Algebra and Number Theory

Top Research Topics at Algebra & Number Theory?

The journal covers a variety of subjects, including Pure mathematics, Combinatorics, Conjecture, Discrete mathematics and Group (mathematics). Pure mathematics and Algebraic number are closely related fields of research discussed in Algebra & Number Theory. Algebraic number field, Prime (order theory) and Integer are all subfields of Combinatorics research that were featured in it.

The majority of Abelian group studies presented zero in on Abelian variety.

• Pure mathematics (67.84%)
• Combinatorics (19.79%)
• Conjecture (14.96%)

What are the most cited papers published in the journal?

• Specialization of linear systems from curves to graphs (211 citations)
• Symmetric Obstruction Theories and Hilbert Schemes of Points on Threefolds (165 citations)
• Gentle algebras arising from surface triangulations (152 citations)

Research areas of the most cited articles at Algebra & Number Theory:

The most cited publications cover a variety of subjects, including Pure mathematics, Discrete mathematics, Combinatorics, Conjecture and Algebra. In addition to Pure mathematics research, the published papers aim to explore topics under Type (model theory), Algebraic number and Group (mathematics). The most cited papers explore issues in Combinatorics which can be linked to other research areas like Algebraic curve and Bounded function.

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

• Pure mathematics
• Algebra
• Combinatorics

The previous edition focused in particular on these issues:

The topics of Pure mathematics, Conjecture, Combinatorics, Degree (graph theory) and Vector bundle are the focal point of discussions in the journal. The research on Pure mathematics tackled can also make contributions to studies in the areas of Ring (mathematics), Algebraic number and Group (mathematics). Topics in Conjecture were tackled in line with various other fields like Galois module, Codimension, Subspace theorem, Algebraic number field and Multiple.

In addition to Combinatorics research, the journal aims to explore topics under Riemann zeta function, Monic polynomial, Thin set and Cubic function. The journal addresses concerns in the field of Degree (graph theory) by exploring it in line with topics in Fano plane which intersect with Logarithm, Uncountable set, Rational point, Hypersurface and Torsion (algebra) subjects. Algebra & Number Theory focuses on Vector bundle but the discussions also offer insight into other areas such as Toric variety, Simple (abstract algebra), Transformation (function), Riemann hypothesis and K-theory.

The most cited articles from the last journal are:

• Functional transcendence for the unipotent Albanese map (6 citations)
• Patching and multiplicity 2k for Shimura curves (5 citations)
• Torsion orders of Fano hypersurfaces (3 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 Algebra & Number Theory (based on the number of publications) are:

• Samir Siksek (9 papers) absent at the last edition,
• Sam Payne (6 papers) published 1 paper at the last edition,
• Daniel Erman (5 papers) absent at the last edition,
• Terence Tao (5 papers) absent at the last edition,
• Amalendu Krishna (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 Algebra & Number Theory (based on the number of publications) are:

• University of Michigan (34 papers) published 1 paper at the last edition, 1 less than at the previous edition,
• Massachusetts Institute of Technology (24 papers) absent at the last edition,
• University of British Columbia (19 papers) absent at the last edition,
• University of Warwick (18 papers) absent at the last edition,
• University of California, Los Angeles (17 papers) published 1 paper at the last edition the same number as 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, 13.46% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 6.67% were posted by at least one author from the top 10 institutions publishing in the journal. Another 11.11% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 37.78% of all publications and 44.44% 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.