Advances in Geometry

Top Research Topics at Advances in Geometry?

Pure mathematics, Combinatorics, Mathematical analysis, Discrete mathematics and Geometry are among the topics commonly tackled in Advances in Geometry. Advances in Geometry addresses concerns in Pure mathematics which are intertwined with other disciplines, such as Space (mathematics), Type (model theory) and Group (mathematics). The journal holds forums on Combinatorics that merges themes from other disciplines such as Upper and lower bounds, Order (group theory), Convex body and Regular polygon.

The Mathematical analysis study featured in it draws connections with the study of Curvature.

• Pure mathematics (42.36%)
• Combinatorics (31.08%)
• Mathematical analysis (14.87%)

What are the most cited papers published in the journal?

• The tropical Grassmannian (458 citations)
• The moment problem for non-compact semialgebraic sets (98 citations)
• Rational maps in real algebraic geometry (62 citations)

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

The most cited articles are organized to address concerns in the fields of Combinatorics, Pure mathematics, Discrete mathematics, Mathematical analysis and Algebra. The published papers with studies in Combinatorics featured incorporate elements of Type (model theory), Square (algebra) and Line (geometry). In addition to Pure mathematics research, the published articles aim to explore topics under Space (mathematics), Structure (category theory) and Class (set theory).

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

• Geometry
• Mathematical analysis
• Algebra

The previous edition focused in particular on these issues:

The aim of the journal is to expand the discussion of research in Pure mathematics, Combinatorics, Space (mathematics), Mathematical analysis and Automorphism. Advances in Geometry centers on topics in Pure mathematics, with a focus on Torsion (algebra). The concepts on Combinatorics presented in Advances in Geometry can also apply to other research fields, including Tetrahedron and Cone (topology).

The research on Space (mathematics) featured in Advances in Geometry combines topics in other fields like Discrete mathematics, Surface (topology), Bonnet theorem and Minkowski space. The Mathematical analysis study presented in it encompasses related topics like Riemannian manifold and Heat equation and also examines its connection to subjects such as Power (physics) and Oscillation. The Automorphism research presented in it explores the relationship between Hermitian matrix and the closely related topic of Commutative property.

The most cited articles from the last journal are:

• The motivic Igusa zeta function of a space monomial curve with a plane semigroup (2 citations)
• Rational conic fibrations of sectional genus two (2 citations)
• The dual cone of sums of non-negative circuit polynomials (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.

Top authors and change over time

The top authors publishing in Advances in Geometry (based on the number of publications) are:

• Antonio Cossidente (8 papers) absent at the last edition,
• Edoardo Ballico (7 papers) absent at the last edition,
• Ulrich Dempwolff (6 papers) absent at the last edition,
• Tudor Zamfirescu (6 papers) absent at the last edition,
• Leo Storme (5 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 Advances in Geometry (based on the number of publications) are:

• Ghent University (15 papers) absent at the last edition,
• National Autonomous University of Mexico (10 papers) published 1 paper at the last edition,
• University of Trento (9 papers) published 1 paper at the last edition the same number as at the previous edition,
• Technical University of Dortmund (7 papers) published 2 papers at the last edition,
• Tel Aviv University (7 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, 8.47% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 11.11% were posted by at least one author from the top 10 institutions publishing in the journal. Another 7.41% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 22.22% of all publications and 59.26% 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.