Inventiones Mathematicae

Top Research Topics at Inventiones Mathematicae?

Inventiones Mathematicae explores disciplines such as Pure mathematics, Mathematical analysis, Combinatorics, Algebra and Discrete mathematics. Inventiones Mathematicae covers various topics on Pure mathematics such as Conjecture, Cohomology, Invariant (mathematics), Holomorphic function and Moduli space.

• Pure mathematics (47.11%)
• Mathematical analysis (21.65%)
• Combinatorics (18.48%)

What are the most cited papers published in the journal?

• Pseudo holomorphic curves in symplectic manifolds (1829 citations)
• Ordinary differential equations, transport theory and Sobolev spaces. (1656 citations)
• Representations of Coxeter Groups and Hecke Algebras. (1541 citations)

Research areas of the most cited articles at Inventiones Mathematicae:

The most cited articles explore disciplines such as Pure mathematics, Mathematical analysis, Algebra, Discrete mathematics and Combinatorics. The Pure mathematics research presented in the most cited papers places emphasis on topics like Conjecture, Cohomology, Moduli space, Lie group and Symplectic geometry. Manifold is a major topic of Mathematical analysis research in the most cited publications.

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 focuses largely on the fields of Pure mathematics, Conjecture, Combinatorics, Abelian group and Boundary (topology). The overlapping concepts between Algebraic number and Equivalence (measure theory) are the key highlights of Pure mathematics study. The Conjecture works featured in Inventiones Mathematicae incorporate elements from Genus (mathematics), Zero (complex analysis), Bounded function, Generalization and Classical group.

Aside from discussions in Combinatorics, the journal also deals with the subject of Geometric topology which intersects with Group theory disciplines. Inventiones Mathematicae connects the study in Abelian group with the closely related area of Moduli space. Most of the works presented in the journal deals with Boundary (topology) but it intersects with the subject of Mathematical analysis.

The most cited articles from the last journal are:

• Existence and uniqueness of the Liouville quantum gravity metric for \gamma \in (0,2) (50 citations)
• Linear stability of slowly rotating Kerr black holes (26 citations)
• Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation (25 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 Inventiones Mathematicae (based on the number of publications) are:

• Masaki Kashiwara (14 papers) absent at the last edition,
• Henryk Iwaniec (14 papers) absent at the last edition,
• Enrico Bombieri (13 papers) absent at the last edition,
• David Eisenbud (13 papers) absent at the last edition,
• Joe Harris (13 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 Inventiones Mathematicae (based on the number of publications) are:

• Princeton University (201 papers) published 4 papers at the last edition,
• University of Paris (155 papers) published 2 papers at the last edition, 2 less than at the previous edition,
• Massachusetts Institute of Technology (139 papers) published 4 papers at the last edition, 2 less than at the previous edition,
• Harvard University (124 papers) absent at the last edition,
• University of California, Berkeley (117 papers) published 1 paper at the last edition, 1 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, 2.33% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 20.24% were posted by at least one author from the top 10 institutions publishing in the journal. Another 7.14% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 26.19% of all publications and 46.43% 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.