Coding projects, open-source contributions, and practical applications
Built 10+ Manim animations to visualize novel mathematical concepts including Fibonacci methods, probability distributions, and number theory patterns. Garnered 500+ views on YouTube.
Technologies: Python, Manim, C++
Features:
• Mathematical animation framework
• Visual representations of research concepts
• Educational content creation
• Integration with research presentations
A comprehensive collection of useful Bash commands, Linux one-liners, and .bashrc customizations. Includes automation scripts and productivity tools for Unix-based systems.
Technologies: Bash, Shell
Scripting, Cron
Features:
• Cron job for auto-updating Homebrew monthly
• Personal notes and tutorial summaries
• Command aliases and shortcuts
• System automation scripts
Built for a client during IB Diploma Programme. Developed a full-stack Django-based CRUD platform connecting fertilizer wholesalers with farmers to streamline queries and product access.
Technologies: Python, Django, HTML,
CSS
Features:
• Complete CRUD operations
• User authentication and management
• Product catalog and search
• Query management system
• Responsive web design
Implementation of the USQ power-ratio function with high-precision arithmetic. Demonstrates the transition from instability to asymptotic certainty in various mathematical systems.
Technologies: C++, iomanip,
gmpxx.h
Features:
• High-precision calculations
• Visualization of convergence patterns
• Multiple application domains
• Performance optimization
GPU-accelerated implementation for finding Fibonacci numbers from Pascal triangle rows. Achieves exhaustive analysis of billions of combinations using CUDA parallel processing.
Technologies: CUDA, C++, GPU
Computing
Features:
• Parallel algorithm implementation
• Analysis up to 3²² combinations
• Memory optimization techniques
• Performance benchmarking tools
Computational framework for Discrete Square Residual Structures research. Performs large-scale numerical analysis and generates convergence visualizations.
Technologies: Python, NumPy,
Matplotlib, Pandas
Features:
• Infinite product calculations
• Convergence analysis up to μ=70,000
• Data visualization and plotting
• Statistical validation tools
Comprehensive comparison of different Fibonacci computation methods including Lucas's Pascal Triangle approach, dynamic programming, and matrix exponentiation.
Technologies: Python, C++, Jupyter
Notebook
Features:
• Multiple algorithm implementations
• Performance benchmarking
• Complexity analysis
• Educational documentation
Modern, minimalist portfolio website inspired by Nothing's design philosophy. Built with vanilla HTML, CSS, and JavaScript for optimal performance.
Technologies: HTML, CSS,
JavaScript
Features:
• Nothing-inspired dot matrix design
• Smooth animations and transitions
• Fully responsive layout
• Custom domain integration