Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
55 Publications
2025 | Journal Article | LibreCat-ID: 66291
Burban, I., & Klevtsov, S. (2025). Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus. Communications in Mathematical Physics, 406(5), Article 97. https://doi.org/10.1007/s00220-025-05267-9
LibreCat
| DOI
2025 | Book Chapter | LibreCat-ID: 66296
Burban, I., & Drozd, Y. (2025). Some aspects of the theory of nodal orders. In Contemporary Mathematics. American Mathematical Society. https://doi.org/10.1090/conm/829/16543
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 66294
Burban, I. (2025). Exceptional hereditary curves and real curve orbifolds. Algebra and Discrete Mathematics, 38(2), 166–203. https://doi.org/10.12958/adm2365
LibreCat
| DOI
2025 | Book Chapter | LibreCat-ID: 66297
Burban, I., & Klevtsov, S. (2025). Norms of wave functions for FQHE models on a torus. In Contemporary Mathematics. American Mathematical Society. https://doi.org/10.1090/conm/829/16544
LibreCat
| DOI
2023 | Book Chapter | LibreCat-ID: 66442
Burban, I. (2023). Du Val Singularities. In Springer Proceedings in Mathematics & Statistics. Springer International Publishing. https://doi.org/10.1007/978-3-031-17859-7_7
LibreCat
| DOI
2023 | Book Chapter | LibreCat-ID: 66441
Burban, I. (2023). Du Val Singularities. In Springer Proceedings in Mathematics & Statistics. Springer International Publishing. https://doi.org/10.1007/978-3-031-17859-7_7
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 44328
Burban, I., & Drozd, Yu. (2022). Morita theory for non-commutative noetherian schemes. Advances in Mathematics, 399, Article 108273. https://doi.org/10.1016/j.aim.2022.108273
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 44327
Burban, I., & Peruzzi, A. (2022). On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics, 176, Article 104499.
LibreCat
2022 | Preprint | LibreCat-ID: 44537
Burban, I., Alfes-Neumann, C., & Raum, M. (2022). A classification of polyharmonic Maaß forms via quiver representations.
LibreCat
| Download (ext.)
2021 | Journal Article | LibreCat-ID: 44329
Burban, I., & Abedin, R. (2021). Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation. Communications in Mathematical Physics, 387(2), 1051–1109. https://doi.org/10.1007/s00220-021-04188-7
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 44331
Burban, I., & Zheglov, A. (2020). Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. Proceedings of the London Mathematical Society, 121(4), 1033–1082. https://doi.org/10.1112/plms.12341
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 44333
Burban, I., & Galinat, L. (2018). Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation. Communications in Mathematical Physics, 364(1), 123–169. https://doi.org/10.1007/s00220-018-3172-2
LibreCat
| DOI
2018 | Preprint | LibreCat-ID: 44538
Burban, I., & Drozd, Yu. (2018). Non-commutative nodal curves and derived tame algebras.
LibreCat
| Download (ext.)
2018 | Journal Article | LibreCat-ID: 44332
Burban, I., & Zheglov, A. (2018). Fourier-Mukai transform on Weierstraß cubics and commuting differential operators. International Journal of Mathematics, 29(10), Article 1850064- 46 pp.
LibreCat
2017 | Book | LibreCat-ID: 44337
Burban, I., & Drozd, Yu. (2017). Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems (1178th ed., Vol. 248). https://doi.org/10.1090/memo/1178
LibreCat
| DOI
2017 | Preprint | LibreCat-ID: 44539
Burban, I., & Drozd, Yu. (2017). On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems.
LibreCat
| Download (ext.)