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USD 75 /hr

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Hire YASIR B.

India

USD 75 /hr

PhD Researcher | 5+ Years in Spectral Graph Theory & Matrix Analysis | Scientific Computing (Python, Mathematica)

Profile Summary

I am a PhD researcher specializing in Spectral Graph Theory and Computational Mathematics, with primary research focused on eigenvalue analysis, Laplacian and ABC-type matrices, graph energy, and spectral bounds. My work integrates rigorous mathematical proof development with high-precision computational validation using Python (NumPy, SciPy) and Wolfram Mathematica. My research involves deriving general spectral formulas, establishing extremal bounds, analyzing structural properties of graph families (including line graphs and corona products), and investigating connections between spectral invariants and combinatorial graph parameters. I have extensive experience in symbolic computation, matrix analysis, and designing deterministic computational experiments to verify theoretical results. I am particularly interested in advancing research at the intersection of spectral theory, linear algebra, and algorithmic graph structures, where deep theoretical reasoning and computational precision are both essential.

Subject Matter Expertise

• ☆ Pure Mathematics
• ☆ Fractals
• ☆ Number Theory
• ☆ Categorical Algebra
• ☆ Algebra
• ☆ Calculus
• ☆ Mathematical Analysis
• ☆ Geometry
• ☆ Mathematical Logic
• ☆ Topology
• ☆ Graph Theory
• ☆ Discrete Mathematics
• ☆ Integral Equations

Services

• Research
• Product Development

Research Scientific and Technical Research, Systematic Literature Review

Product Development Formulation, Concept Development

Work Experience

Researcher

Islamic University of Science and Technology

October 2023 - Present

Ph.D. Research Scholar

Islamic University of Science and Technology, Awantipora, India

October 2023 - Present

Education

Ph.D. Research Scholar (Department of Mathematical Sciences)

Islamic University of Science and Technology

2023 - Present

Certifications

• Certification details not provided.

Publications

JOURNAL ARTICLE

Yasir Bashir, Bilal A. Chat, Bilal Ahmad Rather (2026). Regression-based analysis of topological indices in simple molecular graphs of anti-HIV drug compounds . The Journal of Supercomputing.

Yasir Bashir, Bilal A. Chat (2025). Structural and spectral analysis of Fibonacci graphs and their zagreb indices . Afrika Matematika.