PhD Researcher in Mathematics

Exploring structural symmetries in recursive systems — Pure Mathematics at Computational Scale.

• Computational Number Theory: Fibonacci modulo structures, elliptic curves & modular phenomena.
• Arithmetic Dynamics: Fibonacci orbits over finite fields $\mathbb{F}_p$.
• Prime Distribution: Structural corrections in prime-gap models.
• Recursive Models: Higher-order Pisano period analysis.

• Developing corrected structural models for prime distribution.
• Investigating structural relationships between Legendre sums ($S_p$) and Frobenius traces ($a_p$).
• Building high-performance computational frameworks for large-scale arithmetic analysis.

• 🚀 Fibonacci-Prime-Analysis
• 📉 Prime-Decomposition
• 📐 Pisano-Correction

Python | SageMath | NumPy | SymPy | HPC Computing | LaTeX

• Elliptic Cohomology & Galois Representations
• Arithmetic Topology
• Large-Scale Computational Mathematics

• 📧 majid.ghandali@gmail.com
• 🎓 Google Scholar
• 📄 arXiv