I am carrying out research in semigroup theory, studying the structures of semigroups. More specifically, I am considering questions related to the properties of half-congruences and  negatively and left/right negatively orderable semigroups, their different characterisations and connections with algebraic algorithm theory.

I am researching a generalisation of Goldbach's conjecture that has not been checked previously: I am interested in its empirical verification and related questions.

Studying combinatorial questions regarding the finiteness of certain deterministic card games, counting certain types of directed graphs.