Transactions of the American Mathematical Society

Top Research Topics at Transactions of the American Mathematical Society?

The discussions in Transactions of the American Mathematical Society mainly cover the fields of Pure mathematics, Mathematical analysis, Combinatorics, Discrete mathematics and Algebra. Pure mathematics research presented in Transactions of the American Mathematical Society encompasses a variety of subjects, including Space (mathematics), Type (model theory) and Group (mathematics). The Mathematical analysis study tackling the subject of Bounded function is the focus of it.

The works on Combinatorics deal in particular with Conjecture.

• Pure mathematics (41.29%)
• Mathematical analysis (24.69%)
• Combinatorics (22.17%)

What are the most cited papers published in the journal?

• Theory of Reproducing Kernels. (4678 citations)
• Viscosity solutions of Hamilton-Jacobi equations (2264 citations)
• Multiresolution approximations and wavelet orthonormal bases of L^2(R) (2109 citations)

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

The journal articles primarily focus on research topics in Pure mathematics, Mathematical analysis, Combinatorics, Discrete mathematics and Algebra. The Pure mathematics study tackled in the most cited publications is a key component of adjacent topics in the area of Topology. The journal articles explore issues in Mathematical analysis which can be linked to other research areas like Boundary (topology) and Nonlinear system.

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 primarily tackles Pure mathematics, Combinatorics, Mathematical analysis, Conjecture and Space (mathematics). In addition to Pure mathematics research, it aims to explore topics under Structure (category theory), Type (model theory) and Group (mathematics). The journal facilitated presentations on Combinatorics research, particularly Degree (graph theory) and Dimension (graph theory).

The most cited articles from the last journal are:

• Non–uniqueness of admissible weak solutions to the compressible Euler equations with smooth initial data (24 citations)
• Inverse problems for the fractional-Laplacian with lower order non-local perturbations (11 citations)
• Ordered set partitions, Garsia-Procesi modules, and rank varieties (8 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 Transactions of the American Mathematical Society (based on the number of publications) are:

• Leonard Eugene Dickson (52 papers) absent at the last edition,
• Avner Friedman (46 papers) absent at the last edition,
• Saharon Shelah (35 papers) absent at the last edition,
• Edward Kasner (28 papers) absent at the last edition,
• Richard L. Wheeden (27 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 Transactions of the American Mathematical Society (based on the number of publications) are:

• University of Illinois at Urbana–Champaign (122 papers) published 4 papers at the last edition the same number as at the previous edition,
• University of California, Berkeley (111 papers) published 2 papers at the last edition, 4 less than at the previous edition,
• University of Michigan (103 papers) published 4 papers at the last edition, 1 more than at the previous edition,
• University of Wisconsin-Madison (100 papers) published 1 paper at the last edition, 2 less than at the previous edition,
• Massachusetts Institute of Technology (98 papers) published 1 paper at the last edition the same number as at the previous 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, 13.31% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 9.30% were posted by at least one author from the top 10 institutions publishing in the journal. Another 8.84% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 18.14% of all publications and 63.72% 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.