Journal of the American Mathematical Society

Top Research Topics at Journal of the American Mathematical Society?

The journal investigates studies in Pure mathematics, Combinatorics, Mathematical analysis, Discrete mathematics and Algebra. It facilitates discussions on Pure mathematics that incorporate concepts from other fields like Algebraic number and Group (mathematics). Research on Combinatorics addressed in the journal frequently intersections with the field of Bounded function.

• Pure mathematics (42.97%)
• Combinatorics (25.29%)
• Mathematical analysis (20.21%)

What are the most cited papers published in the journal?

• Cluster algebras I: Foundations (1487 citations)
• Existence of minimal models for varieties of log general type (1183 citations)
• On the distribution of the length of the longest increasing subsequence of random permutations (1151 citations)

Research areas of the most cited articles at Journal of the American Mathematical Society:

The most cited publications cover a variety of subjects, including Pure mathematics, Mathematical analysis, Discrete mathematics, Combinatorics and Algebra. The journal papers hold forums on Mathematical analysis that merge themes from other disciplines such as Moduli of algebraic curves and Scalar curvature. Issues in Combinatorics were discussed in the journal papers, taking into consideration concepts from other disciplines like Invariant (mathematics) and Compact space.

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

• Mathematical analysis
• Pure mathematics
• Combinatorics

The previous edition focused in particular on these issues:

The journal generally zeroes in on subjects such as Pure mathematics, Conjecture, Combinatorics, Group (mathematics) and Scalar curvature. Discussions in Journal of the American Mathematical Society are anchored in the subject of Pure mathematics and the similar topic of Upper and lower bounds. Some problems in Conjecture that were presented in the journal overlapped with concepts under Conformal group, Fundamental group, Manifold, Simply connected space and Isometry group.

It explores issues in Combinatorics which can be linked to other research areas like Space (mathematics), Cohomology, Lattice (order) and Convex body. The work on Scalar curvature tackled in the journal brings together disciplines like Mathematical physics, Mathematical analysis and Constant (mathematics). The studies in Mathematical analysis featured incorporate elements of Mixing (physics) and Degenerate energy levels.

The most cited articles from the last journal are:

• A variational approach to the Yau–Tian–Donaldson conjecture (19 citations)
• The isoperimetric inequality for a minimal submanifold in Euclidean space (12 citations)
• Algebraicity of the metric tangent cones and equivariant K-stability (11 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.

Top authors and change over time

The top authors publishing in Journal of the American Mathematical Society (based on the number of publications) are:

• Terence Tao (10 papers) absent at the last edition,
• Gang Tian (9 papers) absent at the last edition,
• George Lusztig (9 papers) absent at the last edition,
• Jean Bourgain (7 papers) absent at the last edition,
• Carlos E. Kenig (7 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.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Journal of the American Mathematical Society (based on the number of publications) are:

• Princeton University (68 papers) published 2 papers at the last edition the same number as at the previous edition,
• Massachusetts Institute of Technology (44 papers) published 2 papers at the last edition,
• University of Chicago (41 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• University of California, Berkeley (39 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• Harvard University (39 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, 3.57% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 48.15% were posted by at least one author from the top 10 institutions publishing in the journal. Another 7.41% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 22.22% of all publications and 22.22% 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.