Alexander Varchenko

9.3k citations
168 papers · 4.2k · 2 hit papers · h-index 30

Impact in

    • Algebraic structures and combinatorial models
    • Algebraic Geometry and Number Theory
    • Advanced Differential Equations and Dynamical Systems
    • Advanced Topics in Algebra

Papers in

Alexander Varchenko

143 papers receiving 3.7k citations

Alexander Varchenko's Hit Papers

Singularities of Differentiable Maps 1988 · 806 citations
8060+13+27Years since publication250500750

Peers

Alexander Varchenko
Comparison fields: 5 of 86
  • Geometry and Topology 3.0k
  • Algebra and Number Theory 1.2k
  • Discrete Mathematics and Combinatorics 637
  • Mathematical Physics 1.5k
  • Statistical and Nonlinear Physics 1.5k
Replace Mikhail Kapranov with:
Mikhail Kapranov United States
Yu. I. Manin Russia
Masaki Kashiwara Japan
Peter J. Forrester Australia
Nolan R. Wallach United States
Shlomo Sternberg United States
Dennis Sullivan France
Andrei Zelevinsky United States
Don Zagier Germany
Raoul Bott United States
Alexander Varchenko relative to Mikhail Kapranov United States Mikhail Kapranov's profile →
Citations per field
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Mikhail Kapranov · 1×
Citations per year

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authors

The 25 scholars most cited alongside Alexander Varchenko, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Alexander Varchenko Line = papers co-authored together Alexander Varchenko links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 168 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Singularities of Differentiable Maps
Hit paper breakdown →
1988806
2
Singularities of Differentiable Maps
Hit paper breakdown →
1985648
3 1991198
4 1976107
5 1976107
6 199591
7 198284
8 198481
9 199872
10 200070
11 201268
12 199567
13 200960
14 199858
15 199657
16 199954
17 200051
18 200249
19 199749
20 199048

About Alexander Varchenko

Alexander Varchenko is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics, Algebra and Number Theory, Mathematical Physics and Discrete Mathematics and Combinatorics, having authored 168 papers that have together received 4.2k indexed citations. Recurring topics across this work include Algebraic structures and combinatorial models (98 papers), Nonlinear Waves and Solitons (67 papers), Advanced Topics in Algebra (59 papers), Advanced Algebra and Geometry (43 papers), Advanced Combinatorial Mathematics (31 papers), Algebraic Geometry and Number Theory (19 papers), Advanced Differential Equations and Dynamical Systems (12 papers) and Mathematics and Applications (9 papers). The work is most often cited by research in Geometry and Topology (3.0k citations), Algebra and Number Theory (1.2k citations), Discrete Mathematics and Combinatorics (637 citations), Mathematical Physics (1.5k citations) and Statistical and Nonlinear Physics (1.5k citations). Alexander Varchenko has collaborated with scholars based in United States, Russia and Switzerland. Frequent co-authors include S. M. Gusein‐Zade, Vladimir I. Arnold, Vadim Schechtman, Giovanni Felder, Pavel Etingof, E. Mukhin, V. Tarasov, Richárd Rimányi, Vitaly Tarasov and Sergei Chmutov. Their work appears in journals such as Communications in Mathematical Physics, Moscow Mathematical Journal, International Mathematics Research Notices, Letters in Mathematical Physics and Advances in Mathematics.

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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