I am a graduate student at Missouri S&T with a strong interest in quantum computing and mathematics, particularly in advanced linear algebra, and group theory. I am deeply fascinated by exploring and understanding mathematical equations and proofs in depth.

Stack Exchange has been an important part of my self-learning process, and I’ve gained a lot from the community while sharing some of what I’ve learned along the way. Here are a few highlights of my contributions MathSE:

1. Filippov's Inductive proof for Jordan Canonical form: Provided a detailed explanation and visual aid for the proof after extended discussions.
2. Prove $|f(y) − f(x)| \leq f(|y − x|)$ if $|y − x| ≤ 1/2$ given $f(x)=-x\log_2 x$: Analyzed the behavior of the inequality and proved a bound with detailed steps and reasoning.
3. Understanding the Expression $tr\Big(\rho(X\otimes I)\Big)=\sum_{a,b,a',b'} \rho_{ab,a'b'}X_{a,a'}\delta_{b,b'}$: Initiated and contributed to a detailed discussion on the trace properties of tensor products.
4. The median minimizes the sum of absolute deviations (the $ℓ_1$ norm): Provided a detailed explanation of a standard proof with an original example.