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55 Publications
2025 | Preprint | LibreCat-ID: 63620
@article{Baumeister_Burban_Neaime_Schwabe_2025, title={Non-crossing partitions for exceptional hereditary curves}, journal={arXiv:2512.01729}, author={Baumeister, Barbara and Burban, Igor and Neaime, Georges and Schwabe, Charly Merlin}, year={2025} }
LibreCat
| arXiv
2025 | Journal Article | LibreCat-ID: 66291
@article{Burban_Klevtsov_2025, title={Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus}, volume={406}, DOI={10.1007/s00220-025-05267-9}, number={597}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Burban, Igor and Klevtsov, Semyon}, year={2025} }
LibreCat
| DOI
2025 | Book Chapter | LibreCat-ID: 66296
@inbook{Burban_Drozd_2025, place={Providence, Rhode Island}, title={Some aspects of the theory of nodal orders}, DOI={10.1090/conm/829/16543}, booktitle={Contemporary Mathematics}, publisher={American Mathematical Society}, author={Burban, Igor and Drozd, Yuriy}, year={2025} }
LibreCat
| DOI
2025 | Journal Article | LibreCat-ID: 66294
@article{Burban_2025, title={Exceptional hereditary curves and real curve orbifolds}, volume={38}, DOI={10.12958/adm2365}, number={2}, journal={Algebra and Discrete Mathematics}, publisher={Luhansk Taras Shevchenko National University}, author={Burban, Igor}, year={2025}, pages={166–203} }
LibreCat
| DOI
2025 | Book Chapter | LibreCat-ID: 66297
@inbook{Burban_Klevtsov_2025, place={Providence, Rhode Island}, title={Norms of wave functions for FQHE models on a torus}, DOI={10.1090/conm/829/16544}, booktitle={Contemporary Mathematics}, publisher={American Mathematical Society}, author={Burban, Igor and Klevtsov, Semyon}, year={2025} }
LibreCat
| DOI
2023 | Book Chapter | LibreCat-ID: 66442
@inbook{Burban_2023, place={Cham}, title={Du Val Singularities}, DOI={10.1007/978-3-031-17859-7_7}, booktitle={Springer Proceedings in Mathematics & Statistics}, publisher={Springer International Publishing}, author={Burban, Igor}, year={2023} }
LibreCat
| DOI
2023 | Book Chapter | LibreCat-ID: 66441
@inbook{Burban_2023, place={Cham}, title={Du Val Singularities}, DOI={10.1007/978-3-031-17859-7_7}, booktitle={Springer Proceedings in Mathematics & Statistics}, publisher={Springer International Publishing}, author={Burban, Igor}, year={2023} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 44328
@article{Burban_Drozd_2022, title={Morita theory for non-commutative noetherian schemes}, volume={399}, DOI={10.1016/j.aim.2022.108273}, number={108273}, journal={Advances in Mathematics}, author={Burban, Igor and Drozd, Yu.}, year={2022} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 44327
@article{Burban_Peruzzi_2022, title={On elliptic solutions of the associative Yang-Baxter equation}, volume={176}, number={104499}, journal={Journal of Geometry and Physics}, author={Burban, Igor and Peruzzi, A.}, year={2022} }
LibreCat
2022 | Preprint | LibreCat-ID: 44537
@article{Burban_Alfes-Neumann_Raum_2022, title={A classification of polyharmonic Maaß forms via quiver representations}, author={Burban, Igor and Alfes-Neumann, C. and Raum, M.}, year={2022} }
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2021 | Journal Article | LibreCat-ID: 44329
@article{Burban_Abedin_2021, title={Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation}, volume={387}, DOI={10.1007/s00220-021-04188-7}, number={2}, journal={Communications in Mathematical Physics}, author={Burban, Igor and Abedin, R.}, year={2021}, pages={1051–1109} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 44331
@article{Burban_Zheglov_2020, title={Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems}, volume={121}, DOI={10.1112/plms.12341}, number={4}, journal={Proceedings of the London Mathematical Society}, author={Burban, Igor and Zheglov, A.}, year={2020}, pages={1033–1082} }
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 44333
@article{Burban_Galinat_2018, title={Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation}, volume={364}, DOI={10.1007/s00220-018-3172-2}, number={1}, journal={Communications in Mathematical Physics}, author={Burban, Igor and Galinat, L.}, year={2018}, pages={123–169} }
LibreCat
| DOI
2018 | Preprint | LibreCat-ID: 44538
@article{Burban_Drozd_2018, title={Non-commutative nodal curves and derived tame algebras}, author={Burban, Igor and Drozd, Yu.}, year={2018} }
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2018 | Journal Article | LibreCat-ID: 44332
@article{Burban_Zheglov_2018, title={Fourier-Mukai transform on Weierstraß cubics and commuting differential operators}, volume={29}, number={101850064–46 pp}, journal={International Journal of Mathematics}, author={Burban, Igor and Zheglov, A.}, year={2018} }
LibreCat
2017 | Book | LibreCat-ID: 44337
@book{Burban_Drozd_2017, edition={1178}, series={Memoirs of the American Mathematical Society}, title={Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems}, volume={248}, DOI={10.1090/memo/1178}, author={Burban, Igor and Drozd, Yu.}, year={2017}, collection={Memoirs of the American Mathematical Society} }
LibreCat
| DOI
2017 | Preprint | LibreCat-ID: 44539
@article{Burban_Drozd_2017, title={On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems}, author={Burban, Igor and Drozd, Yu.}, year={2017} }
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