Concepedia

Elliptic Curves

Elliptic Curves is a subfield of arithmetic geometry and number theory that studies smooth projective algebraic curves of genus one equipped with a distinguished rational point, typically realized as nonsingular cubic curves in Weierstrass form together with their induced abelian group structures and arithmetic properties.

13.2K

Publications

592.8K

Citations

12.3K

Authors

2.6K

Institutions

Publications per year

2017–2026

1.3K

Parents

Children

Publications

13.2K

Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I

Heisuke Hironaka · Annals of Mathematics · 1964 · 2.4K citations

, , +7

The Elliptic Curve Digital Signature Algorithm (ECDSA)

Don B. Johnson, Alfred Menezes, Scott A. Vanstone · International Journal of Information Security · 2001 · 2.2K citations

, , +10

Modular Elliptic Curves and Fermat's Last Theorem

Andrew Wiles · Annals of Mathematics · 1995 · 2.1K citations

, , +11

Pseudo holomorphic curves in symplectic manifolds

M. Gromov · Inventiones mathematicae · 1985 · 2.1K citations

, , +10

Elliptic Fourier features of a closed contour

Frank P. Kuhl, Charles R. Giardina · Computer Graphics and Image Processing · 1982 · 1.8K citations

, , +8

1–5 of 13.2K

Authors

12.3K

  1. RP
    Rahul Pandharipande

    Princeton University, United States

    37 publications · 2.4K citations

    22

    h-index

  2. HD
    Henri Darmon

    McGill University, Canada

    28 publications · 1.3K citations

    21

    h-index

  3. SD
    Steven D. Galbraith⋆

    Royal Holloway University of London, United Kingdom

    28 publications · 1.7K citations

    20

    h-index

  4. AM
    Alfred Menezes

    University of Waterloo, Canada

    22 publications · 4.6K citations

    19

    h-index

  5. JH
    Joseph H. Silverman

    University of Maryland, College Park, United States

    28 publications · 1.1K citations

    19

    h-index

1–5 of 12.3K

Institutions

2.6K

  1. Princeton University

    Princeton, United States

    59 h-index

    204 publications

    16.2K citations

  2. Harvard University

    Cambridge, United States

    58 h-index

    238 publications

    21.9K citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    51 h-index

    200 publications

    11.6K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    50 h-index

    345 publications

    14.4K citations

  5. University of California, Berkeley

    Berkeley, United States

    47 h-index

    161 publications

    8.2K citations

  6. Institute for Advanced Study

    Princeton, United States

    47 h-index

    131 publications

    12.7K citations

  7. The University of Tokyo

    Tokyo, Japan

    46 h-index

    155 publications

    8.7K citations

  8. Kyoto University

    Kyoto, Japan

    43 h-index

    147 publications

    10.4K citations

1–8 of 2.6K

Venues

  1. Inventiones mathematicae

    582 publications · 54.2K citations

    127

    h-index

  2. Annals of Mathematics

    237 publications · 34.4K citations

    95

    h-index

  3. American Journal of Mathematics

    243 publications · 15.1K citations

    68

    h-index

  4. Mathematische Annalen

    379 publications · 17K citations

    63

    h-index

  5. Duke Mathematical Journal

    DMJ · 277 publications · 13.8K citations

    63

    h-index

1–5