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55 Publications
2025 | Journal Article | LibreCat-ID: 66291
Burban I, Klevtsov S. Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus. Communications in Mathematical Physics. 2025;406(5). doi:10.1007/s00220-025-05267-9
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| DOI
2025 | Book Chapter | LibreCat-ID: 66296
Burban I, Drozd Y. Some aspects of the theory of nodal orders. In: Contemporary Mathematics. American Mathematical Society; 2025. doi:10.1090/conm/829/16543
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| DOI
2025 | Journal Article | LibreCat-ID: 66294
Burban I. Exceptional hereditary curves and real curve orbifolds. Algebra and Discrete Mathematics. 2025;38(2):166-203. doi:10.12958/adm2365
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| DOI
2025 | Book Chapter | LibreCat-ID: 66297
Burban I, Klevtsov S. Norms of wave functions for FQHE models on a torus. In: Contemporary Mathematics. American Mathematical Society; 2025. doi:10.1090/conm/829/16544
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| DOI
2023 | Book Chapter | LibreCat-ID: 66442
Burban I. Du Val Singularities. In: Springer Proceedings in Mathematics & Statistics. Springer International Publishing; 2023. doi:10.1007/978-3-031-17859-7_7
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| DOI
2023 | Book Chapter | LibreCat-ID: 66441
Burban I. Du Val Singularities. In: Springer Proceedings in Mathematics & Statistics. Springer International Publishing; 2023. doi:10.1007/978-3-031-17859-7_7
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| DOI
2022 | Journal Article | LibreCat-ID: 44328
Burban I, Drozd Yu. Morita theory for non-commutative noetherian schemes. Advances in Mathematics. 2022;399. doi:10.1016/j.aim.2022.108273
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| DOI
2022 | Journal Article | LibreCat-ID: 44327
Burban I, Peruzzi A. On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics. 2022;176.
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2022 | Preprint | LibreCat-ID: 44537
Burban I, Alfes-Neumann C, Raum M. A classification of polyharmonic Maaß forms via quiver representations. Published online 2022.
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2021 | Journal Article | LibreCat-ID: 44329
Burban I, Abedin R. Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation. Communications in Mathematical Physics. 2021;387(2):1051–1109. doi:10.1007/s00220-021-04188-7
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| DOI
2020 | Journal Article | LibreCat-ID: 44331
Burban I, Zheglov A. Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. Proceedings of the London Mathematical Society. 2020;121(4):1033–1082. doi:10.1112/plms.12341
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| DOI
2018 | Journal Article | LibreCat-ID: 44333
Burban I, Galinat L. Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation. Communications in Mathematical Physics. 2018;364(1):123–169. doi:10.1007/s00220-018-3172-2
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| DOI
2018 | Preprint | LibreCat-ID: 44538
Burban I, Drozd Yu. Non-commutative nodal curves and derived tame algebras. Published online 2018.
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2018 | Journal Article | LibreCat-ID: 44332
Burban I, Zheglov A. Fourier-Mukai transform on Weierstraß cubics and commuting differential operators. International Journal of Mathematics. 2018;29(10).
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2017 | Book | LibreCat-ID: 44337
Burban I, Drozd Yu. Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems. Vol 248. 1178th ed.; 2017. doi:10.1090/memo/1178
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| DOI
2017 | Preprint | LibreCat-ID: 44539
Burban I, Drozd Yu. On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems. Published online 2017.
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