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Advances in Mathematics
H-index 28

Advances in Mathematics

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 28 230 304 28

Additional Metrics

Number of Best Scientists*: 257
Documents by Best Scientists*: 335
Top 100 Ranked Scientists*: 16
SCIMAGO H-index: 120
SCIMAGO SJR: 2.094
Impact Factor: 1.5

Overview

Top Research Topics at Advances in Mathematics?

The journal primarily focuses on research topics in Pure mathematics, Combinatorics, Mathematical analysis, Discrete mathematics and Algebra. The work on Pure mathematics tackled in it brings together disciplines like Type (model theory) and Bounded function.

  • Pure mathematics (46.16%)
  • Combinatorics (21.80%)
  • Mathematical analysis (17.69%)

What are the most cited papers published in the journal?

  • Multidimensional Nonlinear Diffusion Arising in Population Genetics (1369 citations)
  • The diamond lemma for ring theory (1092 citations)
  • Curvatures of left invariant metrics on lie groups (1065 citations)

Research areas of the most cited articles at Advances in Mathematics:

The published papers investigate studies in Pure mathematics, Combinatorics, Algebra, Mathematical analysis and Discrete mathematics. The works on Pure mathematics tackled in the journal articles bring together disciplines like Type (model theory) and Group (mathematics). Most of the works presented in the journal papers deal with Mathematical analysis but they intersect with the subject of Boundary (topology).

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

  • Pure mathematics
  • Mathematical analysis
  • Quantum mechanics

The previous edition focused in particular on these issues:

Advances in Mathematics investigates areas of study like Pure mathematics, Combinatorics, Conjecture, Type (model theory) and Bounded function. In addition to Pure mathematics research, Advances in Mathematics aims to explore topics under Structure (category theory) and Group (mathematics). The studies on Combinatorics discussed can also contribute to research in the domains of Upper and lower bounds and Set (abstract data type).

The most cited articles from the last journal are:

  • Tangle-tree duality in abstract separation systems (33 citations)
  • Genuine equivariant operads (25 citations)
  • Tensor categories arising from the Virasoro algebra (18 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 Advances in Mathematics (based on the number of publications) are:

  • Gian-Carlo Rota (529 papers) absent at the last edition,
  • Victor G. Kac (26 papers) published 1 paper at the last edition,
  • Andreas W. M. Dress (21 papers) absent at the last edition,
  • Fedor Sukochev (20 papers) absent at the last edition,
  • Victor Guillemin (19 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 Advances in Mathematics (based on the number of publications) are:

  • Massachusetts Institute of Technology (318 papers) published 5 papers at the last edition, 10 less than at the previous edition,
  • Princeton University (148 papers) published 4 papers at the last edition, 5 less than at the previous edition,
  • University of California, Berkeley (121 papers) published 10 papers at the last edition, 3 more than at the previous edition,
  • University of Paris (108 papers) published 7 papers at the last edition, 1 more than at the previous edition,
  • University of Michigan (100 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, 12.86% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 12.21% were posted by at least one author from the top 10 institutions publishing in the journal. Another 8.91% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 16.79% of all publications and 62.09% 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

  • Thresholds, valuations, and K-stability

    Harold Blum;Mattias Jonsson

    (2020)
    159 Citations
  • Linear inviscid damping and enhanced dissipation for the Kolmogorov flow

    Dongyi Wei;Zhifei Zhang;Weiren Zhao

    (2020)
    141 Citations
  • Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium

    Jiahong Wu;Yi Zhu

    (2021)
    76 Citations
  • Integration and geometrization of Rota-Baxter Lie algebras

    Li Guo;Honglei Lang;Yunhe Sheng

    (2021)
    75 Citations
  • On the soliton resolution and the asymptotic stability of N-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions

    (2022)
    74 Citations
  • The sliding methods for the fractional p-Laplacian

    Leyun Wu;Leyun Wu;Wenxiong Chen;Wenxiong Chen

    (2020)
    65 Citations
  • Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi–Yau 4-folds

    Yalong Cao;Jacob Gross;Dominic Joyce

    (2020)
    53 Citations
  • Extrapolation for multilinear Muckenhoupt classes and applications

    Kangwei Li;Kangwei Li;José María Martell;Sheldy Ombrosi

    (2020)
    51 Citations
  • Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry

    Sébastien Boucksom;Dennis Eriksson

    (2021)
    49 Citations
  • Coxeter submodular functions and deformations of Coxeter permutahedra

    Federico Ardila;Federico Ardila;Federico Castillo;Christopher Eur;Alexander Postnikov

    (2020)
    46 Citations

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Best Scientists Contributing to This Journal