Mathematics & Computing Undergraduate | Birla Institute of Technology, Mesra 🎓
📍 Ranchi, India · 📧 [email protected] · 🔗 LinkedIn
I am a Mathematics & Computing undergraduate focused on the mathematical and computational foundations of intelligent systems. While much of the tech industry prioritizes empirical benchmark gains, I am driven by understanding the underlying mechanics—exploring why algorithms behave the way they do.
My core interests lie at the intersection of:
- 📉 Numerical Analysis & Scientific Computing: Error stability, stiffness, and computational mechanics.
- 🧠 Machine Learning Theory & Optimization: Convergence dynamics, generalization bounds, and algorithmic interpretability.
- 📐 Mathematical Modeling: Bridging abstract theoretical frameworks with scalable computational implementations to solve complex, high-dimensional engineering problems.
Driven by curiosity and rigorous problem solving, I am always open to research opportunities, academic collaborations, and intellectually challenging technical projects.
- 🔭 Current Project: Investigating optimization dynamics, loss landscapes, and numerical error analysis for Physics-Informed Neural Networks (PINNs) applied to ordinary differential equations (ODEs).
- 🌱 Deepening Knowledge: Advanced numerical methods for PDEs, functional analysis, and optimization dynamics in deep learning.
- 👯 Collaborative Interests: Scientific Machine Learning (SciML), novel differential equation solvers, and computational foundations of AI.
- 💬 Ask Me About: Python, PyTorch, PINNs, scientific computing, and the role of mathematical rigor in AI architectures.
Linear Algebra · Vector Calculus · ODEs/PDEs · Probability & Statistics · Optimization Theory · Functional Analysis
