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Illinois Journal of Mathematics
H-index 4

Illinois Journal of Mathematics

0019-2082

Published by: Duke University Press

https://ijm.math.illinois.edu/

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 569 14 14 4

Additional Metrics

Number of Best Scientists*: 15
Documents by Best Scientists*: 15
Top 100 Ranked Scientists*: 2
SCIMAGO H-index: 42
SCIMAGO SJR: 0.641
Impact Factor: N/A

Overview

Top Research Topics at Illinois Journal of Mathematics?

The topics of Pure mathematics, Discrete mathematics, Mathematical analysis, Combinatorics and Algebra are the focal point of discussions in the journal. The work on Pure mathematics addressed in it expands to the thematically related Topology.

  • Pure mathematics (44.15%)
  • Discrete mathematics (18.25%)
  • Mathematical analysis (17.63%)

What are the most cited papers published in the journal?

  • Approximate formulas for some functions of prime numbers (1398 citations)
  • Every planar map is four colorable. Part I: Discharging (738 citations)
  • Every planar map is four colorable. Part II: Reducibility (555 citations)

Research areas of the most cited articles at Illinois Journal of Mathematics:

The journal papers mainly deal with areas of study such as Pure mathematics, Combinatorics, Discrete mathematics, Mathematical analysis and Algebra. The studies on Pure mathematics discussed at the most cited publications can also contribute to research in the domains of Bounded function and Topology.

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

  • Mathematical analysis
  • Algebra
  • Pure mathematics

The previous edition focused in particular on these issues:

The journal generally zeroes in on subjects such as Pure mathematics, Combinatorics, Order (group theory), Function (mathematics) and Metric (mathematics). Pure mathematics research presented in it encompasses a variety of subjects, including Polynomial ring, Group (mathematics) and Prime (order theory). The research on Combinatorics tackled can also make contributions to studies in the areas of Martingale (probability theory), Extrapolation, Discrete valuation and Muckenhoupt weights.

Topics in Order (group theory) were tackled in line with various other fields like Differential operator, Differential (mathematics) and Partial derivative. The research on Function (mathematics) featured in it combines topics in other fields like Commutative property, Noetherian ring, Finitely-generated abelian group and Bijection, injection and surjection. Issues in Metric (mathematics) were discussed, taking into consideration concepts from other disciplines like Characterization (mathematics), Metric space, Meromorphic function, Domain (mathematical analysis) and Uniformization (set theory).

The most cited articles from the last journal are:

  • Classification of dominant resolving subcategories by moderate functions (4 citations)
  • Of limit key polynomials (3 citations)
  • On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields (2 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 Illinois Journal of Mathematics (based on the number of publications) are:

  • Gerhard P. Hochschild (8 papers) absent at the last edition,
  • Marvin Marcus (8 papers) absent at the last edition,
  • Morris Newman (7 papers) absent at the last edition,
  • Indranil Biswas (7 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Calixto P. Calderón (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.

Only papers with recognized affiliations are considered

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

  • University of Illinois at Urbana–Champaign (126 papers) published 2 papers at the last edition,
  • University of Wisconsin-Madison (45 papers) absent at the last edition,
  • Purdue University (38 papers) absent at the last edition,
  • Massachusetts Institute of Technology (38 papers) absent at the last edition,
  • University of California, Berkeley (35 papers) published 1 paper 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, 9.38% were posted by at least one author from the top 10 institutions publishing in the journal. Another 12.50% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 6.25% of all publications and 71.88% 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

  • The metric theory of the pair correlation function of real-valued lacunary sequences

    Zeév Rudnick;Niclas Technau

    (2020)
    15 Citations
  • Moduli Spaces for Dynamical Systems with Portraits

    John R. Doyle;Joseph H. Silverman

    (2020)
    8 Citations
  • Embedding and compact embedding of weighted Bergman spaces

    (2022)
    6 Citations
  • Denjoy–Wolff theory and spectral properties of weighted composition operators on Hol(D)

    (2022)
    4 Citations
  • Certain $*$ -homomorphisms of $C^{*}$ -algebras and sequences of semicircular elements: A Banach space view

    Ilwoo Cho;Palle E. T. Jorgensen

    (2020)
    4 Citations
  • Nonstandard stochastic control with nonlinear Feynman–Kac costs

    (2024)
    3 Citations
  • On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields

    Bryce Kerr;Jorge Mello;Igor E. Shparlinski

    (2021)
    2 Citations
  • A strong law of large numbers for positive random variables

    (2021)
    1 Citations
  • Phi, primorials, and Poisson

    Paul Pollack;Carl Pomerance

    (2020)
    1 Citations
  • Information theoretic parameters of non-commutative graphs and convex corners

    (2021)
    1 Citations

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Best Scientists Contributing to This Journal