2023年柯爾數論獎得主加拿大麥吉爾大學教授 Henri Darmon(獲獎)的主要貢獻有哪些?

時間 2021-06-02 06:20:48

1樓:

Henri Darmon is cited 1037 times by 443 authors

in the MR Citation Database

Most Cited PublicationsCitationsPublication 104MR1468926(98h:11076)

Darmon, Henri; Merel, Loc Winding quotients and some variants of Fermat's last theorem. J. Reine Angew.

Math.

490(1997), 81–100. (Reviewer: Kenneth Kramer) 11G18 (11D41 11F80 11G05)91MR1348707(96e:11042)

Darmon, Henri; Granville, Andrew On the equations zm=F(x,y) and Axp+Byq=Czr. Bull. London Math.

Soc.

27 (1995),

no. 6,513–543. (Reviewer: Nigel Boston) 11D4157MR1605752(99d:11067b)

Darmon, Henri; Diamond, Fred; Taylor, RichardFermat's last theorem. Elliptic curves, modular forms & Fermat's last theorem (Hong Kong, 1993), 2–140, Int. Press, Cambridge, MA, 1997.

(Reviewer: M. Ram Murty) 11G18 (11D41 11F80 11G05)52MR1419003(97k:

11100)

Bertolini, M.; Darmon, H. Heegner points on Mumford-Tate curves. Invent. Math.

126(1996),

no. 3, 413–456. (Reviewer: Andrea Mori) 11G40 (11F67 11G05)52MR1884617(2003j:11067)

154(2001),

no. 3,589–639. (Reviewer:

Jeremy T. Teitelbaum) 11G40 (11F67 11F85 11G18 11R37)48MR1474977(99d:11067a)

Darmon, Henri; Diamond, Fred; Taylor, RichardFermat's last theorem. Current developments in mathematics, 1995 (Cambridge, MA), 1–154, Int. Press, Cambridge, MA, 1994.

(Reviewer: M. Ram Murty) 11G18 (11D41 11F80 11G05)44MR2020572(2004k:

11103)

Darmon, Henri Rational points on modular elliptic curves. CBMS Regional Conference Series in Mathematics, 101.

Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2004. xii+129 pp. ISBN:

0-8218-2868-1 (Reviewer: Chandrashekhar Khare) 11G40 (11F67 11F85 11G05 11G18)36MR1469318(99f:11079)

146(1997),

no. 1,111–147. (Reviewer: Andrea Mori) 11G40 (11F67)31MR1614543(99f:11080)

Bertolini, Massimo; Darmon, Henri Heegner points, p-adic L-functions, and the Cerednik-Drinfeld uniformization. Invent. Math.

131(1998),

no. 3, 453–491. (Reviewer:

Bas Edixhoven) 11G40 (11G05 14G10 14G20)28MR2178960(2006g:11218)

Bertolini, M.; Darmon, H. Iwasawa's main conjecture for elliptic curves over anticyclotomic Zp-extensions.

Ann. of Math. (2)

162(2005),

no. 1, 1–64. (Reviewer: Benjamin V. Howard) 11R23 (11G05)23MR2521118(2010m:11072)

Bertolini, Massimo; Darmon, Henri The rationality of Stark-Heegner points over genus fields of real quadratic fields. Ann. of Math.

(2)

170(2009),

no. 1, 343–370. (Reviewer:

Benjamin V. Howard) 11G18 (11F67 11G40)21MR2289868(2008c:11076)

Bertolini, Massimo; Darmon, Henri Hida families and rational points on elliptic curves. Invent. Math.

168(2007),

no. 2, 371–431. (Reviewer:

Benjamin V. Howard) 11F67 (11F85 11G05 11G40)20MR2195136(2007a:11079)

Darmon, Henri; Dasgupta, Samit Elliptic units for real quadratic fields.Ann. of Math. (2)

163(2006),

no. 1, 301–346. (Reviewer: Benjamin V. Howard) 11G16 (11F85 11R37)20MR3053566

162(2013),

no. 6, 1033–1148. (Reviewer:

Jan Neková) 11G40 (11G05 11G15 11G35)19MR1079001(91j:11048)

Bertolini, Massimo; Darmon, HenriKolyvagin's descent and Mordell-Weil groups over ring class fields.J. Reine Angew.

Math.

412(1990), 63–74. (Reviewer: Bas Edixhoven) 11G40 (11G15 11R34)18MR1357210(96h:11048)

Darmon, HenriSerre's conjectures. Seminar on Fermat's Last Theorem (Toronto, ON, 1993–1994), 135–153, CMS Conf. Proc.

, 17,

Amer. Math. Soc.

, Providence, RI, 1995. (Reviewer: Dipendra Prasad) 11F80 (11F11 11R32)18MR2254648(2007k:

11077)

Darmon, Henri; Pollack, Robert Efficient calculation of Stark-Heegner points via overconvergent modular symbols. Israel J. Math.

153(2006), 319–354. (Reviewer: Samit Dasgupta) 11F67 (11G05 11G40)17MR1260076(94m:11037)

Darmon, HenriThe equation x4y4=zp. C. R. Math. Rep. Acad. Sci. Canada

15 (1993),

no. 6, 286–290. (Reviewer: Andrew Granville) 11D41 (11G05)17MR1479291(98h:11034a)

Darmon, H.Faltings plus epsilon, Wiles plus epsilon, and the generalized Fermat equation. C.

R. Math. Rep.

Acad. Sci. Canada

19 (1997),

no. 1, 3–14. (Reviewer: Andrew Bremner) 11D41 (11G18 14G25)16MR1335080(96h:11113)

Darmon, HenriThaine's method for circular units and a conjecture of Gross. Canad. J.

Math.

47 (1995),

no. 2, 302–317. (Reviewer:

John W. Jones) 11R23 (11R11 11R18 11R42)15MR1997296(2005f:11110)

Darmon, Henri; Logan, Adam Periods of Hilbert modular forms and rational points on elliptic curves.Int. Math.

Res. Not.

2003,

no. 40,

2153–2180. (Reviewer: Alexey A. Panchishkin) 11G05 (11F41 11F67 11G18)15MR3250064

Darmon, Henri; Rotger, Victor Diagonal cycles and Euler systems I: A p-adic Gross-Zagier formula. Ann.

Sci. c. Norm.

Supér. (4)

47 (2014),

no. 4, 779–832. (Reviewer: Rolf Berndt) 11F70 (11S40 14F40)14MR1068821(91i:11149)

Darmon, HenriNote on a polynomial of Emma Lehmer. Math. Comp.

56 (1991),

no. 194, 795–800. (Reviewer: Lawrence Washington) 11R20 (11G16)

如何看待2023年沃爾夫獎得主Fefferman和Schoen?

兩人都是各自所在領域的成名人物,都有很多重要工作。能看出,沃爾夫獎評獎不像原來魚龍混雜了,蠻好,比如當年Krein居然和Whitney一起獲獎,Whitney乃公認的拓撲與幾何大師,他的嵌入定理幾乎人人盡知,還是示性類的奠基者,而Krein在分析裡頭都不算頂尖,從對分析的貢獻上當時顯然Bochner...

2023年普利茲克獎得主將會是誰?

一碗鯉魚飯 自問自答來一下 之所以開這個題是因為上學期某課小作業題目是這個,當時怎麼也攥不出來就想著空手套白狼一番,結果根本無人理睬。嘛,現在課早就結了,就把作業貼上來,省的這裡慘兮兮的都沒個答案。萬一老師也用知乎恰巧翻到了這一篇,不要懷疑,就是我寫的,我沒抄,頂多是空手套白狼未遂 張永和,將會是下...

2012 年諾貝爾經濟學獎得主 Alvin Roth 與 Lloyd Shapley 對經濟學的發展做出了哪些貢獻?

begin 1 i in S 0 i notin S end eeimg 1 Balanced collection of coalitions滿足存在一族balancing weight,使得 Bondareva Shapley Theorem TU game的core如果是非空的話,則對於任何乙...