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 

Burban, I., &; Peruzzi, A. (2022). On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics, 176, Article 104499.

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 

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 

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 

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.

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 

Burban, I., &; Galinat, L. (2017). Simple vector bundles on a nodal Weierstraß cubic and quasi-trigonometric solutions of CYBE. Journal of Physics A: Mathematical and Theoretical, 50, Article 454002.

Burban, I., Drozd, Yu., &; Gavran, V. (2017). Minors of non-commutative schemes. European Journal of Mathematics, 3(2), 311–341.

Burban, I., Drozd, Yu., &; Gavran, V. (2017). Singular curves and quasi–hereditary algebras. International Mathematics Research Notices 2017, 3, 895–920.

Burban, I., &; Gnedin, W. (2016). Cohen-Macaulay modules over some non-reduced curve singularities. Journal of Pure and Applied Algebra, 220(12), 3777–3815.

Burban, I., &; Henrich, T. (2015). Vector bundles on plane cubic curves and the classical Yang-Baxter equation. Journal of the European Math. Society, 17(3), 591– 644.https://doi.org/10.4171/JEMS/512 

Burban, I., &; Kreußler, B. (2014). Analytic moduli spaces of simple sheaves on families of integral curves. Mathematische Nachrichten, 287(2–3), 173–183.

Burban, I., &; Schiffmann,  O. (2013). Composition algebra of a weighted projective line. Journal Für Reine Und Angew. Mathematik, 679, 75–124.

Burban, I., &; Kreußler, B. (2012). Vector bundles on degenerations of elliptic curves and Yang-Baxter equations (1035th ed., Vol. 220).https://doi.org/10.1090/S0065-9266-2012-00654-X 

Burban, I., &; Schiffmann, O. (2012). On the Hall algebra of an elliptic curve I. Duke Mathematical Journal, 161(7), 1171–1231.https://doi.org/10.1215/00127094-1593263 

Burban, I., &; Henrich, T. (2012). Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation. Journal of Geometry and Physics, 62(2), 312–329.

Burban, I., &; Schiffmann, O. (2012). Two descriptions of the quantum affine algebra Uv(sl2) via Hall algebra approach. Glasgow Journal of Math., 54(2), 283–307.

Burban, I. (2012). Frobenius morphism and vector bundles on cycles of projective lines. Communications in Algebra, 40(8), 2983–2988.

Burban, I., &; Kalck, M. (2012). Singularity category of a non–commutative resolution of singularities. Advances in Mathematics, 231(1), 414–435.