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 in Math SE:

1. 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.
2. Understanding Filippov's Inductive Proof for Jordan Canonical Form: Provided a detailed explanation and visual aid for the proof after extended discussions.
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.
5. Real roots of the equation $\log_{(5x+4)}(2x+3)^3-\log_{(2x+3)}(10x^2+23x+12)=1$: Investigated the real roots of a logarithmic equation, providing cases and constraints, and collaborated on refining the solution for accuracy and completeness.
6. Determinant using factor theorem: Explored the factor theorem's application to determinants, collaboratively analyzing symmetric polynomial factors and their implications.

My participation in the forums has led to over 4000 pages of detailed, structured notes on advanced mathematics and quantum computing, showcased on my personal website. The site also highlights additional key contributions in a dedicated Stack Exchange section.