• Geometric and Combinatorial Group Theory
• Algorithmic Group Theory
• Low-dimensional Topology
• Algebraic geometry over groups (equations over groups)
• Applications of group theory to wild spaces (non semi-locally simply connected spaces)

Selected Papers

• On finite systems of equations in acylindrically hyperbolic groups
  https://arxiv.org/abs/1903.10906
• Equations in acylindrically hyperbolic groups and verbal closedness
  https://arxiv.org/pdf/1805.08071.pdf
• An algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group,
  International J. of Algebra and Computation, 2016, 39 pages. DOI: 10.1142/S0218196716500028