Anatoly Libgober

1.9k total citations
63 papers, 663 citations indexed

About

Anatoly Libgober is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Anatoly Libgober has authored 63 papers receiving a total of 663 indexed citations (citations by other indexed papers that have themselves been cited), including 56 papers in Geometry and Topology, 32 papers in Mathematical Physics and 15 papers in Algebra and Number Theory. Recurrent topics in Anatoly Libgober's work include Algebraic Geometry and Number Theory (47 papers), Advanced Algebra and Geometry (20 papers) and Polynomial and algebraic computation (13 papers). Anatoly Libgober is often cited by papers focused on Algebraic Geometry and Number Theory (47 papers), Advanced Algebra and Geometry (20 papers) and Polynomial and algebraic computation (13 papers). Anatoly Libgober collaborates with scholars based in United States, France and Spain. Anatoly Libgober's co-authors include Lev Borisov, John W. Wood, Sergey Yuzvinsky, Jeremy Teitelbaum, Steven Sperber, José Agustín, Alexandru Dimca, Laurenţiu Maxim, Julius L. Shaneson and Mihai Tibăr and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Anatoly Libgober

56 papers receiving 553 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Anatoly Libgober United States	14	587	390	213	128	73	63	663
Torsten Ekedahl Sweden	10	372 0.6×	241 0.6×	116 0.5×	128 1.0×	81 1.1×	24	439
A. V. Zelevinskii	10	363 0.6×	300 0.8×	177 0.8×	170 1.3×	117 1.6×	17	525
James B. Carrell Canada	12	407 0.7×	312 0.8×	121 0.6×	124 1.0×	46 0.6×	35	529
Willem A. de Graaf Italy	11	371 0.6×	176 0.5×	175 0.8×	315 2.5×	56 0.8×	53	476
Duco van Straten Germany	14	354 0.6×	212 0.5×	69 0.3×	139 1.1×	59 0.8×	45	490
S. Gitler Mexico	13	367 0.6×	343 0.9×	130 0.6×	134 1.0×	80 1.1×	40	518
Jiro Sekiguchi Japan	11	279 0.5×	273 0.7×	91 0.4×	150 1.2×	45 0.6×	45	445
Armand Brumer United States	13	568 1.0×	357 0.9×	126 0.6×	313 2.4×	95 1.3×	25	720
Tomoyoshi Ibukiyama Japan	14	489 0.8×	526 1.3×	172 0.8×	286 2.2×	29 0.4×	66	708
Victor V. Batyrev Germany	14	798 1.4×	365 0.9×	227 1.1×	207 1.6×	109 1.5×	28	850

Countries citing papers authored by Anatoly Libgober

Since Specialization

Citations

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

Fields of papers citing papers by Anatoly Libgober

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Anatoly Libgober

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

Libgober, Anatoly & Boris Shapiro. (2023). Meromorphic functions without real critical values and related braids. European Journal of Mathematics. 9(3). 1 indexed citations

Libgober, Anatoly. (2019). Homotopy groups of complements to ample divisors. Advanced studies in pure mathematics. 179–204.

Libgober, Anatoly. (2018). Elliptic genus of singular algebraic varieties and quotients. Journal of Physics A Mathematical and Theoretical. 51(7). 73001–73001. 1 indexed citations

Libgober, Anatoly, et al.. (2016). Motivic infinite cyclic covers. Zaguan (Universidad de Zaragoza). 2 indexed citations

Cappell, Sylvain E., Anatoly Libgober, Laurenţiu Maxim, & Julius L. Shaneson. (2008). Hodge genera and characteristic classes Of complex algebraic varieties. 15. 1–7. 6 indexed citations

Libgober, Anatoly, et al.. (2006). Discrete Torsion, Orbifold Elliptic Genera and the Chiralde Rham Complex. Pure and Applied Mathematics Quarterly. 2(4). 1217–1236. 1 indexed citations

Friedland, Shmuel & Anatoly Libgober. (2003). Generalizations of the odd degree theorem and applications. Israel Journal of Mathematics. 136(1). 353–371. 5 indexed citations

Libgober, Anatoly. (2002). First order deformations for rank one local systems with a non-vanishing cohomology. Topology and its Applications. 118(1-2). 159–168. 17 indexed citations

Libgober, Anatoly & Sergey Yuzvinsky. (2000). Cohomology of the Orlik–Solomon Algebras and Local Systems. Compositio Mathematica. 121(3). 337–361. 59 indexed citations

10.

Libgober, Anatoly. (1999). Chern classes and the periods of mirrors. Mathematical Research Letters. 6(2). 141–149. 16 indexed citations

11.

Libgober, Anatoly, et al.. (1997). Singularities and Complex Geometry. 2 indexed citations

12.

Libgober, Anatoly & Steven Sperber. (1995). On the zeta function of monodromy of a polynomial map. Compositio Mathematica. 95(3). 287–307. 22 indexed citations

13.

Libgober, Anatoly. (1992). On the homology of finite Abelian coverings. Topology and its Applications. 43(2). 157–166. 19 indexed citations

14.

Libgober, Anatoly. (1989). Invariants of plane algebraic curves via representations of the braid groups. Inventiones mathematicae. 95(1). 25–30. 9 indexed citations

15.

Birman, Joan S. & Anatoly Libgober. (1988). Braids : proceedings of the AMS-IMS-SIAM joint summer research conference on Artin's braid group held July 13-26, 1986 at the University of California, Santa Cruz, California. American Mathematical Society eBooks. 3 indexed citations

16.

Libgober, Anatoly & John W. Wood. (1982). Differentiable structures on complete intersections—I. Topology. 21(4). 469–482. 18 indexed citations

17.

Libgober, Anatoly & John W. Wood. (1981). On the topological structure of even-dimensional complete intersections. Transactions of the American Mathematical Society. 267(2). 637–660. 9 indexed citations

18.

Libgober, Anatoly. (1980). Some properties of the signature of complete intersections. Proceedings of the American Mathematical Society. 79(3). 373–375. 5 indexed citations

19.

Libgober, Anatoly. (1979). On the topology of some even-dimensional algebraic hypersurfaces. Topology. 18(3). 217–222. 5 indexed citations

20.

Libgober, Anatoly. (1977). A geometrical procedure for killing the middle dimensional homology groups of algebraic hypersurfaces. Proceedings of the American Mathematical Society. 63(2). 198–202. 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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