My field of research is Combinatorial and geometric Group and Semigroup theory. I work on the following topics: decision problems in groups and monoids , like the word problem , the conjugacy problem, the membership problem; the existence of rewriting systems, left-orderability of groups and other related questions with a particular interest in the following families of groups: knot groups, braid groups, Artin groups, Garside groups, structure groups related to the Yang-Baxter equation, Bieberbach groups..