Alexander Vishik

666 total citations
19 papers, 224 citations indexed

About

Alexander Vishik is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Alexander Vishik has authored 19 papers receiving a total of 224 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Geometry and Topology, 13 papers in Mathematical Physics and 6 papers in Algebra and Number Theory. Recurrent topics in Alexander Vishik's work include Algebraic Geometry and Number Theory (14 papers), Advanced Algebra and Geometry (7 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Alexander Vishik is often cited by papers focused on Algebraic Geometry and Number Theory (14 papers), Advanced Algebra and Geometry (7 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Alexander Vishik collaborates with scholars based in United Kingdom, Russia and Germany. Alexander Vishik's co-authors include Vladimir Voevodsky, Dmitri Olegovich Orlov, Nobuaki Yagita, Michael Finkelberg, Bruno Kahn, Stefan Gille and Nikita A. Karpenko and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Inventiones mathematicae.

In The Last Decade

Alexander Vishik

18 papers receiving 208 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Alexander Vishik United Kingdom 8 216 178 57 33 15 19 224
Eknath Ghate India 9 149 0.7× 142 0.8× 44 0.8× 34 1.0× 19 1.3× 25 168
Guido Kings Germany 8 165 0.8× 151 0.8× 66 1.2× 22 0.7× 7 0.5× 23 174
David Loeffler United Kingdom 8 175 0.8× 168 0.9× 72 1.3× 37 1.1× 7 0.5× 27 183
Jacques Tilouine France 10 257 1.2× 245 1.4× 130 2.3× 32 1.0× 8 0.5× 22 266
Peter Symonds United Kingdom 9 172 0.8× 141 0.8× 73 1.3× 52 1.6× 18 1.2× 39 203
Kirill Zainoulline Canada 8 187 0.9× 160 0.9× 44 0.8× 75 2.3× 11 0.7× 37 192
G. K. Sankaran United Kingdom 8 174 0.8× 158 0.9× 41 0.7× 24 0.7× 7 0.5× 35 191
Olivier Wittenberg France 9 178 0.8× 118 0.7× 52 0.9× 21 0.6× 41 2.7× 22 182
Ian J. Leary United Kingdom 9 226 1.0× 208 1.2× 44 0.8× 72 2.2× 17 1.1× 39 241
Adrian Iovita Canada 10 219 1.0× 211 1.2× 76 1.3× 17 0.5× 19 1.3× 26 231

Countries citing papers authored by Alexander Vishik

Since Specialization
Citations

This map shows the geographic impact of Alexander Vishik'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 Vishik with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Vishik more than expected).

Fields of papers citing papers by Alexander Vishik

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander Vishik. 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 Vishik. The network helps show where Alexander Vishik may publish in the future.

Co-authorship network of co-authors of Alexander Vishik

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Vishik. A scholar is included among the top collaborators of Alexander Vishik 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 Vishik. Alexander Vishik is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

19 of 19 papers shown
1.
Vishik, Alexander, et al.. (2025). On the Balmer spectrum of the Morel–Voevodsky category. Duke Mathematical Journal. 174(6).
2.
Vishik, Alexander. (2024). Isotropic and numerical equivalence for Chow groups and Morava K-theories. Inventiones mathematicae. 237(2). 779–808. 2 indexed citations
3.
Vishik, Alexander. (2023). Torsion Motives. International Mathematics Research Notices. 2023(23). 20252–20295. 1 indexed citations
4.
Vishik, Alexander. (2022). On isotropic and numerical equivalence of cycles. Selecta Mathematica. 29(1). 1 indexed citations
5.
Vishik, Alexander. (2020). ISOTROPIC MOTIVES. Journal of the Institute of Mathematics of Jussieu. 21(4). 1271–1330. 7 indexed citations
6.
Vishik, Alexander. (2019). Stable and unstable operations in algebraic cobordism. Annales Scientifiques de l École Normale Supérieure. 1(52). 561–630. 8 indexed citations
7.
Gille, Stefan & Alexander Vishik. (2018). Rost Nilpotence and Free Theories. Documenta Mathematica. 23. 1635–1657. 6 indexed citations
8.
Vishik, Alexander. (2015). Algebraic Cobordism as a module over the Lazard ring. Mathematische Annalen. 363(3-4). 973–983. 3 indexed citations
9.
Vishik, Alexander. (2015). Symmetric operations for all primes and Steenrod operations in algebraic cobordism. Compositio Mathematica. 152(5). 1052–1070. 3 indexed citations
10.
Vishik, Alexander. (2011). Excellent connections in the motives of quadrics. Annales Scientifiques de l École Normale Supérieure. 44(1). 183–195. 7 indexed citations
11.
Vishik, Alexander, et al.. (2008). Motivic splitting lemma. Documenta Mathematica. 13. 81–96. 6 indexed citations
12.
Vishik, Alexander. (2007). Symmetric operations in algebraic cobordism. Advances in Mathematics. 213(2). 489–552. 22 indexed citations
13.
Vishik, Alexander. (2007). Generic points of quadrics and Chow groups. manuscripta mathematica. 122(3). 365–374. 8 indexed citations
14.
Vishik, Alexander & Nobuaki Yagita. (2007). Algebraic cobordisms of a Pfister quadric. Journal of the London Mathematical Society. 76(3). 586–604. 20 indexed citations
15.
Orlov, Dmitri Olegovich, Alexander Vishik, & Vladimir Voevodsky. (2007). An exact sequence for K∗M∕2 with applications to quadratic forms. Annals of Mathematics. 165(1). 1–13. 74 indexed citations
16.
Vishik, Alexander. (2005). On the Chow groups of quadratic Grassmannians. Documenta Mathematica. 10. 111–130. 31 indexed citations
17.
Kahn, Bruno, et al.. (2004). Geometric Methods in the Algebraic Theory of Quadratic Forms. Lecture notes in mathematics. 12 indexed citations
18.
Vishik, Alexander. (2000). On the dimensions of quadratic forms. Max Planck Institute for Plasma Physics. 373(4). 445–447. 4 indexed citations
19.
Vishik, Alexander & Michael Finkelberg. (1993). The Coordinate Ring of General Curve of Genus g≥5 Is Koszul. Journal of Algebra. 162(2). 535–539. 9 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.

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