Algebraic and Geometric Topology

Top Research Topics at Algebraic & Geometric Topology?

The foci of the journal are Pure mathematics, Combinatorics, Homotopy, Homology (mathematics) and Invariant (mathematics). The work tackled in the journal goes beyond the discipline of Pure mathematics as it also encompasses Group (mathematics). Topics like Knot (mathematics), Genus (mathematics), Fundamental group, Floer homology and Graph are tackled as part of the discussions on Combinatorics.

It is focused mainly on Homotopy, particularly Homotopy group.

• Pure mathematics (57.30%)
• Combinatorics (31.72%)
• Homotopy (13.38%)

What are the most cited papers published in the journal?

• Coverage in sensor networks via persistent homology (354 citations)
• On Khovanov's categorification of the Jones polynomial (323 citations)
• A functor-valued invariant of tangles (283 citations)

Research areas of the most cited articles at Algebraic & Geometric Topology:

The most cited articles explore disciplines such as Pure mathematics, Combinatorics, Homology (mathematics), Discrete mathematics and Homotopy. The journal articles explore topics in Combinatorics which can be helpful for research in disciplines like Knot theory, Knot polynomial, Skein relation and Knot invariant. Issues in Homotopy were discussed in the most cited articles, taking into consideration concepts from other disciplines like Functor and Algebra.

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

• Pure mathematics
• Algebra
• Topology

The previous edition focused in particular on these issues:

The journal was organized to reinforce research efforts on Pure mathematics, Combinatorics, Homology (mathematics), Homotopy and Group (mathematics). Structure (category theory) and Algebraic number are some topics wherein Pure mathematics research discussed in it have an impact. In it, Iterated function, Filtration (mathematics), Class (set theory), Space (mathematics) and Function (mathematics) are investigated in conjunction with one another to address concerns in Combinatorics research.

Some problems in Homology (mathematics) that were presented in it overlapped with concepts under Order (ring theory), Magnitude (mathematics), Surface (mathematics), Euclidean geometry and Power series. The Homotopy works featured in Algebraic & Geometric Topology incorporate elements from Ring (mathematics), Smash product and Fundamental group. The work on Group (mathematics) tackled in it brings together disciplines like Property (philosophy), Invariant (mathematics), Projection (mathematics) and Cube.

The most cited articles from the last journal are:

• Rigidity in etale motivic stable homotopy theory (4 citations)
• An exotic presentation of Q28 (3 citations)
• Homological stability for moduli spaces of disconnected submanifolds, I (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 Algebraic & Geometric Topology (based on the number of publications) are:

• Jie Wu (14 papers) absent at the last edition,
• Charles Livingston (8 papers) absent at the last edition,
• Stavros Garoufalidis (8 papers) absent at the last edition,
• Jessica S. Purcell (7 papers) absent at the last edition,
• John Greenlees (7 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 Algebraic & Geometric Topology (based on the number of publications) are:

• University of Texas at Austin (41 papers) absent at the last edition,
• Max Planck Society (34 papers) published 2 papers at the last edition, 2 less than at the previous edition,
• Indiana University (31 papers) published 1 paper at the last edition,
• Columbia University (28 papers) published 1 paper at the last edition the same number as at the previous edition,
• Massachusetts Institute of Technology (28 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, 9.09% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 20.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 10.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 8.00% of all publications and 62.00% 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.