Concepedia

Computational Algebraic Geometry

Computational Algebraic Geometry is a branch of computational mathematics that develops and applies algorithmic methods to solve problems in algebraic geometry by effectively computing properties of algebraic varieties, such as their ideals, syzygies, and geometric invariants, using symbolic and numerical techniques.

786

Publications

41.2K

Citations

1.1K

Authors

574

Institutions

Publications per year

2017–2026

130

Variants

Algorithmic Algebraic Geometry

Parents

Publications

786

Three-dimensional computer vision: a geometric viewpoint

Choice Reviews Online · 1994 · 3.1K citations

, , +16

Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra

Choice Reviews Online · 1993 · 2.1K citations

, , +17

Barcodes: The persistent topology of data

Robert Ghrist · Bulletin of the American Mathematical Society · 2007 · 1.3K citations · Full text

, , +15

Improved decoding of Reed-Solomon and algebraic-geometry codes

Venkatesan Guruswami, Madhu Sudan · IEEE Transactions on Information Theory · 1999 · 1K citations

, , +15

Rational singularities with applications to algebraic surfaces and unique factorization

Joseph Lipman · Publications mathématiques de l IHÉS · 1969 · 655 citations

, , +13

1–5 of 786

Authors

1.1K

  1. BS
    Bernd Sturmfels

    University of California, Berkeley, United States

    24 publications · 1.5K citations

    20

    h-index

  2. JD
    Jonathan D. Hauenstein

    University of Notre Dame, United States

    16 publications · 527 citations

    13

    h-index

  3. YZ
    Yang Zhang

    University of Science and Technology of China, China

    10 publications · 675 citations

    10

    h-index

  4. AJ
    Andrew J. Sommese

    University of Notre Dame, United States

    10 publications · 646 citations

    10

    h-index

  5. DJ
    Daniel J. Bates

    Colorado State University, United States

    9 publications · 221 citations

    9

    h-index

1–5 of 1.1K

Institutions

574

  1. University of California, Berkeley

    Berkeley, United States

    21 h-index

    37 publications

    2.4K citations

  2. University of Notre Dame

    Notre Dame, United States

    15 h-index

    28 publications

    1.1K citations

  3. University of Oxford

    Oxford, United Kingdom

    15 h-index

    25 publications

    1K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    14 h-index

    23 publications

    3.3K citations

  5. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    14 h-index

    22 publications

    894 citations

  6. Texas A&M University

    College Station, United States

    13 h-index

    18 publications

    755 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    22 publications

    934 citations

  8. University of Michigan

    Ann Arbor, United States

    12 h-index

    12 publications

    733 citations

1–8 of 574

Venues

  1. Journal of Symbolic Computation

    34 publications · 1.7K citations

    22

    h-index

  2. IEEE Transactions on Information Theory

    22 publications · 2K citations

    19

    h-index

  3. arXiv (Cornell University)

    Repository · 34 publications · 946 citations

    17

    h-index

  4. Mathematics of Computation

    MCOM · 18 publications · 652 citations

    15

    h-index

  5. Journal of High Energy Physics

    JHEP · 15 publications · 918 citations

    15

    h-index

1–5