Alexander Polishchuk

2.7k total citations
77 papers, 807 citations indexed

About

Alexander Polishchuk is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Alexander Polishchuk has authored 77 papers receiving a total of 807 indexed citations (citations by other indexed papers that have themselves been cited), including 71 papers in Geometry and Topology, 49 papers in Mathematical Physics and 20 papers in Algebra and Number Theory. Recurrent topics in Alexander Polishchuk's work include Algebraic Geometry and Number Theory (44 papers), Algebraic structures and combinatorial models (40 papers) and Advanced Algebra and Geometry (30 papers). Alexander Polishchuk is often cited by papers focused on Algebraic Geometry and Number Theory (44 papers), Algebraic structures and combinatorial models (40 papers) and Advanced Algebra and Geometry (30 papers). Alexander Polishchuk collaborates with scholars based in United States, Russia and South Korea. Alexander Polishchuk's co-authors include Eric Zaslow, Alexey Bondal, Leonid Positselski, Albert Schwarz, Dan Abramovich, David Kazhdan, Yankı Lekili, Alexander Kuznetsov, Arkady Vaintrob and Pavel Etingof and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Alexander Polishchuk

64 papers receiving 714 citations

Peers

Alexander Polishchuk

ANT

SNP

NHEP

Jiang-Hua Lu Hong Kong

Dennis Gaitsgory United States

Alexey Bondal Russia

Antun Milas United States

Ludmil Katzarkov United States

Sergey Shadrin Netherlands

Alexander Beilinson United States

Michael Finkelberg Russia

Ben Webster United States

Éric Vasserot France

Jiang-Hua Lu Hong Kong

Alexander Polishchuk

604 ×0.8

565 ×1.1

504 ×1.8

ANT

156 ×0.8

SNP

34 ×0.5

NHEP

Citations per year, relative to Alexander Polishchuk Alexander Polishchuk (= 1×) peers Jiang-Hua Lu

Countries citing papers authored by Alexander Polishchuk

Since Specialization

Citations

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

Fields of papers citing papers by Alexander Polishchuk

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexander Polishchuk

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

All Works

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20 of 20 papers shown

Kazhdan, David, et al.. (2024). Schmidt Rank and Singularities. Ukrainian Mathematical Journal. 75(9). 1420–1442.

Bruzzo, Ugo, Daniel Hernández Ruipérez, & Alexander Polishchuk. (2023). Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes. Advances in Mathematics. 415. 108890–108890. 6 indexed citations

Lekili, Yankı & Alexander Polishchuk. (2023). Homological mirror symmetry for the symmetric squares of punctured spheres. Advances in Mathematics. 418. 108942–108942.

Kazhdan, David, et al.. (2023). Schmidt rank and singularities. Ukrains’kyi Matematychnyi Zhurnal. 75(9). 1248–1266.

Polishchuk, Alexander, et al.. (2023). Ten Compatible Poisson Brackets on $\mathbb P^5$. Symmetry Integrability and Geometry Methods and Applications. 1 indexed citations

Kazhdan, David & Alexander Polishchuk. (2023). Almost invariant subspaces and operators. Pure and Applied Mathematics Quarterly. 19(4). 1975–1983.

Polishchuk, Alexander, et al.. (2022). A Landau–Ginzburg mirror theorem via matrix factorizations. Journal für die reine und angewandte Mathematik (Crelles Journal). 0(0). 1 indexed citations

Finkelberg, Michael, et al.. (2022). Elliptic zastava. Journal of Algebraic Geometry. 32(2). 183–237.

Polishchuk, Alexander. (2020). 𝐴_{∞}-structures associated with pairs of 1-spherical objects and noncommutative orders over curves. Transactions of the American Mathematical Society. 373(9). 6029–6093. 2 indexed citations

10.

Lekili, Yankı & Alexander Polishchuk. (2017). A modular compactification of ℳ_1,nfrom A _∞-structures. Journal für die reine und angewandte Mathematik (Crelles Journal). 2019(755). 151–189. 4 indexed citations

11.

Polishchuk, Alexander. (2017). MODULI OF CURVES WITH NONSPECIAL DIVISORS AND RELATIVE MODULI OF -STRUCTURES. Journal of the Institute of Mathematics of Jussieu. 18(6). 1295–1329. 2 indexed citations

12.

Polishchuk, Alexander. (2011). Kernel algebras and generalized Fourier–Mukai transforms. Journal of Noncommutative Geometry. 5(2). 153–251. 3 indexed citations

13.

Polishchuk, Alexander, et al.. (2011). Full exceptional collections on the Lagrangian Grassmannians LG(4,8) and LG(5,10). Journal of Geometry and Physics. 61(10). 1996–2014. 5 indexed citations

14.

Polishchuk, Alexander. (2010). K-theoretic exceptional collections at roots of unity. Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology. 7(1). 169–201. 1 indexed citations

15.

Moonen, B.J. & Alexander Polishchuk. (2010). Divided powers in Chow rings and integral Fourier transforms. Advances in Mathematics. 224(5). 2216–2236. 6 indexed citations

16.

Polishchuk, Alexander. (2004). $A_{\infty}$-structures, Brill–Noether loci and the Fourier–Mukai transform. Compositio Mathematica. 140(2). 459–481. 2 indexed citations

17.

Polishchuk, Alexander. (2004). Classification of holomorphic vector bundles on noncommutative two-tori. Documenta Mathematica. 9. 163–181. 12 indexed citations

18.

Polishchuk, Alexander. (2002). Classical Yang–Baxter Equation and the A∞-Constraint. Advances in Mathematics. 168(1). 56–95. 41 indexed citations

19.

Polishchuk, Alexander. (2000). Determinant Bundles for Abelian Schemes. Compositio Mathematica. 121(3). 221–245. 1 indexed citations

20.

Polishchuk, Alexander. (1995). On the Koszul Property of the Homogeneous Coordinate Ring of a Curve. Journal of Algebra. 178(1). 122–135. 11 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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