Math: O. Iena

de

de × Main Mathematics Teaching Computer algebra CV

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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

On the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics , Open Math. 2018; 16: 46–62.
On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves , Canad. Math. Bull. 60(2017), 522-535. With Alain Leytem.
On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics , Rend. Istit. Mat. Univ. Trieste, Volume 48 (2016), 565-586.

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.

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