Mathematische Annalen

Top Research Topics at Mathematische Annalen?

The journal investigates studies in Pure mathematics, Mathematical analysis, Combinatorics, Algebra and Discrete mathematics. The main emphasis of the journal is the research on Pure mathematics, emphasizing the topic of Holomorphic function.

• Pure mathematics (30.08%)
• Mathematical analysis (16.32%)
• Combinatorics (11.82%)

What are the most cited papers published in the journal?

• Factoring Polynomials with Rational Coefficients (3187 citations)
• Über die partiellen Differenzengleichungen der mathematischen Physik (2739 citations)
• Zur Theorie der Gesellschaftsspiele (1654 citations)

Research areas of the most cited articles at Mathematische Annalen:

The most cited papers mainly tackle studies in Pure mathematics, Mathematical analysis, Algebra, Combinatorics and Discrete mathematics. The presentations in the most cited articles discussing Pure mathematics offer insights in topics such as Holomorphic function and Cohomology. The journal articles focus on Mathematical analysis but the discussions also offer insight into other areas such as Curvature and Scalar curvature.

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

• Mathematical analysis
• Pure mathematics
• Algebra

The previous edition focused in particular on these issues:

The journal primarily focuses on research topics in Pure mathematics, Combinatorics, Bounded function, Conjecture and Mathematical analysis. Topics in Pure mathematics were tackled in line with various other fields like Type (model theory), Group (mathematics) and Boundary (topology). It connects the study in Boundary (topology) with the closely related area of Domain (mathematical analysis).

It addresses concerns in Combinatorics which are intertwined with other disciplines, such as Sequence and Invariant (mathematics). The majority of Mathematical analysis studies in it are focused on the subject of Space (mathematics).

The most cited articles from the last journal are:

• Normalized solutions for a coupled Schrödinger system (17 citations)
• Log-concavity of volume and complex Monge–Ampère equations with prescribed singularity (15 citations)
• Martingale optimal transport duality (13 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 Mathematische Annalen (based on the number of publications) are:

• Felix Klein (66 papers) absent at the last edition,
• David Hilbert (36 papers) absent at the last edition,
• Adolf Hurwitz (34 papers) absent at the last edition,
• Oskar Perron (29 papers) absent at the last edition,
• John Erik Fornæss (29 papers) published 1 paper 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 Mathematische Annalen (based on the number of publications) are:

• University of Bonn (169 papers) published 3 papers at the last edition the same number as at the previous edition,
• University of Paris (158 papers) published 4 papers at the last edition, 2 more than at the previous edition,
• Princeton University (136 papers) published 3 papers at the last edition, 2 more than at the previous edition,
• University of Münster (126 papers) published 1 paper at the last edition the same number as at the previous edition,
• University of Tokyo (99 papers) published 4 papers at the last edition, 3 more 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, 3.67% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 10.59% were posted by at least one author from the top 10 institutions publishing in the journal. Another 6.36% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 15.25% of all publications and 67.80% 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.