Research & publications
I am interested in classifying groups according to the decidability and complexity of various algorithmic problems, such as the Diophantine problem. Below are some links to preprints of recent work.
Quadratic equations in metabelian Baumslag-Solitar groups (with Alexander Ushakov) to appear in International Journal of Algebra and Computation
The Diophantine problem for systems of algebraic equations with exponents (with Alexander Ushakov) to appear in Journal of Algebra