Boris Zilber

1.1k total citations
32 papers, 394 citations indexed

About

Boris Zilber is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Boris Zilber has authored 32 papers receiving a total of 394 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Geometry and Topology, 16 papers in Mathematical Physics and 11 papers in Algebra and Number Theory. Recurrent topics in Boris Zilber's work include Advanced Topology and Set Theory (11 papers), Homotopy and Cohomology in Algebraic Topology (9 papers) and Algebraic Geometry and Number Theory (8 papers). Boris Zilber is often cited by papers focused on Advanced Topology and Set Theory (11 papers), Homotopy and Cohomology in Algebraic Topology (9 papers) and Algebraic Geometry and Number Theory (8 papers). Boris Zilber collaborates with scholars based in United Kingdom, Slovakia and Russia. Boris Zilber's co-authors include Ehud Hrushovski and J. F. Kirby and has published in prestigious journals such as Bulletin of the London Mathematical Society, Bulletin of the American Mathematical Society and Journal of the American Mathematical Society.

In The Last Decade

Boris Zilber

25 papers receiving 324 citations

Peers

Boris Zilber
Daniel S. Kubert United States
Damien Roy Canada
Robert D. M. Accola United States
David E. Rohrlich United States
Boris Zilber
Citations per year, relative to Boris Zilber Boris Zilber (= 1×) peers Blair K. Spearman

Countries citing papers authored by Boris Zilber

Since Specialization
Citations

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

Fields of papers citing papers by Boris Zilber

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Boris Zilber

This figure shows the co-authorship network connecting the top 25 collaborators of Boris Zilber. A scholar is included among the top collaborators of Boris Zilber 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 Boris Zilber. Boris Zilber 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.
Zilber, Boris. (2024). Nonelementary categoricity and projective locally o-minimal classes. 3(1). 101–117. 1 indexed citations
2.
Zilber, Boris. (2016). Model theory of special subvarieties and Schanuel-type conjectures. Annals of Pure and Applied Logic. 167(10). 1000–1028. 2 indexed citations
3.
Zilber, Boris, et al.. (2014). Exponentially closed fields and the conjecture on intersections with tori. Annals of Pure and Applied Logic. 165(11). 1680–1706. 6 indexed citations
4.
Zilber, Boris. (2012). A Curve and its Abstract Jacobian. International Mathematics Research Notices. 2014(5). 1425–1439. 1 indexed citations
5.
Zilber, Boris. (2012). Intersecting varieties with tori.
6.
Kirby, J. F. & Boris Zilber. (2011). Exponential fields and atypical intersections. 1 indexed citations
7.
Zilber, Boris. (2010). Zariski Geometries. arXiv (Cornell University). 21 indexed citations
8.
Zilber, Boris. (2010). Zariski Geometries. Cambridge University Press eBooks. 10 indexed citations
9.
Zilber, Boris. (2010). Noncommutative Zariski geometries and their classical limit. French digital mathematics library (Numdam). 2(2). 265–291.
10.
Zilber, Boris. (2010). Stable domination and independence in algebraically closed valued fields (Lecture Notes in Logic 30). Bulletin of the London Mathematical Society. 42(2). 373–375. 2 indexed citations
11.
Zilber, Boris, et al.. (2009). Quantum Harmonic Oscillator as Zariski Geometry.
12.
Zilber, Boris, et al.. (2004). Analytic Zariski structures and the Hrushovski construction. Annals of Pure and Applied Logic. 132(2-3). 127–180. 5 indexed citations
13.
Zilber, Boris. (2004). Pseudo-exponentiation on algebraically closed fields of characteristic zero. Annals of Pure and Applied Logic. 132(1). 67–95. 49 indexed citations
14.
Zilber, Boris. (2003). RAISING TO POWERS IN ALGEBRAICALLY CLOSED FIELDS. Journal of Mathematical Logic. 3(2). 217–238. 3 indexed citations
15.
Zilber, Boris. (2002). EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE. Journal of the London Mathematical Society. 65(1). 27–44. 72 indexed citations
16.
Zilber, Boris. (1996). Quasi-Riemann Surfaces. Clarendon Press eBooks. 515–536. 1 indexed citations
17.
Zilber, Boris. (1993). Uncountably Categorical Theories. Translations of mathematical monographs. 28 indexed citations
18.
Zilber, Boris. (1985). Strongly minimal countably categorical theories. II. Siberian Mathematical Journal. 25(3). 396–412. 11 indexed citations
19.
Zilber, Boris. (1977). Группы и кольца, теория которых категорична. Fundamenta Mathematicae. 95(3). 173–188. 30 indexed citations
20.
Zilber, Boris. (1971). An example of two elementarily equivalent, but nonisomorphic finitely generated metabelian groups. Algebra and Logic. 10(3). 192–197. 6 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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