Research Problems

Here are a few research questions (both successful and unsucesseful projects) that I have worked on:

1. "Is there a well-behaved theory for Symmetric Lorentzian polynomials?"

Masters' thesis on Symmetric Lorentzian Polynomials  

2. "What do the Weyl alternation diagrams over sp_6(C) (and other Lie algebras) look like, i.e. what are the patterns on the root lattice?"
   On Weyl Alternation sets on Sp_6(C)

3.  "Given a rectangle R with integer side length, what is the minimum number of squares (of arbitrary size) that we need to cover R?"
   GRWC 2022 Problem Proposal 

4. "What are the best ways we can construct minimal generating sets of invariant monomials (under finite group actions)?"

5. "Do maximal sets of mutually unbiased bases exist in composite dimensions?"
   On Mutually Unbiased Bases and Hadamard Matrices (bachelor's thesis), Finite Geometries and Quantum Systems