Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies
if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the
same subfield and year (this is the minimum needed to enter the top 1%, not the average
within it), or reaches the top citation threshold in at least one of its specific research
topics.
Singularities of Differentiable Maps
1988806 citationsVladimir I. Arnold, S. M. Gusein‐Zade et al.profile →
Singularities of Differentiable Maps
1985648 citationsVladimir I. Arnold, S. M. Gusein‐Zade et al.profile →
Peers — A (Enhanced Table)
Peers by citation overlap · career bar shows stage (early→late)
cites ·
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Countries citing papers authored by Alexander Varchenko
Since
Specialization
Citations
This map shows the geographic impact of Alexander Varchenko'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 Alexander Varchenko with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Varchenko more than expected).
Fields of papers citing papers by Alexander Varchenko
This network shows the impact of papers produced by Alexander Varchenko. 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 Alexander Varchenko. The network helps show where Alexander Varchenko may publish in the future.
Co-authorship network of co-authors of Alexander Varchenko
This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Varchenko.
A scholar is included among the top collaborators of Alexander Varchenko 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 Alexander Varchenko. Alexander Varchenko is excluded from
the visualization to improve readability, since they are connected to all nodes in the network.
Schechtman, Vadim & Alexander Varchenko. (2017). Rational differential forms on the line and singular vectors in Verma modules over sl. Moscow Mathematical Journal. 17(4). 787–802.1 indexed citations
Arnold, Vladimir I., Alexander Varchenko, Alexander Givental, & Askold Khovanskiĭ. (2012). Singularities of functions, wave fronts, caustics and multidimensional integrals.2 indexed citations
Арнольд, Владимир Игоревич, Alexander Givental, Boris Khesin, et al.. (2009). Representations of functions, celestial mechanics and KAM theory, 1957-1965. Springer eBooks.1 indexed citations
9.
Mukhin, E. & Alexander Varchenko. (2006). Spaces of quasi-polynomials and the Bethe Ansatz. arXiv (Cornell University).3 indexed citations
Barlet, Daniel & Alexander Varchenko. (1988). Around the intersection form of an isolated singularity of hypersurface. Compositio Mathematica. 67(2). 149–163.1 indexed citations
15.
Арнольд, Владимир Игоревич, Alexander Varchenko, & S. M. Gusein‐Zade. (1986). Monodromie et comportement asymptotique des intégrales.2 indexed citations
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.