Alexander Kiselev

4.4k total citations · 1 hit paper
78 papers, 2.6k citations indexed

About

Alexander Kiselev is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Alexander Kiselev has authored 78 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Mathematical Physics, 32 papers in Applied Mathematics and 19 papers in Computational Theory and Mathematics. Recurrent topics in Alexander Kiselev's work include Spectral Theory in Mathematical Physics (26 papers), Navier-Stokes equation solutions (24 papers) and Advanced Mathematical Physics Problems (22 papers). Alexander Kiselev is often cited by papers focused on Spectral Theory in Mathematical Physics (26 papers), Navier-Stokes equation solutions (24 papers) and Advanced Mathematical Physics Problems (22 papers). Alexander Kiselev collaborates with scholars based in United States, France and Singapore. Alexander Kiselev's co-authors include Michael Christ, Fëdor Nazarov, Lenya Ryzhik, Alexander Volberg, Peter Constantin, Andrej Zlatoš, Leonid Ryzhik, Barry Simon, Yoram Last and Michael Socolich and has published in prestigious journals such as Science, Neuron and Biochemistry.

In The Last Decade

Alexander Kiselev

75 papers receiving 2.4k citations

Hit Papers

Global well-posedness for the critical 2D dissipative qua... 2006 2026 2012 2019 2006 50 100 150 200 250
What are hit papers?

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.

  1. Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
    2006 293 citations Alexander Kiselev et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alexander Kiselev United States 26 1.4k 1.2k 512 348 348 78 2.6k
Piotr Biler Poland 28 783 0.6× 963 0.8× 694 1.4× 264 0.8× 136 0.4× 81 2.2k
J. B. McLeod United States 23 417 0.3× 856 0.7× 536 1.0× 555 1.6× 126 0.4× 65 2.5k
S. P. Hastings United States 24 358 0.3× 279 0.2× 314 0.6× 835 2.4× 156 0.4× 91 1.9k
Jean Dolbeault France 29 1.3k 0.9× 2.2k 1.8× 1.2k 2.4× 486 1.4× 272 0.8× 168 3.2k
Bernold Fiedler Germany 27 313 0.2× 244 0.2× 373 0.7× 938 2.7× 82 0.2× 95 2.2k
P. Rabinowitz Israel 13 949 0.7× 2.9k 2.4× 1.8k 3.5× 266 0.8× 112 0.3× 30 3.5k
Arnd Scheel United States 27 321 0.2× 167 0.1× 323 0.6× 911 2.6× 184 0.5× 114 2.2k
M. Sammartino Italy 21 419 0.3× 764 0.6× 188 0.4× 208 0.6× 634 1.8× 68 1.6k
T. Kato Japan 11 735 0.5× 979 0.8× 123 0.2× 76 0.2× 521 1.5× 17 1.6k
Neil Fenichel Canada 8 436 0.3× 162 0.1× 131 0.3× 1.9k 5.5× 248 0.7× 11 3.1k

Countries citing papers authored by Alexander Kiselev

Since Specialization
Citations

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

Fields of papers citing papers by Alexander Kiselev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexander Kiselev

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Kiselev. A scholar is included among the top collaborators of Alexander Kiselev 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 Kiselev. Alexander Kiselev 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
1.
Kiselev, Alexander, et al.. (2025). Finite time blow-up in a 1D model of the incompressible porous media equation. Nonlinearity. 38(5). 55018–55018. 1 indexed citations
2.
Kiselev, Alexander, et al.. (2025). From prey to predator: an in-situ observation of microplastic trophic transfer from Mytilus edulis to Asterias rubens. Marine Pollution Bulletin. 218. 118211–118211.
3.
Kiselev, Alexander, et al.. (2024). Small scale formation for the 2-dimensional Boussinesq equation. Analysis & PDE. 18(1). 171–198. 1 indexed citations
4.
Kiselev, Alexander & Changhui Tan. (2022). The Flow of Polynomial Roots Under Differentiation. 8(2). 5 indexed citations
5.
Kiselev, Alexander, et al.. (2022). Stirring speeds up chemical reaction. Nonlinearity. 35(8). 4599–4623. 4 indexed citations
6.
Kiselev, Alexander & Changhui Tan. (2022). Global Regularity for a Nonlocal PDE Describing Evolution of Polynomial Roots Under Differentiation. SIAM Journal on Mathematical Analysis. 54(3). 3161–3191. 3 indexed citations
7.
Kiselev, Alexander, et al.. (2021). Boundary layer models of the Hou-Luo scenario. Journal of Differential Equations. 298. 182–204. 2 indexed citations
8.
Buckmaster, Tristan, Sunčica Čanić, Peter Constantin, & Alexander Kiselev. (2020). Progress in Mathematical Fluid Dynamics. Lecture notes in mathematics. 5 indexed citations
9.
Kiselev, Alexander & Changhui Tan. (2018). Global Regularity for 1D Eulerian Dynamics with Singular Interaction Forces. SIAM Journal on Mathematical Analysis. 50(6). 6208–6229. 17 indexed citations
10.
Kiselev, Alexander & Changhui Tan. (2017). Finite time blow up in the hyperbolic Boussinesq system. Advances in Mathematics. 325. 34–55. 18 indexed citations
11.
Kiselev, Alexander. (2005). Imbedded singular continuous spectrum for Schrödinger operators. Journal of the American Mathematical Society. 18(3). 571–603. 11 indexed citations
12.
Kiselev, Alexander, et al.. (2003). Stability of singular spectral types under decaying perturbations. Journal of Functional Analysis. 198(1). 1–27. 13 indexed citations
13.
Christ, Michael & Alexander Kiselev. (2003). Absolutely continuous spectrum of Stark operators. Arkiv för matematik. 41(1). 1–33. 7 indexed citations
14.
Christ, Michael & Alexander Kiselev. (2001). Maximal Functions Associated to Filtrations. Journal of Functional Analysis. 179(2). 409–425. 224 indexed citations
15.
Kiselev, Alexander, Michael Socolich, Javier Vinós, et al.. (2000). A Molecular Pathway for Light-Dependent Photoreceptor Apoptosis in Drosophila. Neuron. 28(1). 139–152. 207 indexed citations
16.
Christ, Michael & Alexander Kiselev. (1998). Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Journal of the American Mathematical Society. 11(4). 771–797. 60 indexed citations
17.
Kiselev, Alexander. (1997). Some Examples in One-Dimensional “Geometric” Scattering on Manifolds. Journal of Mathematical Analysis and Applications. 212(1). 263–280. 8 indexed citations
18.
Kiselev, Alexander & Barry Simon. (1995). Rank One Perturbations with Infinitesimal Coupling. Journal of Functional Analysis. 130(2). 345–356. 45 indexed citations
19.
Kiselev, Alexander & B. S. Pavlov. (1994). Essential spectrum of the Laplacian for the Neumann problem in a model region of complicated structure. Theoretical and Mathematical Physics. 99(1). 383–395. 2 indexed citations
20.
Попов, В. Н. & Alexander Kiselev. (1974). Diagram technique in general perturbation theory. SPhD. 18. 704.

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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