Leonid Positselski

1.1k total citations
41 papers, 412 citations indexed

About

Leonid Positselski is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Leonid Positselski has authored 41 papers receiving a total of 412 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Geometry and Topology, 32 papers in Algebra and Number Theory and 25 papers in Mathematical Physics. Recurrent topics in Leonid Positselski's work include Algebraic structures and combinatorial models (33 papers), Homotopy and Cohomology in Algebraic Topology (25 papers) and Advanced Topics in Algebra (20 papers). Leonid Positselski is often cited by papers focused on Algebraic structures and combinatorial models (33 papers), Homotopy and Cohomology in Algebraic Topology (25 papers) and Advanced Topics in Algebra (20 papers). Leonid Positselski collaborates with scholars based in Czechia, Russia and Israel. Leonid Positselski's co-authors include Alexander Polishchuk, Jir̆ı́ Rosický, Jan Šťovíček, Silvana Bazzoni, Jan Trlifaj, Roman Bezrukavnikov and Alexander Braverman and has published in prestigious journals such as Pacific Journal of Mathematics, Journal of Algebra and Memoirs of the American Mathematical Society.

In The Last Decade

Leonid Positselski

37 papers receiving 364 citations

Peers

Leonid Positselski

GT

ANT

MP

SNP

CTM

Hans-Joachim Baues Germany

Muriel Livernet France

Bruno Vallette France

Donald Yau United States

Hans Joachim Baues Germany

Alice Fialowski Hungary

Florin Panaite Romania

Vladimir Hinich Israel

Steve Shnider Israel

Gabriele Vezzosi Italy

Hans-Joachim Baues Germany

Leonid Positselski

490 ×1.3

GT

329 ×1.1

ANT

498 ×1.9

MP

20 ×0.4

SNP

45 ×1.5

CTM

Citations per year, relative to Leonid Positselski Leonid Positselski (= 1×) peers Hans-Joachim Baues

Countries citing papers authored by Leonid Positselski

Since Specialization

Citations

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

Fields of papers citing papers by Leonid Positselski

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Leonid Positselski

This figure shows the co-authorship network connecting the top 25 collaborators of Leonid Positselski. A scholar is included among the top collaborators of Leonid Positselski 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 Leonid Positselski. Leonid Positselski 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

1.

Positselski, Leonid. (2025). Generalized periodicity theorems. Journal of Pure and Applied Algebra. 229(7). 107962–107962.

2.

Positselski, Leonid. (2024). Flat comodules and contramodules as directed colimits, and cotorsion periodicity. Journal of Homotopy and Related Structures. 19(4). 635–678. 2 indexed citations

3.

Positselski, Leonid. (2024). Resolutions as directed colimits. Rendiconti del Seminario Matematico della Università di Padova. 155. 41–83.

4.

Positselski, Leonid & Jan Šťovíček. (2024). Flat Quasi-coherent Sheaves as Directed Colimits, and Quasi-coherent Cotorsion Periodicity. Algebras and Representation Theory. 27(6). 2267–2293. 1 indexed citations

5.

Bazzoni, Silvana, et al.. (2023). fp-Projective periodicity. Journal of Pure and Applied Algebra. 228(3). 107497–107497. 6 indexed citations

6.

Positselski, Leonid. (2023). Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes. 1 indexed citations

7.

Positselski, Leonid. (2023). An explicit self-dual construction of complete cotorsion pairs in the relative context. Rendiconti del Seminario Matematico della Università di Padova. 149. 191–253. 3 indexed citations

8.

Positselski, Leonid, et al.. (2022). Closure properties of lim⟶C. Journal of Algebra. 606. 30–103. 7 indexed citations

9.

Positselski, Leonid, et al.. (2022). Countably generated flat modules are quite flat. Journal of Commutative Algebra. 14(1). 1 indexed citations

10.

Positselski, Leonid & Jan Šťovíček. (2021). Derived, coderived, and contraderived categories of locally presentable abelian categories. Journal of Pure and Applied Algebra. 226(4). 106883–106883. 6 indexed citations

11.

Bazzoni, Silvana & Leonid Positselski. (2018). Contramodules over pro-perfect topological rings, the covering property in categorical tilting theory, and homological ring epimorphisms. arXiv (Cornell University). 1 indexed citations

12.

Positselski, Leonid & Jan Šťovíček. (2018). Exactness of direct limits for abelian categories with an injective cogenerator. Journal of Pure and Applied Algebra. 223(8). 3330–3340. 2 indexed citations

13.

Positselski, Leonid & Jir̆ı́ Rosický. (2017). Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories. Journal of Algebra. 483. 83–128. 22 indexed citations

14.

Positselski, Leonid. (2017). Koszulity of cohomology = K(π,1)-ness + quasi-formality. Journal of Algebra. 483. 188–229. 6 indexed citations

15.

Positselski, Leonid. (2014). Galois cohomology of a number field is Koszul. Journal of Number Theory. 145. 126–152. 11 indexed citations

16.

Positselski, Leonid. (2009). Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence. arXiv (Cornell University). 48 indexed citations

17.

Polishchuk, Alexander & Leonid Positselski. (2005). Quadratic Algebras. 69 indexed citations

18.

Positselski, Leonid. (1995). Relation between the Hilbert series of quadratic dual algebras does not imply Koszulity. Functional Analysis and Its Applications. 29(3). 213–217. 11 indexed citations

19.

Positselski, Leonid. (1993). Nonhomogeneous quadratic duality and curvature. Functional Analysis and Its Applications. 27(3). 197–204. 34 indexed citations

20.

Positselski, Leonid. (1991). Local Plücker formulas for a semisimple Lie group. Functional Analysis and Its Applications. 25(4). 291–292. 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.

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