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).

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

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

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

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.

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

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

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.

On the Hall algebra of an elliptic curve I
I. Burban, O. Schiffmann, Duke Mathematical Journal 161 (2012) 1171–1231.

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.

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

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

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

Tilting on non–commutative rational projective curves
I. Burban, Yu. Drozd, Mathematische Annalen 351 (2011) 665–709.

Cluster tilting for one–dimensional hypersurface singularities
I. Burban,  O. Iyama, B. Keller, I. Reiten, Advances in Mathematics 217 (2008) 2443–2484.

Maximal Cohen-Macaulay modules over surface singularities
I. Burban, Yu. Drozd, in: Trends in Representations of Algebras and Related Topics, EMS Publishing House, 2008, pp. 101–160.

Vector bundles and torsion free sheaves on degenerations of elliptic curves
I. Burban, L. Bodnarchuk, Yu. Drozd, G.-M. Greuel, in: Global Aspects of Complex Geometry, Springer, 2006, pp. 83–129.

On a relative Fourier–Mukai transform on genus one fibrations
I. Burban, B. Kreußler, Manuscripta Mathematica 120 (2006) 283–306.

Derived categories of irreducible projective curves of arithmetic genus one
I. Burban, B. Kreußler, Compositio Mathematica 142 (2006) 1231–1262.

Derived categories for nodal rings and projective configurations, Noncommutative Algebra and Geometry
I. Burban, Yu. Drozd, in: A Series of Lecture Notes in Pure and Applied Mathematics, 2005, pp. 23–46.