Publications

Massimo Bertolini and Henri Darmon
The p-adic L-functions of modular elliptic curves
To appear.

Henri Darmon
Integration on H_px H and arithmetic applications
To appear.

Massimo Bertolini and Henri Darmon
Iwasawa's Main Conjecture for Elliptic Curves over Anticyclotomic Z_p-extensions
In progress.

Massimo Bertolini, Henri Darmon, Adrian Iovita, and Michael Spiess
Teitelbaum's exceptional zero conjecture in the anticyclotomic setting
Submitted.

Henri Darmon
Modularity of fibres in rigid local systems
Annals of Mathematics 149 (1999) 1079-1086.

Henri Darmon
Rigid local systems, Hilbert modular forms, and Fermat's Last Theorem
Duke Math Journal 102 (2000) 413-449.

Massimo Bertolini and Henri Darmon
Non-triviality of families of Heegner points and ranks of Selmer groups over anticyclotomic towers
Journal of the Ramanujan Mathematical Society 13 (1998) no. 1, 15--24.

Henri Darmon and Jean-Francois Mestre
Courbes hyperelliptiques à multiplications réelles et une construction de Shih
Canadian Math Bulletin 43 (2000) 304-311.

Massimo Bertolini and Henri Darmon
Euler systems and Jochnowitz congruences
American Journal of Mathematics 121 (1999) 259-281.

Massimo Bertolini and Henri Darmon
p-adic periods, p-adic L-functions and the p-adic uniformization of Shimura curves
Duke Math Journal 98 (1999) 305-334.

Henri Darmon
Stark-Heegner points over real quadratic fields
Number theory (Tiruchirapalli, 1996) 41--69 Contemporary Mathematics 210, AMS, Providence, RI, 1998.

Henri Darmon and Loïc Merel
Winding quotients and some variants of Fermat's Last Theorem
Journal für die reine und angewandte Mathematik 490 (1997) 81-100.

Massimo Bertolini and Henri Darmon
Heegner points, p-adic L-functions and the Cerednik-Drinfeld uniformization
Inventiones Math 131 (1998) 453-491.

Massimo Bertolini and Henri Darmon, with an appendix by Bas Edixhoven
A rigid analytic Gross-Zagier formula and arithmetic applications
Annals of Mathematics 146 (1997) 111-147.

Massimo Bertolini and Henri Darmon
Heegner points on Mumford-Tate curves
Inventiones Math 126 (1996) 413-456.

Antal Balog, Henri Darmon and Ken Ono
Congruences for Fourier coefficients of half- integral weight modular forms and special values of L-functions
Analytic number theory: Proceedings of a Conference in Honor of Heini Halberstam, Volume 1, 105-128, 1996, Birkhauser, Boston.

Massimo Bertolini and Henri Darmon
Derived p-adic heights
American Journal of Mathematics 117 (1995) 1-38.

Henri Darmon and Andrew Granville
On the equations x^p+y^q=z^r and z^m=f(x,y)
Bulletin of the London Mathematical Society, no 129, 27 part 6, November 1995, pp. 513-544.

Massimo Bertolini and Henri Darmon
Derived heights and generalized Mazur-Tate regulators
Duke Math Journal 76 No. 1 (1994) pp. 75-111.

Henri Darmon
The equation x⁴-y⁴=z^p
C.R. Math. Rep. Acad. Sci. Canada. XV No. 6 (1993) pp. 286-290.

Henri Darmon
Thaine's method for circular units and a conjecture of Gross
Canadian Journal of Mathematics Vol. 47 (2) (1995) pp. 302-317.

Henri Darmon
On the equations xⁿ+yⁿ=z² and xⁿ+yⁿ=z³
Duke International Mathematics Research Notices 72 No. 1 (1993) pp. 263-274.

Henri Darmon
Heegner points, Heegner cycles, and congruences
In "Elliptic curves and related topics", CRM proceedings and lecture notes vol. 4, H. Kisilevsky and M. Ram Murty eds. (1992) pp. 45-60.

Henri Darmon
Euler systems and refined conjectures of Birch and Swinnerton-Dyer type
Contemporary Mathematics 165 (1994) pp. 265-276.

Henri Darmon
A refined conjecture of Mazur-Tate type for Heegner points
Inventiones Math 110 (1992) pp.123-146.

Massimo Bertolini and Henri Darmon
Kolyvagin's descent and Mordell-Weil groups over ring class fields
Journal für die reine und angewandte Mathematik 412 (1990) pp. 63-74.

Henri Darmon
Note on a polynomial of Emma Lehmer
Mathematics of Computation 56 No. 194, April 1991, pp. 795- 800.

Henri Darmon and John McKay
Permutations with Fixed Point and a Continued Fraction
American Mathematical Monthly 98, No. 1, January 1991, pp. 25-27.

Henri Darmon and David Ford
A Computational Verification of M₁₁ as Galois Group
Communications in Algebra 17 No.12 (1989) p. 2941-2944.
 

Henri Darmon
The Shimura-Taniyama Conjecture
Article in the  Encyclopedia of Mathematics (1999).
 

Henri Darmon
Elliptic curves and p-adic uniformisation
CMS notes, March 1999, 8--16.

Henri Darmon, Fred Diamond and Richard Taylor
Fermat's Last Theorem
Current Developments in Mathematics 1, 1995, International Press, pp. 1-157.
Reprinted in
Elliptic curves, modular forms & Fermat's last theorem (Hong Kong, 1993), 2--140, International Press, Cambridge, MA, 1997.

Henri Darmon
Faltings plus epsilon, Wiles plus epsilon, and the generalized Fermat equation
C.R. Math. Rep. Acad. Sci. Canada Vol. 19 (1), 1997 pp. 3-14.

Henri Darmon
Wiles' theorem and the arithmetic of elliptic curves
Modular forms and Fermat's last theorem (Boston, MA, 1995), 549--569, Springer, New York, 1997.

Henri Darmon
Serre's Conjectures
CICMA preprint; in "Seminar on Fermat's Last Theorem", V. Kumar Murty ed., CMS conference proceedings Volume 17, pp. 135-155.

Henri Darmon
The Shimura- Taniyama conjecture (d'après Wiles)
(in Russian) Uspekhi Mat. Nauk 50 no. 3 (1995)(303), 33-82.
(English version: Russian Math Surveys 50 No 3 (1995) pp. 503-549.)

4. dvi or Postscript

Henri Darmon
Taureaux, internet et quanta: l'arithmétique des très grands nombres
Un apercu de la recherche à l'occasion de l'année mathématique mondiale, produit par l'ISM et l'AMQ.

Henri Darmon
Le Dernier Théorème de Fermat
Encart dans Québec Science. Eté 2000.

Henri Darmon
A Proof of the Full Shimura-Taniyama-Weil Conjecture is Announced
Notices of the AMS, December 1999, Vol 46, No. 11, 1397--1401.

French translation:  dvi  or Postscript
La Conjecture de Shimura-Taniyama-Weil est enfin Démontrée
Gazette des Mathématiciens, Société Mathématique de France.

Henri Darmon et Claude Levesque
Sommes infinies, équations diophantiennes et le dernier théorème de Fermat
Comptes-rendus du Colloque des Sciences Mathématiques du Québec, Lévis, Octobre 1995; et
Gazette des Sciences Mathématiques du Québec, Volume XVIII, Numéro 1, Avril1996 (numéro dédié à la mémoire de Carl Herz).

Jean-Pierre Serre
Topics in Galois Theory
Based on a course taught by J-P. Serre at Harvard in 1989, and notes taken by Henri Darmon.
Research Notes in Mathematics, Volume 1, Jones and Bartlett Publishers, 1992.