I love Galois theory and the many relations it has with group theory, number theory, algebraic geometry, algebraic topology, and Galois cohomology. I am very interested in encoding and decoding arithmetical properties of fields in absolute Galois groups.

Currently I am investigating central series associated with Galois groups and connections with Massey products.

Recently I am very much involved additionally in working in interdisciplinary team with Professors Lyle E. Muller, Mark Daley and number of awesome collaborators at Brain and Mind Institute, Applied Mathematics, Physics and Astronomy and department of Philosophy. I have been privileged to work also with some brilliant young graduate students like Oussama Hamza, Michal Cizek, Priya Bucha Jain, Marina Palaisti, Beatrice Chetard, Alexandra Busch, Bao Doan and awesome Posdoctoral Fellows like Tan Duy Nguyen, Tung T. Nguyen and Federico Pasini. We explore very exciting applications of mathematics in analysis of networks, graph theory , zeta functions and neuroscience. We also explore modeling of spread of Covid 19. It is very dramatic, exciting and wonderfully challenging and thrilling work!