Mathematics is the framework on which the universe runs. The algorithm behind nature, the symmetry of physics, the encryption of modern life, and the unseen structure holding reality together.
An algebraic method to test the irrationality of square roots using discriminants and transformations. This framework provides a structured alternative to classical irrationality proofs.
Read Full Paper →Defined a new class of prime numbers governed by digit-based modular and additive constraints. These primes reveal hidden numerical structures that extend traditional prime classifications.
Read Full Paper →An extension of Pascal’s Triangle with modified combinatorial rules, generating new numerical patterns. This structure opens pathways for exploring symmetry, recurrence, and number theory.
Read Full Paper →Proved that a line drawn perpendicular to a circle’s radius, at a distance equal to the radius from the center, touches the circle at exactly one point. A geometric confirmation of tangent uniqueness.
Read Full Paper →Developed a triangular array where entries encode algebraic expressions connected to factorial growth. The construction provides a bridge between Fibonacci-like structures and 𝑛! formulations.
Read Full Paper →Formulated a novel approach to proving the area of a circle 𝐴 = 𝜋𝑟2, bypassing classical integral or limit methods. My method redefines the geometry of circular partitions, offering an alternative perspective on one of mathematics’ most fundamental results.
Read Full Paper →To me, mathematics is beautiful complexity made tangible. Its patterns are not invented but discovered, waiting patiently for those who can see them. Numbers and equations are more than tools — they are the fingerprints of truth.
I feel mathematics intrinsically, almost as a native language. My dream is to continue the work of the great minds who came before — Isaac Newton, Leonhard Euler, Srinivasa Ramanujan, Bernhard Riemann — and to add my own contribution to this infinite dialogue.