World's Best Scientists 2026 revealed!
Annals of Mathematics
H-index 16

Annals of Mathematics

0003-486X

Published by: Mathematics Department of Princeton University in cooperation with the Institution for Advanced Study

https://annals.math.princeton.edu/

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 144 36 34 15

Additional Metrics

Number of Best Scientists*: 40
Documents by Best Scientists*: 36
Top 100 Ranked Scientists*: 3
SCIMAGO H-index: 145
SCIMAGO SJR: 8.627
Impact Factor: 5.3

Overview

Top Research Topics at Annals of Mathematics?

Annals of Mathematics primarily tackles Pure mathematics, Mathematical analysis, Combinatorics, Algebra and Discrete mathematics. Pure mathematics study tackled is connected to the field of Group (mathematics).

  • Pure mathematics (41.21%)
  • Mathematical analysis (17.99%)
  • Combinatorics (16.94%)

What are the most cited papers published in the journal?

  • NON-COOPERATIVE GAMES (5941 citations)
  • On Unitary Representations of the Inhomogeneous Lorentz Group (2415 citations)
  • Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II (2411 citations)

Research areas of the most cited articles at Annals of Mathematics:

The most cited publications are organized to address concerns in the fields of Pure mathematics, Mathematical analysis, Combinatorics, Algebra and Discrete mathematics. The journal articles cover various topics on Pure mathematics such as Conjecture, Cohomology, Invariant (mathematics), Manifold and Abelian group. The journal articles focus on Mathematical analysis but the discussions also offer insight into other areas such as Curvature and Scalar curvature.

What topics the last edition of the journal is best known for?

  • Mathematical analysis
  • Pure mathematics
  • Algebra

The previous edition focused in particular on these issues:

The journal facilitates discussions on Combinatorics, Conjecture, Pure mathematics, Bounded function and Jordan curve theorem. It explores issues in Combinatorics which can be linked to other research areas like Order (ring theory), Property (philosophy), Probabilistic logic and Group (mathematics). In addition to Conjecture research, it aims to explore topics under Trace (linear algebra), Representation (systemics), Unitary state, Fundamental lemma and Spectrum (functional analysis).

It holds forums on Pure mathematics that merges themes from other disciplines such as Sequence and Lattice (order). The presented research on Bounded function deals specifically with Ricci curvature but it also addresses topics in Stratification (mathematics), Mathematical analysis, Tangent cone, Riemannian manifold and Hausdorff measure. The research on Jordan curve theorem featured in the journal combines topics in other fields like Tangent, Disjoint sets, Rectangle, Lebesgue measure and Upper and lower bounds.

The most cited articles from the last journal are:

  • Integer multiplication in time O(n log n) (45 citations)
  • Singularities of linear systems and boundedness of Fano varieties (26 citations)
  • Marginal triviality of the scaling limits of critical 4D Ising and $\phi_4^4$ models (12 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Annals of Mathematics (based on the number of publications) are:

  • A. Adrian Albert (30 papers) absent at the last edition,
  • Paul Erdös (25 papers) absent at the last edition,
  • Goro Shimura (24 papers) absent at the last edition,
  • Maxime Bôcher (22 papers) absent at the last edition,
  • J. H. C. Whitehead (20 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Annals of Mathematics (based on the number of publications) are:

  • Princeton University (81 papers) published 3 papers at the last edition, 1 more than at the previous edition,
  • Massachusetts Institute of Technology (48 papers) published 2 papers at the last edition, 1 less than at the previous edition,
  • Stanford University (35 papers) published 3 papers at the last edition,
  • University of California, Los Angeles (33 papers) absent at the last edition,
  • University of Chicago (31 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 0.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 32.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 28.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 8.00% of all publications and 32.00% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Integrability of Liouville theory: proof of the DOZZ Formula

    Antti Kupiainen;Rémi Rhodes;Vincent Vargas

    (2020)
    102 Citations
  • Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge

    Plamen Stefanov;Gunther Alberto Arancibia Uhlmann;Andras Vasy

    (2021)
    99 Citations
  • On the Multiplicity One Conjecture in min-max theory

    Xin Zhou

    (2020)
    89 Citations
  • Uniqueness of two-convex closed ancient solutions to the mean curvature flow

    Sigurd B. Angenent;Panagiota Daskalopoulos;Natasa Sesum

    (2020)
    84 Citations
  • A minimizing valuation is quasi-monomial

    Chenyang Xu

    (2020)
    69 Citations
  • Thresholds versus fractional expectation-thresholds

    Keith Frankston;Jeff Kahn;Bhargav Narayanan;Jinyoung Park

    (2021)
    52 Citations
  • On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles

    (2022)
    49 Citations
  • On the implosion of a compressible fluid II: Singularity formation

    (2022)
    47 Citations
  • Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below

    Jeff Cheeger;Wenshuai Jiang;Aaron Naber

    (2021)
    45 Citations
  • The threshold conjecture for the energy critical hyperbolic Yang--Mills equation

    Sung-Jin Oh;Daniel Tataru

    (2021)
    36 Citations

Related Online Degrees & Career Pathways

Pursuing a degree in Mathematics opens doors to various career pathways, many of which intersect with business and administration fields. For those looking to complement their math skills with leadership and management expertise, exploring a 1 year executive mba online can be an effective way to fast-track career growth without sacrificing time.

Individuals interested in combining organizational skills with analytical knowledge might also consider foundational courses in office administration courses. These programs provide practical training that supports business operations, complementing mathematical problem-solving abilities.

For a broader business perspective, earning a business administration online degree can enhance one's qualifications and open up diverse roles in finance, consulting, and analytics. Mathematics graduates often thrive in such environments that value data-driven decision-making.

Additionally, for advancing to senior management positions, top-rated top online mba programs that do not require GMAT or GRE scores offer accessible options for busy professionals looking to elevate their credentials without the hurdle of standardized tests.

Best Scientists Contributing to This Journal