Interests

My main interest in mathematics is algebraic topology, inclined towards a geometric approach. I am interested in Configuration Spaces, Multisimplicial Sets, Algebraic Topology operations, Formality, and Geometric (Co)Homology.

Current works

I am working on higher cup products and geometric interpretation of the Massey triple product in the context of Geometric Cohomology with an eye on his application to the formality of configuration spaces.

". . . geometry is the art of reasoning well from badly drawn figures; however, these figures, if they are not to deceive us, must satisfy certain conditions; the proportions may be grossly altered, but the relative positions of the different parts must not be upset."

Henri Poincaré