I hold a BSc in Physics, a MSc in Pure Math and a Phd in Mathematical Physics, dealing with the braided Hopf algebraic structure of parastatistics.

During my 2-year postdoctoral stay at the Instituto de Física y Matemáticas, UMSNH, I worked -among others- on the computations of arithmetic values of solutions of confluent Heunn equations in the Ince limit, stemming from brane-world scenarios problems.

My study and research has mainly revolved around paraparticle algebras, (braided) Hopf algebras, graded algebras, $\theta$-colored, $G$-graded Lie algebras, (Lie) super-algebras, representations, quasitriangularity, braidings, Braided Monoidal Categories, Bosonization and Reconstruction theories and trilinear recurrence relations stemming from theoretical physics scenarios. I have also studied integrability and superintegrability both at the classical and the quantum level.

I am also strongly interested in the classification projects of Hopf algebras (such as the theory of pointed Hopf algebras), Homological algebra (Abelian, Derived and Triangulated Categories), and in Number Theory as well.