🎓 PhD Student in Aerospace & Mechanical Engineering with Computational Science & Engineering at University of Tennessee, Knoxville.
🎓 MS in Applied Mathematics with Computational Science & Engineering from North Carolina State University, Raleigh.
🔬 Specializing in Scientific Machine Learning · Digital Twins · Computational Fluid Dynamics · Uncertainty Quantification
📄 25+ publications in top journals including Propulsion & Power Research, Arabian Journal for Science & Engineering, Journal of Applied Fluid Mechanics, and arXiv.
Scientific Machine Learning • Mathematical Modeling & Simulation
Numerical Methods for PDEs • Computational Fluid Dynamics
Predictive Digital Twins • Uncertainty Quantification
Languages & Scientific Computing
ML / Deep Learning
Simulation & Modeling Tools
Data & Visualization
| 🥇 Competition Rank 1 | 🥈 Competition Rank 2 | 🐍 Python | 🦆 Discussion |
|---|---|---|---|
| Gold | Silver | Python Expert | Community Contributor |
| Year | Paper | Venue |
|---|---|---|
| 2025 | Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation | arXiv:2512.09165 |
| 2025 | Recent Advances in Modified Arrhenius Activation Energy in Williamson Nanofluid Flow | Propulsion & Power Research |
| 2025 | Uncertainty Quantification in Steady-State Heat Transfer: DRAM and MCMC Methods | Spectrum of Eng. & Mgmt. Sciences |
| 2025 | Population Balance Equations for Coupled Particle Growth: Homotopy Analysis | Arabian Journal for Science & Eng. |
| 2024 | Flow Patterns Behind Square Cylinders Using Lattice Boltzmann Method | Journal of Applied Fluid Mechanics |
| 2024 | Advanced Numerical Simulations of Lid-Driven Cavity Flows | Computational Algorithms & Numerical Dimensions |
| 2024 | Tumor Detection in MRI Data using Deep Learning | Sustainable Machine Intelligence Journal |
| 2022 | Novel Numerical Treatment of Nonlinear Gradient Elution Chromatography | Mathematical Problems in Engineering |
| 2021 | Numerical Approximation of Nonlinear Gradient Elution Chromatography | Journal of Liquid Chromatography |
📖 Full publication list on Google Scholar & ResearchGate
| Year | Talk | Conference |
|---|---|---|
| 2025 | ML with Statistical Analysis for Population Balance Equations | APS March & April Meeting, Anaheim CA |
| 2025 | Mathematical Modeling of 2D Nonlinear Gradient Elution Chromatography | JMM 2025, Seattle WA |
| 2024 | 2D Modeling of Nonlinear Isothermal Gradient Elution Chromatography | APS DFD, Salt Lake City UT |
| 2024 | Efficient Numerical Approaches for Nonlinear Chromatography Models | APS March Meeting, Minneapolis MN |
| 2023 | Finite Volume Schemes in Multi-Component Gradient Elution Chromatography | APS DFD, Washington DC |
| 2023 | Optimizing Gradient Elution Chromatography: A Finite Volume Approach | SEARCDE 2023, Tallahassee FL |
| Institution | Course | Role | Year |
|---|---|---|---|
| NC State University | MA 405: Introduction to Linear Algebra | Graduate TA | 2024 |
| NC State University | MA 402: Mathematics of Scientific Computing | Graduate TA | 2023 |
| NC State University | MA 331: Differential Equations for Life Sciences | Graduate TA | 2023 |
| NC State University | MA 132: Computational Math for Life Sciences | Graduate TA | 2022 |
| COMSATS Sahiwal | Fluid Mechanics, Numerical Analysis, PDEs | Visiting Lecturer | 2021 |
| COMSATS Islamabad | Numerical Linear Algebra, Numerical PDEs I & II | Teaching Assistant | 2020 |
| Govt. College Sahiwal | Calculus, Classical Mechanics, ODEs | Visiting Lecturer | 2018–19 |
"Mathematics is the language in which God has written the universe." — Galileo Galilei
⭐ Open to collaborations in Scientific ML, Numerical Methods, Digital Twins & Computational Mathematics!