Viktor Levandovskyy

Viktor Levandovskyy is a Visiting Professor at the Institute of Mathematics, Faculty of Mathematics and Natural Sciences, University of Kassel, Germany. He previously held the position of Assistant Professor at RWTH Aachen University and has been a postdoctoral researcher at the Research Institute for Symbolic Computation in Linz, Austria.

His research focuses on Algebra, Computer Algebra, and Non-commutative Gröbner Bases, with significant applications in differential equations, symbolic computation, and control theory. His work bridges theoretical mathematics with practical algorithm development and software implementation.

His recent publications demonstrate a strong trend in non-commutative algebraic computations, particularly in developing and applying Gröbner basis techniques for free algebras and Ore localizations, often implemented within the Singular computer algebra system. His work spans pure algebra (e.g., the Dixmier Conjecture) to applied symbolic methods (e.g., structural optimization).

• Co-editor, Journal of Symbolic Computation, Special Issue on Symbolic Computation and its Applications (2012)
• Co-editor, Journal of Symbolic Computation, Special Issue on Non-commutative Gröbner Bases and Applications (2007)

Levandovskyy has led significant software development projects, most notably the Plural and Letterplace subsystems of Singular. He has advised students and led research teams, contributing to a network of over 5,700 reads and 769 citations. His work involves extensive collaboration with researchers in algebra and computer science.

He is actively involved in the computer algebra community, presenting at major conferences like ISSAC and MTNS, and his research continues to advance algorithmic methods in non-commutative algebra.