My Ph.D. is in the area of Algebraic Number Theory. I specifically focus on the algebraic theory of quadratic forms over a Number Field. I am especially inquisitive about exploring the interplay between Number Theory, Analysis, and Algebraic Geometry. A very integral part of my research is concentrated on coming up with new, rigorous algebraic and/or number theoretic proofs of the problems that have been solved previously using sophisticated methods from Analysis and Algebraic Geometry