Concepedia

Homological Algebra

Homological Algebra is a branch of mathematics that studies algebraic structures and their relationships through the construction and analysis of chain complexes and their derived functors, such as homology and cohomology groups, to extract structural invariants in algebraic topology, algebra, and geometry.

16.5K

Publications

691.6K

Citations

10.5K

Authors

2.3K

Institutions

Publications per year

2017–2026

1.5K

Parents

Children

Publications

16.5K

Commutative algebra with a view toward algebraic geometry

Choice Reviews Online · 1996 · 4.2K citations

, , +14

Noncommutative Geometry

Alain Connes, Joachim Cuntz, Marc A. Rieffel · Oberwolfach Reports · 2010 · 2.3K citations

, , +17

Representations of Coxeter groups and Hecke algebras

David Kazhdan, G. Lusztig · Inventiones mathematicae · 1979 · 1.7K citations

, , +12

A polynomial invariant for knots via von Neumann algebras

Vaughan F. R. Jones · Bulletin of the American Mathematical Society · 1985 · 1.7K citations · Full text

, , +14

Computing Persistent Homology

Afra Zomorodian, Gunnar Carlsson · Discrete & Computational Geometry · 2004 · 1.6K citations · Full text

, , +17

1–5 of 16.5K

Authors

10.5K

  1. PE
    Pavel Etingof

    Massachusetts Institute of Technology, United States

    49 publications · 3.5K citations

    27

    h-index

  2. LL
    Luchézar L. Avramov

    Purdue University West Lafayette, United States

    37 publications · 2K citations

    25

    h-index

  3. MV
    Michel Van den Bergh

    Hasselt University, Belgium

    42 publications · 3.6K citations

    25

    h-index

  4. SE
    Samuel Eilenberg

    Columbia University, United States

    26 publications · 3.8K citations

    24

    h-index

  5. MK
    Mikhail Khovanov

    Columbia University, United States

    32 publications · 3.8K citations

    23

    h-index

1–5 of 10.5K

Institutions

2.3K

  1. Massachusetts Institute of Technology

    Cambridge, United States

    67 h-index

    314 publications

    22.2K citations

  2. Princeton University

    Princeton, United States

    56 h-index

    168 publications

    21.3K citations

  3. Columbia University

    New York, United States

    52 h-index

    169 publications

    13K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    52 h-index

    355 publications

    13.5K citations

  5. University of California, Berkeley

    Berkeley, United States

    51 h-index

    208 publications

    14.8K citations

  6. Harvard University

    Cambridge, United States

    48 h-index

    138 publications

    10.5K citations

  7. University of Chicago

    Chicago, United States

    47 h-index

    189 publications

    13.1K citations

  8. Université Paris Cité

    Paris, France

    44 h-index

    165 publications

    8.6K citations

1–8 of 2.3K

Venues

  1. Journal of Algebra

    1.3K publications · 48.6K citations

    91

    h-index

  2. Annals of Mathematics

    251 publications · 32.6K citations

    89

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 720 publications · 35.4K citations

    85

    h-index

  4. Inventiones mathematicae

    235 publications · 23.4K citations

    79

    h-index

  5. Advances in Mathematics

    420 publications · 22K citations

    77

    h-index

1–5