic groups and some of their properties] J. Reine Angew. Math. 354 (1984), 175--205. 11J89 (14L10)
[24] Faltings, Gerd Properties of Arakelov's intersection product. Algebraic geometry---open problems (Ravello, 1982), 138--145, Lecture Notes in Math., 997, Springer, Berlin, 1983. 14H25 (14C17 14C40 14J20)
[25] Faltings, Gerd On the cohomology of locally symmetric Hermitian spaces. Paul Dubreil and Marie-Paule Malliavin algebra seminar, 35th year (Paris, 1982), 55--98, Lecture Notes in Math., 1029, Springer, Berlin, 1983. 22E40 (32M15 32N15)
[26] Faltings, G. Erratum: "Finiteness theorems for abelian varieties over number fields". (German) Invent. Math. 75 (1984), no. 2, 381. 11D41 (11G30 14G25)
[27] Faltings, G. Endlichkeitssätze für abelsche Varietäten über Zahlkörpern. (German) [Finiteness theorems for abelian varieties over number fields] Invent. Math. 73 (1983), no. 3, 349--366. 11D41 (11G30 14G25)
[28] Faltings, Gerd Diophantine equations. Mathematics unlimited---2001 and beyond, 449--454, Springer, Berlin, 2001. 11Dxx
[29] Connes, Alain; Faltings, Gerd; Jones, Vaughan; Smale, Stephen; Thom, René; Wagensberg, Jorge Round-table discussion. Mathematical research today and tomorrow (Barcelona, 1991), 87--108, Lecture Notes in Math., 1525, Springer, Berlin, 1992. 00A05
[30] Faltings, Gerd Recent progress in Diophantine geometry. Mathematical research today and tomorrow (Barcelona, 1991), 78--86, Lecture Notes in Math., 1525, Springer, Berlin, 1992. 11-02 (11G35)
[31] Faltings, Gerd Report on arithmetic intersections. Mathematical aspects of string theory (San Diego, Calif., 1986), 412--415, Adv. Ser. Math. Phys., 1, World Sci. Publishing, Singapore, 1987. 14C17 (14G99 14H25)
[32] Faltings, Gerd Finiteness theorems for abelian varieties over number fields. Translated from the German original [Invent. Math. 73 (1983), no. 3, 349--366; ibid. 75 (1984), no. 2, 381; MR 85g:11026ab] by Edward Shipz. Arithmetic geometry (Storrs, Conn., 1984), 9--27, Springer, New York, 1986. 11G10 (14K15)
[33] Faltings, Gerd Some historical notes. Arithmetic geometry (Storrs, Conn., 1984), 1--8, Springer, New York, 1986. 11D41 (11G35)
[34] Faltings, Gerd Complements to Mordell. Rational points (Bonn, 1983/1984), 203--227, Aspects Math., E6, Vieweg, Braunschweig, 1984. 14G25 (11D41 11G10)
[35] Faltings, Gerd Heights. Rational points (Bonn, 1983/1984), 33--52, Aspects Math., E6, Vieweg, Braunschweig, 1984. 14G25 (11G10)
[36] Faltings, Gerd Moduli spaces. Rational points (Bonn, 1983/1984), 1--32, Aspects Math., E6, Vieweg, Braunschweig, 1984. 14D20
연구논문
  • Faltings, Gerd   Curves and their fundamental groups   Asterisque     252   (1998)   131-150   14G32, 14F30, 14H30
  • Faltings, Gerd   Crystalline cohomology of semistable curve---the $Qsb p$-theory   J. Algebraic Geom.   6   1   (1997)   1-18   14F30, 14F20
  • Faltings, Gerd   Integral crystalline cohomology over very ramified valuation rings   J. Amer. Math. Soc.   12   1   (1999)   117-144   14F30, 11G25, 14F20, 14F40, 14G20, 14L05
  • Faltings, Gerd   Integrality of Tate-cycles   Proc. Nat. Acad. Sci. U.S.A.   94   21   (1997)   11142   14F30, 11G18, 14G35
  • Faltings, Gerd   Explicit resolution of local singularities of moduli-spaces   J. Reine Angew. Math.   483     (1997)   183-196   14M17, 14E15, 14L30
  • Faltings, Gerd   Moduli-stacks for bundles on semistable curves   Math. Ann.   304   3   (1996)   489-515   14D20, 14H60, 22E67
  • Faltings, Gerd   The conjectures of Tate and Mordell   Arkhimedes   46   4   (1994)   327-340   11G30, 11D41, 14G25
  • Faltings, Gerd   The proof of Fermat's last theorem by R. Taylor and A. Wiles   Notices Amer. Math. Soc.   42   7   (1995)   743-746   11D41, 11F33, 11F80, 11G05
  • Faltings, Gerd;Jordan, Bruce W.   Crystalline cohomology and ${rm GL}(2,Q)$   Israel J. Math.   90   1-3   (1995)   1-66   11F80, 11F11, 14F30
  • Faltings, Gerd   A proof for the Verlinde formula   J. Algebraic Geom.   3   2   (1994)   347-374   14D20
  • Faltings, Gerd   The trace formula and Drinfelcprime d's upper halfplane   Duke Math. J.   76   2   (1994)   467-481   11S37, 11F85, 14F20
  • Faltings, Gerd; W?stholz, Gisbert   Diophantine approximations on projective spaces   Invent. Math.   116   1-3   (1994)   109-138   11J68, 11G35, 14K15
  • Faltings, Gerd   Stable $G$-bundles and projective connections   J. Algebraic Geom.   2   3   (1993)   507-568   14D20, 14H60, 32G13, 58D27
  • Faltings, Gerd   "Correction to: ""Crystalline cohomology of semistable curves, and $p$-adic Galois-representations"""   J. Algebraic Geom.   1   3   (1992)   427   14F30, 11F80, 11F85
  • Faltings, Gerd   Crystalline cohomology of semistable curves, and $p$-adic Galois-representations   J. Algebraic Geom.   1   1   (19921)   61-81   14F30
  • Faltings, Gerd   Diophantine approximation on abelian varieties   Ann. of Math. (2)   133   3   (1991)   549-576   11G10, 11J99
  • Faltings, Gerd   $p$-adic Hodge theory   J. Amer. Math. Soc.   1   1   (1988)   255-299   14F30, 14G20
  • Faltings, Gerd   Hodge-Tate structures and modular forms   Math. Ann.   278   1-4   (1987)   133-149   11F85, 11G25, 14G20
  • Faltings, G.;W?stholz, G.   Embeddings of commutative algebraic groups and some of their properties   J. Reine Angew. Math.   354     (1984)   175-205   11J89, 14L10
  • Faltings, Gerd   Calculus on arithmetic surfaces   Ann. of Math. (2)   119   2   (1984)   387-424   14H25, 14G99
  • Faltings, G.   Arakelov's theorem for abelian varieties   Invent. Math.   73   3   (1983)   337-347   14K10, 14G13, 14K20
  • Faltings, G.   "Erratum: ""Finiteness theorems for abelian varieties over number fields"""   Invent. Math.   75   2   (1984)   381   11D41, 11G30, 14G25
  • Faltings, G.   Finiteness theorems for abelian varieties over number fields   Invent. Math.   73   3   (1983)   349-366   11D41, 11G30, 14G25
  • Faltings, G.   The conjectures of Tate and Mordell   Jahresber. Deutsch. Math.-Verein.   86   1   (1984)   1-13   11D41, 11G30, 14G25
  • Faltings, Gerd   Real projective structures on Riemann surfaces   Compositio Math.   48   2   (1983)   223-269   32G15, 14D05, 30F10
  • Faltings, G.   Semistable vector bundles on Mumford curves   Invent. Math.   74   2   (1983)   199-212   14H25, 14F05
  • Faltings, Gerd   Vanishing theorems and submanifolds of small codimension of the complex-projective space   J. Reine Angew. Math.   326     (1981)   136-151   14M07, 14F05, 14F15, 32L20
  • Faltings, Gerd   Formale Geometrie und homogene R?ume   Invent. Math.   64   1   (1981)   123-165   14F05, 14L30, 20G15
  • Faltings, Gerd   Some theorems about formal functions   Publ. Res. Inst. Math. Sci.   16   3   (1980)   721-737   14B10, 14B20, 14F45
  • Faltings, Gerd   Ein Kriterium f?r vollst?ndige Durchschnitte   Invent. Math.   62   3   (1981)   393-401   14M10, 13H10
  • Faltings, Gerd   ?ber lokale Kohomologiegruppen hoher Ordnung   J. Reine Angew. Math.   313     (1980)   43-51   14B15, 14M10
  • Faltings, Gerd   Der Endlichkeitssatz in der lokalen Kohomologie   Math. Ann.   255   1   (1981)   45-56   13D03, 14B15
  • Faltings, Gerd   Algebraisation of some formal vector bundles   Ann. of Math. (2)   110   3   (1979)   501-514   14B20, 14F05
  • Faltings, Gerd   Erg?nzungen zu einem Artikel ?ber dualisierende Komplexe   Arch. Math. (Basel)   32   1   (1979)   31-33   13D99, 13C15, 14B25
  • Faltings, Gerd   A contribution to the theory of formal meromorphic functions   Nagoya Math. J.   77     (1980)   99-106   13J20, 14B99, 32B99
  • Faltings, Gerd   ?ber Macaulayfizierung   Math. Ann.   238   2   (1978)   175-192   14M05, 13H10, 14E10
  • Faltings, Gerd   Zur Existenz dualisierender Komplexe   Math. Z.   162   1   (1978)   75-86   14F10, 13D99, 14B25
  • Faltings, Gerd   ?ber die Annulatoren lokaler Kohomologiegruppen   Arch. Math. (Basel)   30   5   (1978)   473-476   14B15
  • Faltings, Gerd   Ein einfacher Beweis, dass geometrische Regularit?t formale Glattheit impliziert   Arch. Math. (Basel)   30   3   (1978)   284-285   14B99, 13H05