Miraj Pathak

My Theoretical Journey
I am an independent mathematical theorist and researcher dedicated to exploring the hidden structures within number theory and algebra. My work is driven by a desire to simplify the complex—taking abstract concepts and distilling them into functional identities.

My Identities: I developed Miraj's Numo and Miraj's Cubo as algebraic tools to bridge the gap between higher powers and the simplicity of squares. It was a proud moment to see these indexed by institutions like Harvard (HOLLIS) and the National University of Singapore.

The Continuum: Through the Pathak Continuum Compression Hypothesis (PCCH), I’m currently investigating how we perceive prime number distribution, treating the number line as a dynamic continuum rather than a static sequence.

Numerical Interaction: With PTNI, I’m working on defining how numbers "interact" based on their relative positions, creating a framework that I hope will eventually aid in more efficient computational logic.

My Academic & Research Mission
I am currently pursuing my BSc (Hons) in Software Engineering at Softwarica College. While my background is deeply rooted in pure math, I’m fascinated by how these theories can be applied to software and physics.

Open Science: I’m a big believer in accessible research. Having earned my NASA Open Science certification, I focus on ensuring that my peer reviews and research contributions follow ethical, collaborative standards.

Global Community: Whether I'm representing the International Astronomy and Astrophysics Competition as an Ambassador or participating in the American Physical Society, I aim to put Nepal’s young research community on the global map.

What Drives Me
I don't see math as just a set of rules to follow, but as a language to be expanded. Achieving Rank 7 in the National Math Olympiad was a great milestone, but for me, the real win is finding a new way to look at a problem that hasn't been seen before. I’m essentially a builder—whether I’m building code or building new algebraic identities.