Research
I aspire to become an academic in the future. Here are some research projects that I have done since I started studying mathematics.
Algebraic Varieties
This is the essay that I wrote for my second-year module MA213 Second Year Essay.
In this essay, I introduce the theory of affine varieties and projective varieties and their importance in mathematics.
This essay assumes some knowledge of ring theory and topology.
This is the review article I wrote at the conclusion of my URSS project funded by the University of Warwick.
In this work, I introduce some basic knowledge of fluid dynamics and how researchers approach droplet problems in general. It includes the concept of nondimensionalization and applying the finite difference method to find numerical solutions when analytical approaches are no longer feasible.
This essay assumes some knowledge of linear algebra, multivariable calculus and PDE.
