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I am an applied mathematician with a strong interest in Computational Science, and in using Scientific Machine Learning (SciML) to enhance traditional numerical methods.

I received my MSc in Mathematics from King Fahd University of Petroleum and Minerals (KFUPM), where I solved quantum eigenvalue problems using Physics-Informed Neural Networks.

My research goals are to:

• Develop computationally efficient algorithms that scale to high-dimensional problems.
• Design structure-preserving ML methods that respect physical structures (e.g., symmetries, conservation laws, energy dissipation).
• Reduce reliance on ad-hoc hyperparameter tuning by ensuring provable guarantees (e.g., accuracy, convergence, stability) for ML approaches to complex problems.

Research Interest:

• Scientific Machine Learning, AI for Science;
• Data-driven reduced-order modeling;
• Inverse Problems;
• Computational Fluid Dynamics (CFD);

Education

• M.Sc. in Mathematics, King Fahd University of Petroleum and Minerals, 2024
• B.Sc. in Mathematics, University of Ilorin, 2021
  • Admitted through Direct Entry (IJMB A-Level, 13/16 points), enabling completion of the degree in three years (excluding the COVID-19 academic break).

Conference, Seminars and Workshop

• [2025]: Data to Decisions in the E&P – Bridging the Gap with Machine Learning (Workshop), KFUPM CPG
  • Attended the short course Scientific Machine Learning for the E&P, and the technical session on the Current Reality of AI/ML.
• [2024]: MathConnect 2024: International Conference of Mathematics and its Applications
• [2024]: First KFUPM Interdisciplinary Graduate Student Conference
  • I presented my research with the title, “Can Neural Networks learn Eigenpairs?”, and won an award for the presentation.
• [2023]: Physics Informed Neural Networks (PINNs) for Quantum Eigenvalue Problems, KFUPM Mathematics Department Seminar
  • Gave a talk on PINN and its implementation in solving Quantum Eigenvalue problems.

Honors and Awards

• [2024]: First KFUPM Interdisciplinary Graduate Student Conference
  • Awarded 3rd research presentation award and a cash price.
• [2022]: King Fahd University of Petroleum and Minerals Deanship of Graduate Scholarship
  • Awarded full scholarship for an MSc in Mathematics
• [2020]: Federal Scholarship Board (FSB) National Awards, Federal Ministry of Education, Nigeria
  • Received the prestigious Federal Government of Nigeria scholarship award which offers renewable cash award per annum until graduation.
• [2019]: NAMSSN Unilorin Award of Academic Excellence
  • Received an award of academic excellence for having a GPA of 4.98/5.0 after the 2018/2019 academic year.

Miscellaneous

• [09/2025] Since I cannot officially register courses, I am attending Prof. Rachid Ait Haddou's class on Inverse and Ill-posed Problems. A key takeaway from his lectures is his remark: Understand the physics of your problem, and the mathematics becomes easy.
• [07/2025]: Despite taking several courses, I find it quite disappointing not to have taken any course on conservation laws. Anyways, I have been studying the book by Randall LeVeque, Numerical Methods for Conservation Laws. The introduction is really friendly, it gets much more interesting as you move past each chapter, and some of the exercises looks simple but challenging. It is a really good book, and I'd advise anyone in my shoe to check it out.
• [07/2025]: I also find Computational Fluid Dynamics (CFD) fascinating, it is almost ubiquitous, from Aerospace to the Petroleum industries, fluids surrounds us and like many others, they are governed by several laws of physics/mathematics. I spent much of my summer studying Computational Methods for Multiphase Flows in Porous Media published by SIAM. Though, restricted to FEM and Porous media (where conservation of momentum is modeled by Darcy's law), the book is interesting because just like in LeVeque, the beginning chapters summarizes the bulk of concepts of fluid flow (in porous media).
• [07/2025]: Other books which I recently studied (in parts) in my free time and are also interesting are:
  • Programming Phase-Field Modeling, by Bulent Biner;
  • Fundamentals of Multiphase Flow, by Christopher Brennen;
• I appreciate book suggestions, and I'm grateful to KFUPM Library for borrowing me most of the books listed above.