Concepedia

Modularity Lifting Theorems

Modularity Lifting Theorems is a class of results in number theory that establishes conditions under which a Galois representation is modular, by lifting modularity from a residual representation to a p-adic representation, thereby extending modularity across deformation families.

56

Publications

1.9K

Citations

79

Authors

57

Institutions

Publications per year

2017–2026

7

Parents

Publications

56

Multi-Interval Subfactors and Modularity¶of Representations in Conformal Field Theory

Yasuyuki Kawahigashi, Roberto Longo, Michael Müger · Communications in Mathematical Physics · 2001 · 226 citations · Full text

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Modularity of certain potentially Barsotti-Tate Galois representations

Brian Conrad, Fred Diamond, Richard Taylor · Journal of the American Mathematical Society · 1999 · 169 citations · Full text

, , +15

On icosahedral Artin representations, II

Richard Taylor · American Journal of Mathematics · 2003 · 125 citations · Full text

, , +12

On Serre’s conjecture for 2-dimensional mod p representations of Gal(ℚ∕ℚ)

Chandrashekhar Khare, Jean-Pierre Wintenberger · Annals of Mathematics · 2009 · 81 citations · Full text

, , +16

The Torsion Theory Cogenerated by<i>M</i>-Small Modules

Yahya Talebi, N. Vanaja · Communications in Algebra · 2002 · 72 citations

, , +15

1–5 of 56

Authors

79

  1. TG
    Toby Gee

    Memorial Sloan Kettering Cancer Center, United States

    5 publications · 133 citations

    5

    h-index

  2. RT
    Richard Taylor

    University of Cambridge, United Kingdom

    3 publications · 221 citations

    3

    h-index

  3. CK
    Chandrashekhar Khare

    University of Utah, United States

    3 publications · 115 citations

    3

    h-index

  4. PL
    Payman L Kassaei

    McGill University, Canada

    2 publications · 57 citations

    2

    h-index

  5. RR
    Ravi Ramakrishna

    Cornell University, United States

    2 publications · 50 citations

    2

    h-index

1–5 of 79

Institutions

57

  1. Imperial College London

    London, United Kingdom

    3 h-index

    5 publications

    198 citations

  2. McGill University

    Montreal, Canada

    3 h-index

    3 publications

    96 citations

  3. Max Planck Society

    Munich, Germany

    2 h-index

    6 publications

    91 citations

  4. Institut de Recherche Mathématique Avancée

    Strasbourg, France

    2 h-index

    2 publications

    91 citations

  5. Universidad de Buenos Aires

    Buenos Aires, Argentina

    2 h-index

    2 publications

    42 citations

  6. University of Amsterdam

    Amsterdam, The Netherlands

    2 h-index

    2 publications

    52 citations

  7. University of Sheffield

    Sheffield, United Kingdom

    2 h-index

    3 publications

    64 citations

  8. Harvard University

    Cambridge, United States

    2 h-index

    3 publications

    351 citations

1–8 of 57

Venues

  1. Duke Mathematical Journal

    DMJ · 5 publications · 125 citations

    5

    h-index

  2. American Journal of Mathematics

    5 publications · 202 citations

    5

    h-index

  3. arXiv (Cornell University)

    Repository · 4 publications · 64 citations

    4

    h-index

  4. Compositio Mathematica

    4 publications · 79 citations

    4

    h-index

  5. Annals of Mathematics

    3 publications · 144 citations

    3

    h-index

1–5