Concepedia

Finiteness Theorems

Finiteness Theorems is a theoretical framework in Diophantine Equations that establishes conditions under which a given class of Diophantine equations has only finitely many solutions in integers or rational numbers.

559

Publications

23.4K

Citations

765

Authors

399

Institutions

Publications per year

2017–2026

55

Parents

Publications

559

Finiteness Conditions for CW-Complexes

C. T. C. Wall · Annals of Mathematics · 1965 · 548 citations

, , +8

HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

Jibin Li · International Journal of Bifurcation and Chaos · 2003 · 533 citations

, , +15

The String Landscape and the Swampland

Cumrun Vafa · ArXiv.org · 2005 · 503 citations · Full text

, , +12

Harmonic maps into Lie groups: classical solutions of the chiral model

Karen Uhlenbeck · Journal of Differential Geometry · 1989 · 471 citations · Full text

, , +16

Morse theory and finiteness properties of groups

Mladen Bestvina, Noel Brady · Inventiones mathematicae · 1997 · 436 citations

, , +11

1–5 of 559

Authors

765

  1. JG
    John G. Kemeny

    Dartmouth College, United States

    6 publications · 404 citations

    6

    h-index

  2. KG
    Kálmán Győry

    University of Debrecen, Hungary

    5 publications · 103 citations

    5

    h-index

  3. GL
    Gerald L. Thompson

    Carnegie Mellon University, United States

    5 publications · 394 citations

    5

    h-index

  4. JE
    Jan‐Hendrik Evertse

    Leiden University, Netherlands

    4 publications · 92 citations

    4

    h-index

  5. JL
    J. Laurie Snell

    Dartmouth College, United States

    4 publications · 331 citations

    4

    h-index

1–5 of 765

Institutions

399

  1. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    14 publications

    368 citations

  2. University of Chicago

    Chicago, United States

    10 h-index

    13 publications

    441 citations

  3. Bielefeld University

    Bielefeld, Germany

    8 h-index

    9 publications

    265 citations

  4. University of Michigan

    Ann Arbor, United States

    8 h-index

    9 publications

    290 citations

  5. University of Minnesota

    Minneapolis, United States

    7 h-index

    7 publications

    590 citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    7 h-index

    7 publications

    311 citations

  7. Mathematical Sciences Research Institute

    Berkeley, United States

    7 h-index

    7 publications

    328 citations

  8. Kyoto University

    Kyoto, Japan

    7 h-index

    7 publications

    309 citations

1–8 of 399

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 18 publications · 500 citations

    15

    h-index

  2. arXiv (Cornell University)

    Repository · 24 publications · 460 citations

    14

    h-index

  3. Communications in Algebra

    22 publications · 576 citations

    14

    h-index

  4. Journal of Algebra

    16 publications · 633 citations

    14

    h-index

  5. American Journal of Mathematics

    13 publications · 803 citations

    13

    h-index

1–5