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45 Publications
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 | Preprint | LibreCat-ID: 44537
A classification of polyharmonic Maa forms via quiver representations
I. Burban, C. Alfes-Neumann, M. Raum, (2022).
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I. Burban, C. Alfes-Neumann, M. Raum, (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).
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.
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| 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.
2017 | Journal Article | LibreCat-ID: 44336
Singular curves and quasi–hereditary algebras
I. Burban, Yu. Drozd, V. Gavran, International Mathematics Research Notices 2017 (2017) 895–920.
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I. Burban, Yu. Drozd, V. Gavran, International Mathematics Research Notices 2017 (2017) 895–920.
2016 | Journal Article | LibreCat-ID: 44339
Cohen-Macaulay modules over some non-reduced curve singularities
I. Burban, W. Gnedin, Journal of Pure and Applied Algebra 220 (2016) 3777–3815.
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I. Burban, W. Gnedin, Journal of Pure and Applied Algebra 220 (2016) 3777–3815.
2015 | Journal Article | LibreCat-ID: 44340
Vector bundles on plane cubic curves and the classical Yang-Baxter equation
I. Burban, T. Henrich, Journal of the European Math. Society 17 (2015) 591– 644.
LibreCat
| DOI
I. Burban, T. Henrich, Journal of the European Math. Society 17 (2015) 591– 644.
2014 | Journal Article | LibreCat-ID: 44341
Analytic moduli spaces of simple sheaves on families of integral curves
I. Burban, B. Kreußler, Mathematische Nachrichten 287 (2014) 173–183.
LibreCat
I. Burban, B. Kreußler, Mathematische Nachrichten 287 (2014) 173–183.
2013 | Journal Article | LibreCat-ID: 44342
Composition algebra of a weighted projective line
I. Burban, O. Schiffmann, Journal Für Reine Und Angew. Mathematik 679 (2013) 75–124.
LibreCat
I. Burban, O. Schiffmann, Journal Für Reine Und Angew. Mathematik 679 (2013) 75–124.
2012 | Book | LibreCat-ID: 44346
Vector bundles on degenerations of elliptic curves and Yang-Baxter equations
I. Burban, B. Kreußler, Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations, 1035th ed., 2012.
LibreCat
| DOI
I. Burban, B. Kreußler, Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations, 1035th ed., 2012.
2012 | Journal Article | LibreCat-ID: 44344
On the Hall algebra of an elliptic curve I
I. Burban, O. Schiffmann, Duke Mathematical Journal 161 (2012) 1171–1231.
LibreCat
| DOI
I. Burban, O. Schiffmann, Duke Mathematical Journal 161 (2012) 1171–1231.
2012 | Journal Article | LibreCat-ID: 44345
Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
I. Burban, T. Henrich, Journal of Geometry and Physics 62 (2012) 312–329.
LibreCat
I. Burban, T. Henrich, Journal of Geometry and Physics 62 (2012) 312–329.