Igor Burban

768 total citations
26 papers, 244 citations indexed

About

Igor Burban is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Algebra and Number Theory. According to data from OpenAlex, Igor Burban has authored 26 papers receiving a total of 244 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 16 papers in Statistical and Nonlinear Physics and 15 papers in Algebra and Number Theory. Recurrent topics in Igor Burban's work include Algebraic structures and combinatorial models (22 papers), Nonlinear Waves and Solitons (16 papers) and Advanced Topics in Algebra (14 papers). Igor Burban is often cited by papers focused on Algebraic structures and combinatorial models (22 papers), Nonlinear Waves and Solitons (16 papers) and Advanced Topics in Algebra (14 papers). Igor Burban collaborates with scholars based in Germany, Ukraine and France. Igor Burban's co-authors include A. U. Klimyk, Yuriy Drozd, Bernhard Keller, Idun Reiten, Osamu Iyama, Olivier Schiffmann and Andrea Peruzzi and has published in prestigious journals such as Physics Letters B, Communications in Mathematical Physics and Physics Letters A.

In The Last Decade

Igor Burban

22 papers receiving 224 citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Igor Burban 208 136 124 67 50 26 244
T. D. Palev 285 1.4× 222 1.6× 223 1.8× 46 0.7× 103 2.1× 36 343
Alexander Stolin 278 1.3× 170 1.3× 247 2.0× 95 1.4× 12 0.2× 40 320
Y. Soibelman 273 1.3× 115 0.8× 221 1.8× 152 2.3× 19 0.4× 12 301
A. V. Odesskiĭ 138 0.7× 96 0.7× 94 0.8× 77 1.1× 7 0.1× 28 181
Dmitry V. Talalaev 99 0.5× 75 0.6× 45 0.4× 20 0.3× 26 0.5× 32 137
Johan van de Leur 186 0.9× 205 1.5× 58 0.5× 62 0.9× 15 0.3× 28 240
Roger Plymen 175 0.8× 35 0.3× 121 1.0× 254 3.8× 27 0.5× 58 319
Yuly Billig 389 1.9× 265 1.9× 366 3.0× 111 1.7× 11 0.2× 32 422
Ben Davison 140 0.7× 58 0.4× 55 0.4× 82 1.2× 17 0.3× 19 169
Dimitri Gurevich 202 1.0× 104 0.8× 174 1.4× 137 2.0× 5 0.1× 43 274

Countries citing papers authored by Igor Burban

Since Specialization
Citations

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

Fields of papers citing papers by Igor Burban

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Igor Burban

This figure shows the co-authorship network connecting the top 25 collaborators of Igor Burban. A scholar is included among the top collaborators of Igor Burban 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 Igor Burban. Igor Burban 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.
Burban, Igor & Andrea Peruzzi. (2022). On elliptic solutions of the associative Yang–Baxter equation. Journal of Geometry and Physics. 176. 104499–104499.
2.
Burban, Igor, et al.. (2021). Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang–Baxter Equation. Communications in Mathematical Physics. 387(2). 1051–1109. 2 indexed citations
3.
Burban, Igor, et al.. (2012). The relative singularity category of a non-commutative resolution of singularities. Advances in Mathematics. 231(1). 414–435. 6 indexed citations
4.
Burban, Igor, et al.. (2012). Vector bundles on degenerations of elliptic curves and Yang–Baxter equations. Memoirs of the American Mathematical Society. 220(1035). 0–0. 7 indexed citations
5.
Burban, Igor. (2012). Oscillators in the Framework of Unified (q, α, β, γ, ν)-Deformation and Their Oscillator Algebras. Ukrainian Journal of Physics. 57(4). 396–396.
6.
Burban, Igor & Olivier Schiffmann. (2011). TWO DESCRIPTIONS OF THE QUANTUM AFFINE ALGEBRA Uv() VIA HALL ALGEBRA APPROACH. Glasgow Mathematical Journal. 54(2). 283–307. 4 indexed citations
7.
Burban, Igor. (2010). Arik–Coon oscillator withq> 1 in the framework of unified (q; α, β, γ; ν)-deformation. Journal of Physics A Mathematical and Theoretical. 43(30). 305204–305204. 5 indexed citations
8.
Burban, Igor. (2010). GENERALIZED DEFORMED HARMONIC OSCILLATORS IN THE FRAMEWORK OF UNIFIED (q; α, β, γ; ν)-DEFORMATION. Modern Physics Letters A. 25(15). 1239–1249. 3 indexed citations
9.
Burban, Igor, Osamu Iyama, Bernhard Keller, & Idun Reiten. (2008). Cluster tilting for one-dimensional hypersurface singularities. Advances in Mathematics. 217(6). 2443–2484. 46 indexed citations
10.
Burban, Igor, et al.. (2006). Derived categories of irreducible projective curves of arithmetic genus one. Compositio Mathematica. 142(5). 1231–1262. 16 indexed citations
11.
Burban, Igor, et al.. (2006). On a Relative Fourier–Mukai Transform on Genus One Fibrations. manuscripta mathematica. 120(3). 283–306. 9 indexed citations
12.
Burban, Igor, et al.. (2005). Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstraß cubics. Journal für die reine und angewandte Mathematik (Crelles Journal). 2005(584). 45–82. 14 indexed citations
13.
Burban, Igor, et al.. (2005). Twist Functors and D-Branes. Ukrainian Mathematical Journal. 57(1). 18–34. 2 indexed citations
14.
Burban, Igor & Yuriy Drozd. (2004). Coherent sheaves on rational curves with simple double points and transversal intersections. Duke Mathematical Journal. 121(2). 8 indexed citations
15.
Burban, Igor & Yuriy Drozd. (2003). Derived categories of nodal algebras. Journal of Algebra. 272(1). 46–94. 22 indexed citations
16.
Burban, Igor. (2003). Abgeleitete Kategorien und Matrixprobleme. Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology). 3 indexed citations
17.
Burban, Igor. (1995). (p, q)-Analog of Two-Dimensional Conformal Field Theory. The Ward Identities and Correlation Functions. Journal of Nonlinear Mathematical Physics. 2(2). 114–114. 1 indexed citations
18.
Burban, Igor & A. U. Klimyk. (1993). On spectral properties ofq-oscillator operators. Letters in Mathematical Physics. 29(1). 13–18. 24 indexed citations
19.
Burban, Igor & A. U. Klimyk. (1993). Representations of the quantum algebra Uq(su1,1). Journal of Physics A Mathematical and General. 26(9). 2139–2151. 29 indexed citations
20.
Burban, Igor. (1971). On weak convergence in an infinite tensor product of Hilbert spaces. Theoretical and Mathematical Physics. 9(3). 1165–1168.

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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