A. B. Goncharov

6.6k citations
48 papers · 2.4k indexed · 3 hit papers · h-index 20
Topics
Advanced Algebra and Geometry (23 papers)Algebraic Geometry and Number Theory (22 papers)Algebraic structures and combinatorial models (18 papers)

In The Last Decade

A. B. Goncharov

45 papers receiving 2.3k citations

Hit Papers

Multiple polylogarithms, cyclotomy and modular complexes1998202620072016199820102006100200300400

Peers

A. B. Goncharov
Comparison fields: 5 of 65
  • Geometry and Topology 1.2k
  • Nuclear and High Energy Physics 1.0k
  • Mathematical Physics 723
  • Algebra and Number Theory 694
  • Statistical and Nonlinear Physics 476
Replace Dirk Kreimer with:
Dirk Kreimer Germany
Maxim Kontsevich France
A. U. Klimyk Ukraine
Yuri I. Manin Germany
Rahul Pandharipande United States
Sheldon Katz United States
James Stasheff United States
Frances Kirwan United Kingdom
Vladimir G. Turaev Russia
Vladimir Drinfeld United States
A. B. Goncharov relative to Dirk Kreimer Germany Dirk Kreimer's profile →
Citations per field
00.5×2.6×
Dirk Kreimer · 1×
Citations per year

Countries citing papers authored by A. B. Goncharov

Since Specialization
Citations

This map shows the geographic impact of A. B. Goncharov's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by A. B. Goncharov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. B. Goncharov more than expected).

Fields of papers citing papers by A. B. Goncharov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. B. Goncharov. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by A. B. Goncharov. The network helps show where A. B. Goncharov may publish in the future.

Co-authorship network of co-authors of A. B. Goncharov

This figure shows the co-authorship network connecting the top 25 collaborators of A. B. Goncharov. A scholar is included among the top collaborators of A. B. Goncharov based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with A. B. Goncharov. A. B. Goncharov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
#WorkIndexed citations
1 1
2
Flowback Data Evaluation at FORGE
2
3 1
4 34
5 48
6
A proof of the pentagon relation for the quantum dilogarithm
2
7
The quantum dilogarithm and unitary representations of the cluster mapping class groups
1
8 26
9 16
10 36
11 4
12 8
13 92
14 2
15 1
16 4
17
Methods of integral geometry and finding the relative orientation of identical particles arbitrarily arranged in a plane from their projections onto a straight line
2
18
Determination of the spatial orientation of arbitrarily arranged identical particles of unknown structure from their projections
24
19 7
20 10

About A. B. Goncharov

A. B. Goncharov is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics, having authored 48 papers that have together received 2.4k indexed citations. Recurring topics across this work include Advanced Algebra and Geometry (23 papers), Algebraic Geometry and Number Theory (22 papers) and Algebraic structures and combinatorial models (18 papers). The work is most often cited by research in Algebra and Number Theory (694 citations), Geometry and Topology (1.2k citations) and Discrete Mathematics and Combinatorics (401 citations). A. B. Goncharov has collaborated with scholars based in United States, Russia and Germany. Frequent co-authors include V. V. Fock, Marcus Spradlin, Anastasia Volovich, Cristian Vergu, Pierre Deligne, Richard Kenyon, John Golden, Yu. I. Manin, Mikhail S. Gelfand and B. K. Vaǐnshteǐn. Their work appears in journals such as Physical Review Letters, Journal of High Energy Physics and Inventiones mathematicae.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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