Journal für die Reine und Angewandte Mathematik

Top Research Topics at Crelle's Journal?

The topics of Pure mathematics, Algebra, Mathematical analysis, Discrete mathematics and Combinatorics are the focal point of discussions in the journal. Crelle's Journal is focused mainly on Pure mathematics, particularly Conjecture.

• Pure mathematics (32.42%)
• Algebra (11.32%)
• Mathematical analysis (11.26%)

What are the most cited papers published in the journal?

• On the Contact of Elastic Solids (2644 citations)
• Ueber die Berührung fester elastischer Körper. (2429 citations)
• Nouvelles applications des paramètres continus à théorie des formes quadratiques. Deuxième Mémoire. Recherches sur les paralléloèdres primitifs. (1535 citations)

Research areas of the most cited articles at Crelle's Journal:

The published papers investigate areas of study like Pure mathematics, Mathematical analysis, Algebra, Discrete mathematics and Combinatorics. Type (model theory) and Group (mathematics) are some topics wherein Pure mathematics research discussed in the journal publications has an impact.

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

• Mathematical analysis
• Pure mathematics
• Quantum mechanics

The previous edition focused in particular on these issues:

The journal covers a variety of subjects, including Pure mathematics, Combinatorics, Conjecture, Type (model theory) and Abelian group. Pure mathematics research presented in Crelle's Journal encompasses a variety of subjects, including Bounded function and Group (mathematics). In the journal, Variety (universal algebra), Reductive group and Homogeneous space are investigated in conjunction with one another to address concerns in Combinatorics research.

It focuses on Conjecture but the discussions also offer insight into other areas such as Projective variety, Elliptic curve, Modular form and Rank (linear algebra). It explores issues in Abelian group which can be linked to other research areas like Sheaf, Moduli space and Field (mathematics). While Crelle's Journal focused on Cohomology, it was also able to explore topics like Eisenstein series and Degree (graph theory).

The most cited articles from the last journal are:

• Conformality for a robust class of non-conformal attractors (12 citations)
• On the rotational symmetry of 3-dimensional $κ$-solutions (10 citations)
• The metric geometry of singularity types (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 Crelle's Journal (based on the number of publications) are:

• Arthur Cayley (50 papers) absent at the last edition,
• Carl Gustav Jacob Jacobi (33 papers) absent at the last edition,
• Th. Clausen (31 papers) absent at the last edition,
• G. Lejeune Dirichlet (29 papers) absent at the last edition,
• M. Stern (24 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 Crelle's Journal (based on the number of publications) are:

• Max Planck Society (88 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• University of California, San Diego (13 papers) published 3 papers at the last edition, 1 less than at the previous edition,
• Princeton University (12 papers) absent at the last edition,
• Institut de Mathématiques de Jussieu (12 papers) published 1 paper at the last edition,
• Rutgers University (12 papers) published 1 paper at the last edition, 5 less than 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, 2.02% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 15.46% were posted by at least one author from the top 10 institutions publishing in the journal. Another 10.31% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 18.56% of all publications and 55.67% 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.