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53 Publications
2026 | Preprint | LibreCat-ID: 66293
Representation theory of the Gelfand quiver and Harish-Chandra modules for SL_2(R)
I. Burban, W. Gnedin, ArXiv:2604.00274 (2026).
LibreCat
| arXiv
I. Burban, W. Gnedin, ArXiv:2604.00274 (2026).
2026 | Preprint | LibreCat-ID: 66292
Representation theory of the real Gelfand order and real Harish-Chandra modules for SL_2(R)
I. Burban, Y. Drozd, ArXiv:2605.18000 (2026).
LibreCat
| arXiv
I. Burban, Y. Drozd, ArXiv:2605.18000 (2026).
2025 | Preprint | LibreCat-ID: 63620
Non-crossing partitions for exceptional hereditary curves
B. Baumeister, I. Burban, G. Neaime, C.M. Schwabe, ArXiv:2512.01729 (2025).
LibreCat
| arXiv
B. Baumeister, I. Burban, G. Neaime, C.M. Schwabe, ArXiv:2512.01729 (2025).
2025 | Journal Article | LibreCat-ID: 66291
Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus
I. Burban, S. Klevtsov, Communications in Mathematical Physics 406 (2025).
LibreCat
| DOI
I. Burban, S. Klevtsov, Communications in Mathematical Physics 406 (2025).
2025 | Book Chapter | LibreCat-ID: 66296
Some aspects of the theory of nodal orders
I. Burban, Y. Drozd, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.
LibreCat
| DOI
I. Burban, Y. Drozd, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.
2025 | Journal Article | LibreCat-ID: 66294
Exceptional hereditary curves and real curve orbifolds
I. Burban, Algebra and Discrete Mathematics 38 (2025) 166–203.
LibreCat
| DOI
I. Burban, Algebra and Discrete Mathematics 38 (2025) 166–203.
2025 | Book Chapter | LibreCat-ID: 66297
Norms of wave functions for FQHE models on a torus
I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.
LibreCat
| DOI
I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.
2024 | Preprint | LibreCat-ID: 66295
Classification of real nodal orders
I. Burban, Y. Drozd, ArXiv:2410.05792 (2024).
LibreCat
| arXiv
I. Burban, Y. Drozd, ArXiv:2410.05792 (2024).
2022 | Journal Article | LibreCat-ID: 44328
Morita theory for non-commutative noetherian schemes
I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).
LibreCat
| DOI
I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).
2022 | Journal Article | LibreCat-ID: 44327
On elliptic solutions of the associative Yang-Baxter equation
I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022).
LibreCat
I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022).
2022 | Preprint | LibreCat-ID: 44537
A classification of polyharmonic Maaß forms via quiver representations
I. Burban, C. Alfes-Neumann, M. Raum, (2022).
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| Download (ext.)
I. Burban, C. Alfes-Neumann, M. Raum, (2022).
2021 | Journal Article | LibreCat-ID: 44329
Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation
I. Burban, R. Abedin, Communications in Mathematical Physics 387 (2021) 1051–1109.
LibreCat
| DOI
I. Burban, R. Abedin, Communications in Mathematical Physics 387 (2021) 1051–1109.
2020 | Journal Article | LibreCat-ID: 44331
Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems
I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121 (2020) 1033–1082.
LibreCat
| DOI
I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121 (2020) 1033–1082.
2018 | Journal Article | LibreCat-ID: 44333
Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation
I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018) 123–169.
LibreCat
| DOI
I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018) 123–169.
2018 | Preprint | LibreCat-ID: 44538
Non-commutative nodal curves and derived tame algebras
I. Burban, Yu. Drozd, (2018).
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I. Burban, Yu. Drozd, (2018).
2018 | Journal Article | LibreCat-ID: 44332
Fourier-Mukai transform on Weierstraß cubics and commuting differential operators
I. Burban, A. Zheglov, International Journal of Mathematics 29 (2018).
LibreCat
I. Burban, A. Zheglov, International Journal of Mathematics 29 (2018).
2017 | Book | LibreCat-ID: 44337
Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems
I. Burban, Yu. Drozd, Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems, 1178th ed., 2017.
LibreCat
| DOI
I. Burban, Yu. Drozd, Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems, 1178th ed., 2017.
2017 | Preprint | LibreCat-ID: 44539
On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems
I. Burban, Yu. Drozd, (2017).
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I. Burban, Yu. Drozd, (2017).
2017 | Journal Article | LibreCat-ID: 44334
Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE
I. Burban, L. Galinat, Journal of Physics A: Mathematical and Theoretical 50 (2017).
LibreCat
I. Burban, L. Galinat, Journal of Physics A: Mathematical and Theoretical 50 (2017).
2017 | Journal Article | LibreCat-ID: 44335
Minors of non-commutative schemes
I. Burban, Yu. Drozd, V. Gavran, European Journal of Mathematics 3 (2017) 311–341.
LibreCat
I. Burban, Yu. Drozd, V. Gavran, European Journal of Mathematics 3 (2017) 311–341.