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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 406, no. 5 (2025). https://doi.org/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.” In Contemporary Mathematics. Providence, Rhode Island: American Mathematical Society, 2025. https://doi.org/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 38, no. 2 (2025): 166–203. https://doi.org/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.” In Contemporary Mathematics. Providence, Rhode Island: American Mathematical Society, 2025. https://doi.org/10.1090/conm/829/16544.
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| DOI
2023 | Book Chapter | LibreCat-ID: 66442
Burban, Igor. “Du Val Singularities.” In Springer Proceedings in Mathematics & Statistics. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-17859-7_7.
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| DOI
2023 | Book Chapter | LibreCat-ID: 66441
Burban, Igor. “Du Val Singularities.” In Springer Proceedings in Mathematics & Statistics. Cham: Springer International Publishing, 2023. https://doi.org/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 399 (2022). https://doi.org/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 176 (2022).
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2022 | Preprint | LibreCat-ID: 44537
Burban, Igor, C. Alfes-Neumann, and M. Raum. “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 387, no. 2 (2021): 1051–1109. https://doi.org/10.1007/s00220-021-04188-7.
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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 121, no. 4 (2020): 1033–1082. https://doi.org/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 364, no. 1 (2018): 123–169. https://doi.org/10.1007/s00220-018-3172-2.
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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 29, no. 10 (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. Memoirs of the American Mathematical Society, 2017. https://doi.org/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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