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55 Publications
2025 | Journal Article | LibreCat-ID: 66291
Burban, Igor, and Semyon Klevtsov. “Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus.” Communications in Mathematical Physics, vol. 406, no. 5, 97, Springer Science and Business Media LLC, 2025, doi:10.1007/s00220-025-05267-9.
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| DOI
2025 | Book Chapter | LibreCat-ID: 66296
Burban, Igor, and Yuriy Drozd. “Some Aspects of the Theory of Nodal Orders.” Contemporary Mathematics, American Mathematical Society, 2025, doi:10.1090/conm/829/16543.
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| DOI
2025 | Journal Article | LibreCat-ID: 66294
Burban, Igor. “Exceptional Hereditary Curves and Real Curve Orbifolds.” Algebra and Discrete Mathematics, vol. 38, no. 2, Luhansk Taras Shevchenko National University, 2025, pp. 166–203, doi:10.12958/adm2365.
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| DOI
2025 | Book Chapter | LibreCat-ID: 66297
Burban, Igor, and Semyon Klevtsov. “Norms of Wave Functions for FQHE Models on a Torus.” Contemporary Mathematics, American Mathematical Society, 2025, doi:10.1090/conm/829/16544.
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| DOI
2023 | Book Chapter | LibreCat-ID: 66441
Burban, Igor. “Du Val Singularities.” 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: 66442
Burban, Igor. “Du Val Singularities.” 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, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” Advances in Mathematics, vol. 399, 108273, 2022, doi:10.1016/j.aim.2022.108273.
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| DOI
2022 | Journal Article | LibreCat-ID: 44327
Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” Journal of Geometry and Physics, vol. 176, 104499, 2022.
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2022 | Preprint | LibreCat-ID: 44537
Burban, Igor, et al. A Classification of Polyharmonic Maaß Forms via Quiver Representations. 2022.
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2021 | Journal Article | LibreCat-ID: 44329
Burban, Igor, and R. Abedin. “Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang-Baxter Equation.” Communications in Mathematical Physics, vol. 387, no. 2, 2021, pp. 1051–1109, doi:10.1007/s00220-021-04188-7.
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| DOI
2020 | Journal Article | LibreCat-ID: 44331
Burban, Igor, and A. Zheglov. “Cohen-Macaulay Modules over the Algebra of Planar Quasi-Invariants and Calogero-Moser Systems.” Proceedings of the London Mathematical Society, vol. 121, no. 4, 2020, pp. 1033–1082, doi:10.1112/plms.12341.
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| DOI
2018 | Journal Article | LibreCat-ID: 44333
Burban, Igor, and L. Galinat. “Torsion Free Sheaves on Weierstraß Cubic Curves and the Classical Yang-Baxter Equation.” Communications in Mathematical Physics, vol. 364, no. 1, 2018, pp. 123–169, doi:10.1007/s00220-018-3172-2.
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| DOI
2018 | Preprint | LibreCat-ID: 44538
Burban, Igor, and Yu. Drozd. Non-Commutative Nodal Curves and Derived Tame Algebras. 2018.
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2018 | Journal Article | LibreCat-ID: 44332
Burban, Igor, and A. Zheglov. “Fourier-Mukai Transform on Weierstraß Cubics and Commuting Differential Operators.” International Journal of Mathematics, vol. 29, no. 10, 1850064-46 pp, 2018.
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2017 | Book | LibreCat-ID: 44337
Burban, Igor, and Yu. Drozd. Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems. 1178th ed., vol. 248, 2017, doi:10.1090/memo/1178.
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| DOI
2017 | Preprint | LibreCat-ID: 44539
Burban, Igor, and Yu. Drozd. On the Derived Categories of Gentle and Skew-Gentle Algebras: Homological Algebra and Matrix Problems. 2017.
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