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.

Derived Categories and D-Branes
I. Burban, Ukrain. Mat. Zh. 57 (2005).

Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstraß cubics
I. Burban, B. Kreußler, J. Reine Angew. Math. 584 (2005) 45–82.

Coherent sheaves on rational curves with simple double points and transversal intersections
I. Burban, Yu. Drozd, Duke Mathematical Journal 121 (2004) 189–229.

Indecomposables of the derived categories of certain associative algebras
I. Burban, Yu. Drozd, in: Proceedings of the ICRA-X Conference, Toronto 2002, 2004, pp. 109–127.

Derived categories of coherent sheaves on rational singular curves
I. Burban, in: Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry, American Mathematical Society, 2004, pp. 173–188.

Derived tameness of nodal algebras
I. Burban, Yu. Drozd, J. Algebra 272 (2004) 46–94.

Stable vector bundles on a rational curve with one node
I. Burban, Ukrain. Mat. Zh. 55 (2003) 867–874.

Derived categories and matrix problems
I. Burban, Yu. Drozd, in:  Ukrainian Mathematical Congress 2001. Algebraic Structures and Their Applications. Proceedings of the Third International Algebraic Conference Held in Framework of the Ukrainian Mathematical Congress, Instytut Matematyky NAN Ukrainy, Kyiv, 2002, pp. 201–211.

Geometrical properties of sections of Buchsbaum- Rim sheaves
I. Burban, H.-G. Freiermuth, Le Matematiche LVII (2002) 265–283.

Vector bundles on singular projective curves
I. Burban, Yu. Drozd, G.-M. Greuel, in: C. Ciliberto (Ed.), Applications of Algebraic Geometry to Coding Theory, Physics and Computation, Kluwer Academic Publishers, 2001, pp. 1–15.