A higher Gross-Zagier formula and the structure of Selmer groups

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Cites Work

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On arithmetic fundamental lemmas
Iwasawa's main conjecture for elliptic curves over anticyclotonic $\mathbb Z_p$-extensions
Tamagawa defect of Euler systems
Heegner points and derivatives of $L$-series
Refined conjectures of the ``Birch and Swinnerton-Dyer type
Arithmétique des algèbres de quaternions
Mean values of derivatives of modular $L$-series
On the structure of Selmer groups
Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
$p$-adic $L$-functions of an elliptic curve and rational points
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Special values of anticyclotomic $L$-functions for modular forms
Shtukas and the Taylor expansion of $L$-functions
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Shtukas and the Taylor expansion of $L$-functions. II
Special values of anticyclotomic $L$-functions.
Heegner point Kolyvagin system and Iwasawa main conjecture
Weil representation and arithmetic fundamental lemma
Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou
$p$-Selmer group and modular symbols
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Selmer groups and the indivisibility of Heegner points
$p$-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin
Overconvergent quaternionic forms and anticyclotomic $p$-adic $L$-functions
The Iwasawa Main Conjectures for $\mathrm{GL}_{2}$
Nonvanishing theorems for L-functions of modular forms and their derivatives
On the modularity of elliptic curves over $\mathbb Q$: wild 3-adic exercises
On anticyclotomic μ-invariants of modular forms
Bipartite Euler systems
Global divisibility of Heegner points and Tamagawa numbers
Twists of elliptic curves of rank at least four
Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner
Kolyvagin systems
The Heegner point Kolyvagin system
The Gross-Zagier Formula on Shimura Curves
On the anticyclotomic Iwasawa main conjecture for modular forms
The Structure of Selmer Groups of Elliptic Curves and Modular Symbols
On the freeness of anticyclotomic Selmer groups of modular forms

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