## Research interests

- algebraic geometry: moduli spaces of coherent sheaves
- computer algebra: automatization of computations in algebraic geometry
- commutative algebra: polynomials and rational functions
- Lie algebras: Lie algebras of derivations

## Publications

on

ArXiv;
on

zbMATH;
on

MathSciNet;
on

ORBilu;
on

KLUEDO;

### The latest ones

## Theses

- "
*Modification of Simpson moduli spaces of 1-dimensional sheaves
by vector bundles, an experimental example*", PhD thesis in Mathematics, Technische Universität
Kaiserslautern, Germany, 2009.
- "
*Centralizers of derivations and closed rational functions in two
variables*", Candidate of physical and mathematical sciences thesis in mathematics in speciality 01.01.06 (algebra and
number theory), National Taras Shevchenko
University of Kyiv, Ukraine, 2008. (in Ukrainian)
- "
*Vector bundles on
elliptic curves and factors of automorphy*", Diplomarbeit, Technische Universität Kaiserslautern, Germany, August 2005.

## Math for fun