Concepedia

Modular Galois Representations

Modular Galois Representation is a continuous, odd, two-dimensional representation of the absolute Galois group of the rational numbers into the group of invertible 2×2 matrices over a finite field or p-adic ring that arises from a modular form via the Eichler–Shimura construction or the modularity lifting theorems.

218

Publications

8.5K

Citations

182

Authors

140

Institutions

Publications per year

2017–2026

32

Parents

Publications

218

A Family of Calabi–Yau Varieties and Potential Automorphy II

Tom Barnet-Lamb, David Geraghty, Michael Harris et al. · Publications of the Research Institute for Mathematical Sciences · 2011 · 403 citations · Full text

, , +16

Galois representations into GL2 (Z p [[X]]) attached to ordinary cusp forms

Haruzo Hida · Inventiones mathematicae · 1986 · 337 citations

, , +11

On galois representations associated to Hilbert modular forms

Richard Taylor · Inventiones mathematicae · 1989 · 269 citations

, , +15

A tameness criterion for Galois representations associated to modular forms (mod p)

Benedict H. Gross · Duke Mathematical Journal · 1990 · 264 citations

, , +11

Moduli of finite flat group schemes, and modularity

Mark Kisin · Annals of Mathematics · 2009 · 248 citations · Full text

, , +16

1–5 of 218

Authors

182

  1. RT
    Richard Taylor

    University of Cambridge, United Kingdom

    9 publications · 1.2K citations

    9

    h-index

  2. JA
    Jack A. Thorne

    University of Cambridge, United Kingdom

    8 publications · 337 citations

    8

    h-index

  3. LD
    Luís Dieulefait

    Universitat de Barcelona, Spain

    7 publications · 131 citations

    7

    h-index

  4. GW
    Gabor Wiese

    University of Luxembourg, Luxembourg

    6 publications · 96 citations

    6

    h-index

  5. FC
    Frank Calegari

    Northwestern University, United States

    5 publications · 172 citations

    5

    h-index

1–5 of 182

Institutions

140

  1. Harvard University

    Cambridge, United States

    11 h-index

    23 publications

    2.9K citations

  2. Princeton University

    Princeton, United States

    11 h-index

    12 publications

    672 citations

  3. Université Paris Cité

    Paris, France

    9 h-index

    11 publications

    234 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    10 publications

    1.5K citations

  5. University of Chicago

    Chicago, United States

    7 h-index

    10 publications

    446 citations

  6. Northwestern University

    Evanston, United States

    6 h-index

    6 publications

    240 citations

  7. Harvard University Press

    Cambridge, United States

    6 h-index

    13 publications

    818 citations

  8. University of British Columbia

    Vancouver, Canada

    6 h-index

    6 publications

    166 citations

1–8 of 140

Venues

  1. Duke Mathematical Journal

    DMJ · 15 publications · 1K citations

    14

    h-index

  2. Compositio Mathematica

    15 publications · 362 citations

    12

    h-index

  3. Inventiones mathematicae

    12 publications · 915 citations

    12

    h-index

  4. Journal of Number Theory

    11 publications · 319 citations

    11

    h-index

  5. arXiv (Cornell University)

    Repository · 10 publications · 229 citations

    10

    h-index

1–5