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Henri Darmon

Henri Darmon

D-Index & Metrics

Mathematics

D-Index
31
Citations
4036
World Ranking
3339
National Ranking
136

Research.com Recognitions

  • 2017 - Frank Nelson Cole Prize in Number Theory
  • 2003 - Fellow of the Royal Society of Canada Academy of Science
  • 1996 - Fellow of Alfred P. Sloan Foundation

Overview

Henri Darmon is affiliated with McGill University in Canada. Their research primarily focuses on the field of Mathematics, with a particular emphasis on Geometry and Topology, Mathematical Physics, and Algebra and Number Theory. Their work spans several advanced topics in these domains.

The scientist's recent publications include:

  • Singular moduli for real quadratic fields: A rigid analytic approach (2020, Duke Mathematical Journal)
  • The values of the Dedekind-Rademacher cocycle at real multiplication points (2023, Journal of the European Mathematical Society)
  • Diagonal restrictions of p-adic Eisenstein families (2020, Mathematische Annalen)
  • Heegner points and Beilinson-Kato elements: A conjecture of Perrin-Riou (2022, Advances in Mathematics)
  • The Derived Hecke Algebra for Dihedral Weight One Forms (2022, The Michigan Mathematical Journal)

Frequent co-authors collaborating with Henri Darmon include:

  • Jan Vonk
  • Víctor Rotger
  • Lennart Gehrmann
  • Alice Pozzi
  • Massimo Bertolini

The scientist has a significant presence in various publication venues. Notable frequent venues include:

  • arXiv (Cornell University)
  • Mathematische Annalen
  • Annales mathématiques du Québec
  • Duke Mathematical Journal
  • Journal of the European Mathematical Society

Henri Darmon's research spans several subfields and topics, including:

  • Geometry and Topology
  • Mathematical Physics
  • Algebra and Number Theory
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Main topics covered in their work are:

  • Advanced Algebra and Geometry
  • Algebraic Geometry and Number Theory
  • Advanced mathematical theories
  • Geometry and complex manifolds
  • Advanced Topics in Algebra
  • Analytic Number Theory Research
  • Advanced Mathematical Identities

Henri Darmon has been recognized by multiple awards, including:

  • Frank Nelson Cole Prize in Number Theory (2017)
  • Fellow of the Royal Society of Canada, Academy of Science (2003)
  • Fellow of Alfred P. Sloan Foundation (1996)

Best Publications

  • Fermat’s Last Theorem

    H. Darmon;F. Diamond;R. Taylor

  • On the Equations zm = F(x, y) and Axp + Byq = Czr

    Henri Darmon;Andrew Granville

  • Winding quotients and some variants of Fermat’s Last Theorem

    Henri Darmon

  • Heegner points on Mumford–Tate curves

    M. Bertolini;H. Darmon

  • Integration on ${\cal H}_p imes {\cal H}$ and arithmetic applications

    Henri Darmon

  • Iwasawa's Main Conjecture for elliptic curves over anticyclotomic Zp-extensions

    Massimo Bertolini;Henri Darmon

  • Generalized heegner cycles and p-adic rankin L-series

    Massimo Bertolini;Henri Darmon;Kartik Prasanna

  • Rational Points on Modular Elliptic Curves

    Henri Darmon

  • Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula

    Henri Darmon;Victor Rotger

  • Hilbert modular forms and the Gross{Stark conjecture

    Samit Dasgupta;Henri Darmon;Robert Pollack

  • Heegner points, p-adic L-functions, and the Cerednik-Drinfeld uniformization

    Massimo Bertolini;Henri Darmon

  • A rigid analytic Gross-Zagier formula and arithmetic applications

    Massimo Bertolini;Henri Darmon

  • Hida families and rational points on elliptic curves

    Massimo Bertolini;Henri Darmon

  • Elliptic units for real quadratic fields

    Henri Darmon;Samit Dasgupta

  • p-adic periods, p-adic L-functions, and the p-adic uniformization of Shimura curves

    Massimo Bertolini;Henri Darmon

  • STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE

    Henri Darmon;Alan Lauder;Victor Rotger

  • Beilinson-Flach elements and Euler systems I: Syntomic regulators and -adic Rankin -series

    Massimo Bertolini;Henri Darmon;Victor Rotger

  • The rationality of Stark-Heegner points over genus fields of real quadratic fields

    Massimo Bertolini;Henri Darmon

  • Efficient calculation of Stark-Heegner points via overconvergent modular symbols

    Henri Darmon;Robert Pollack

  • Periods of Hilbert modular forms and rational points on elliptic curves

    Henri Darmon;Adam Logan

  • Diagonal cycles and Euler systems II: the Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin L-functions

    Henri Darmon;Victor Rotger

  • Heegner Points and Rankin L-Series

    Henri Rene Darmon;Shouwu Zhang

Frequent Co-Authors

Andrew Granville
Andrew Granville University of Montreal
Ken Ono
Ken Ono University of Virginia

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