I am still figuring out which field excites me the most. Currently, I'm inclined towards Discrete and Convex Geometry. I worked on 7 distinct projects throughout my bachelor's degree, and I explored several fields, including Discrete and Convex Geometry, Operator Theory, Functional Analysis, Real Analysis, Approximation Theory, Matrix Analysis and Graph Theory on a surface level. I published 2 papers as a co-author based on my undergrad research work.
I am currently exploring the Hadwiger's conjecture (every n-dimensional convex body can be covered by at most 2^n of its smaller homothetic copies) for certain classes of convex bodies under the supervision of Drs. Arndrii Arman and Andriy Prymak.
A study on Hadwiger's Conjecture for Cap Bodies in 3-D
Supervisors: Dr. Andrii Arman and Dr. Andriy Prymak
A study on Realization Theory (operator theory)
Supervisor: Dr. Robert Martin
A study on Whitney-type estimates for convex functions
Supervisor: Dr. Andriy Prymak
A study on Chip Firing Games and Smith Normal Forms (PIMS project)
Supervisors: Dr. Mahsa Nasrollahishirazi and Dr. Raghu Pantangi
A study on Dihedral Hadamard Matrices
Supervisor: Dr. Robert Craigen
A study on Boolean Filters for circulant weighing matrices
Supervisor: Dr. Robert Craigen
A study on the Eigenvalues of Stochastic Matrices with a Stationary Distribution
Supervisor: Dr. Susan Cooper and Dr. Stephen Kirkland