DARMON, HENRI / Matemàticas / Investigadores

Centro Internacional de Investigación Científica

Investigadores

Matemàticas / DARMON, HENRI

Darmonmath.mcgill.ca

Puesto

Mathematics Department, McGill University, Montreal, Canada.

Director of CICMA (Centre Interuniversaire en Calcul Algebrique) and an associate member of the CRM (Centre de Recherches Mathématiques).

One of the world's leading number theorists, working on Hilbert's 12th problem.

His research interests are in number theory, with a special emphasis on elliptic curves, modular forms, and their associated L-functions.

Henri Darmon and Robert Pollack
The efficient calculation of Stark-Heegner points via overconvergent modular symbols
Israel Journal of Mathematics, to appear.

Henri Darmon and Adrian Iovita
The anticyclotomic main conjecture for supersingular elliptic curves.
Submitted.

Henri Darmon and Samit Dasgupta
Unités elliptiques, corps quadratiques réels, et une formule limite de Kronecker.
Proceedings de la Troisième Conférence Internationale de Théorie des Nombres Quebec-Maroc, Mai 2003, Casablanca-Marrakech.
Annales des sciences mathématiques du Québec, à paraitre.

Henri Darmon and Samit Dasgupta
Elliptic units for real quadratic fields
Annals of Mathematics, to appear.

Henri Darmon
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.

Henri Darmon and Adam Logan
Heegner points and Hilbert modular forms
Algebraic number theory and related topics, RIMS Kokyuroku 1324, May 2003, 153-160.

Henri Darmon and Adam Logan
Periods of Hilbert modular forms and rational points on elliptic curves
International Mathematics Research Notices (2003) no. 40, 2153-2180.

Henri Darmon
Heegner points and elliptic curves of large rank over function fields.
Proceedings of an MSRI workshop on special values of Rankin L-series, H. Darmon and S. Zhang, eds., to appear.

Massimo Bertolini and Henri Darmon
A Birch and Swinnerton-Dyer conjecture for the Mazur-Tate circle pairing.
Duke Math Journal (2004) 122 No 1, 181-204.

Massimo Bertolini, Henri Darmon and Peter Green
Periods and points attached to quadratic algebras.
Proceedings of an MSRI workshop on special values of Rankin L-series, H. Darmon and S. Zhang, eds., to appear.

Henri Darmon and Peter Green
Elliptic curves and class fields of real quadratic fields: algorithms and evidence.
Experimental Mathematics, 11:1 (2002) 37-55.

Massimo Bertolini and Henri Darmon
The p-adic L-functions of modular elliptic curves
in 2001 and Beyond, Springer-Verlag, 2001.

Henri Darmon
Integration on Hpx H and arithmetic applications
Annals of Mathematics 154 (2001) 589-639.

Massimo Bertolini and Henri Darmon
Iwasawa's Main Conjecture for Elliptic Curves over Anticyclotomic Zp-extensions
Annals of Mathematics, to appear.

Massimo Bertolini, Henri Darmon, Adrian Iovita, and Michael Spiess
Teitelbaum's exceptional zero conjecture in the anticyclotomic setting
American Journal of Mathematics 124 (2002) 411-449.

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 xp+yq=zr and zm=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=zp
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.

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