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.

Projective transformations of a plane
I. Burban, W. Duma, U Sviti Mathematyky 4 (1998).

Projective transformations of a plane and three-dimensional space
I. Burban, W. Duma, U Sviti Mathematyky 4 (1998).

Rational parameterization of algebraic curves
I. Burban, U Sviti Mathematyky 4 (1998).

Euler’s theorem and map color problems
I. Burban, U Sviti Mathematyky 2 (1996).

Solutions of equations in integers
I. Burban, U Sviti Mathematyky 2 (1996).