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55 Publications
2025 | Journal Article | LibreCat-ID: 66291
I. Burban and S. Klevtsov, “Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus,” Communications in Mathematical Physics, vol. 406, no. 5, Art. no. 97, 2025, doi: 10.1007/s00220-025-05267-9.
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2025 | Journal Article | LibreCat-ID: 66294
I. Burban, “Exceptional hereditary curves and real curve orbifolds,” Algebra and Discrete Mathematics, vol. 38, no. 2, pp. 166–203, 2025, doi: 10.12958/adm2365.
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2022 | Journal Article | LibreCat-ID: 44328
I. Burban and Yu. Drozd, “Morita theory for non-commutative noetherian schemes,” Advances in Mathematics, vol. 399, Art. no. 108273, 2022, doi: 10.1016/j.aim.2022.108273.
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2022 | Journal Article | LibreCat-ID: 44327
I. Burban and A. Peruzzi, “On elliptic solutions of the associative Yang-Baxter equation,” Journal of Geometry and Physics, vol. 176, Art. no. 104499, 2022.
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2022 | Preprint | LibreCat-ID: 44537
I. Burban, 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
I. Burban 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, pp. 1051–1109, 2021, doi: 10.1007/s00220-021-04188-7.
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2020 | Journal Article | LibreCat-ID: 44331
I. Burban 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, pp. 1033–1082, 2020, doi: 10.1112/plms.12341.
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2018 | Journal Article | LibreCat-ID: 44333
I. Burban and L. Galinat, “Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation,” Communications in Mathematical Physics, vol. 364, no. 1, pp. 123–169, 2018, doi: 10.1007/s00220-018-3172-2.
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2018 | Preprint | LibreCat-ID: 44538
I. Burban and Yu. Drozd, “Non-commutative nodal curves and derived tame algebras.” 2018.
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2018 | Journal Article | LibreCat-ID: 44332
I. Burban and A. Zheglov, “Fourier-Mukai transform on Weierstraß cubics and commuting differential operators,” International Journal of Mathematics, vol. 29, no. 10, Art. no. 1850064–46 pp, 2018.
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2017 | Preprint | LibreCat-ID: 44539
I. Burban and Yu. Drozd, “On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems.” 2017.
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