2026 Jean-Pierre Serre: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	70	267	225	12	10	352	34851

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

267

225

352

34851

Research.com Recognitions

2026 - Research.com Mathematics in France Leader Award
2025 - Research.com Mathematics in France Leader Award
2013 - Fellow of the American Mathematical Society
2003 - Abel Prize For playing a key role in shaping the modern form of many parts of mathematics, including topology, algebraic geometry and number theory.
2000 - Wolf Prize in Mathematics for his many fundamental contributions to topology, algebraic geometry, algebra, and number theory and for his inspirational lectures and writing.
1995 - Steele Prize for Mathematical Exposition
1979 - Member of the National Academy of Sciences
1978 - Royal Netherlands Academy of Arts and Sciences
1976 - Academie des sciences, France
1974 - Fellow of the Royal Society, United Kingdom
1960 - Fellow of the American Academy of Arts and Sciences
1954 - Fields Medal of International Mathematical Union (IMU) Achieved major results on the homotopy groups of spheres, especially in his use of the method of spectral sequences. Reformulated and extended some of the main results of complex variable theory in terms of sheaves.

Overview

Jean-Pierre Serre is affiliated with the Collège de France in France. Their research spans primarily the field of Mathematics, with contributions across several subfields including Geometry and Topology, Discrete Mathematics and Combinatorics, and Mathematical Physics. Their work also touches on History and Literature and Literary Theory.

Serre's main research topics cover a range of mathematical disciplines and include:

Finite Group Theory Research
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Advanced Combinatorial Mathematics
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Advanced Topology and Set Theory

Among the frequent co-authors in their research collaborations are Francesco Noseda, Ilir Snopce, and Eva Bayer-Fluckiger.

Their publications have appeared in several venues, with a notable presence in:

arXiv (Cornell University)
Tunisian Journal of Mathematics
Comptes Rendus Mathématique
L'Enseignement Mathématique
L'annuaire du Collège de France

Selected recent papers by Jean-Pierre Serre include:

"Groupes de Coxeter finis: involutions et cubes", 2022, published in L'Enseignement Mathématique
"Lettre de Jean-Pierre Serre à Joël Bellaïchedu 29 septembre 2013", 2025, published in Tunisian Journal of Mathematics
"Invariants cohomologiques mod 2 et invariants de Witt des groupes alternés", 2024, published in arXiv (Cornell University)
"Algèbre et géométrie (1956-1994)", 2020, published in L'annuaire du Collège de France
"The Life and Work of John Tate", 2020, published in Resonance

Jean-Pierre Serre has received multiple awards throughout their career, including:

Fields Medal of International Mathematical Union (IMU) in 1954 for work on homotopy groups of spheres and complex variable theory reformulations
Fellow of the American Academy of Arts and Sciences, 1960
Fellow of the Royal Society, United Kingdom, 1974
Academie des sciences, France, 1976
Royal Netherlands Academy of Arts and Sciences, 1978
Member of the National Academy of Sciences, 1979
Steele Prize for Mathematical Exposition, 1995
Wolf Prize in Mathematics, 2000, for contributions to topology, algebraic geometry, algebra, and number theory
Abel Prize, 2003, recognizing key roles in shaping modern topology, algebraic geometry, and number theory
Fellow of the American Mathematical Society, 2013

Best Publications

Linear Representations of Finite Groups

Jean-Pierre Serre

3254
Citations
A Course in Arithmetic

Jean Pierre Serre

2324
Citations
Propriétés galoisiennes des points d'ordre fini des courbes elliptiques

Jean-Pierre Serre

1540
Citations
Lie Algebras and Lie Groups

Jean-Pierre Serre

1444
Citations
Good reduction of abelian varieties

Jean-Pierre Serre;John Tate

1392
Citations
Abelian l̳-adic representations and elliptic curves

Jean Pierre Serre

1343
Citations
Faisceaux algébriques cohérents

Jean Pierre Serre

1020
Citations
Homologie Singuliere Des Espaces Fibres

Jean-Pierre Serre

930
Citations
Géométrie algébrique et géométrie analytique

Jean-Pierre Serre

888
Citations
Solution of the congruence subgroup problem for $SL_n (n \ge 3)$ and $Sp_{2n} (n \ge 2)$

Hyman Bass;John Milnor;Jean-Pierre Serre

843
Citations
Lectures on the Mordell-Weil theorem

Jean-Pierre Serre

814
Citations
Quelques applications du théorème de densité de Chebotarev

Jean-Pierre Serre

686
Citations
Cohomologie des groupes discrets

Jean-Pierre Serre

649
Citations
Groupes algébriques et corps de classes

Jean Pierre Serre

642
Citations
Topics in Galois Theory

Jean Pierre Serre

642
Citations
Groupes d'homotopie et classes des groupes abeliens

Jean-Pierre Serre

632
Citations
Cohomology of group extensions

G. Hochschild;J.-P. Serre

607
Citations
Représentations linéaires des groupes finis

Jean Pierre Serre

537
Citations
Algèbre locale : multiplicités

Jean Pierre Serre;Peter Gabriel

533
Citations
Cours d'arithmétique

Jean Pierre Serre

500
Citations
Algebraic Groups and Class Fields

Jean Pierre Serre

483
Citations

Frequent Co-Authors

Armand Borel Institute for Advanced Study

Pierre Deligne Institute for Advanced Study

John Tate Harvard University

Don Zagier Max Planck Institute for Mathematics

Hyman Bass University of Michigan–Ann Arbor

Friedrich Hirzebruch Max Planck Institute for Mathematics

Alexandre Grothendieck Institut des Hautes Études Scientifiques

Kristin E. Lauter Microsoft (United States)

Shiing-Shen Chern University of California, Berkeley

Jacques Tits Collège de France

External Links

Wikipedia of Jean-Pierre Serre Personal website of Jean-Pierre Serre

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