I am a Computational Scientist and Ph.D. Candidate in Computing (CMSE) at Boise State University, affiliated with the School of Computing. My research centers on the development and implementation of numerical methods for continuum solvation models, with applications in catalysis and materials modeling. I specialize in high-performance computing (HPC), scientific code development, and the optimization of algorithms for large-scale simulations and data analysis.

My Research

My research centers on developing high-accuracy numerical solvers for partial differential equations (PDEs) with interface discontinuities and complex geometries, particularly in electrostatics for continuum solvation models , materials modeling specifically Transition metal decalcogenides (TMDs) as catalysts, and multi-domain physics. My research work extensively revolves around the immersed interface method (IIM) and embedded boundary techniques, crafting robust algorithms that preserve sharp jump conditions across irregular domains in both 2D and 3D.

At the core of my work is the integration of spectral solvers (e.g., discrete sine transforms) with iterative Krylov methods like GMRES to efficiently solve large-scale elliptic systems. I implement these solvers in hybrid Python codebases optimized for high-performance computing (HPC) clusters. My goal is to create scalable, accurate numerical frameworks that bridge mathematical rigor with real-world applications in electrostatics, fluid interfaces, and materials science.

I also explore data-driven acceleration techniques—such as reduced models and RBF interpolation—to enable faster simulations without sacrificing physical accuracy. My work emphasizes modularity, reproducibility, and performance portability, ensuring that scientific computing pipelines remain adaptable across domains.

Research Interests

• Immersed Interface & Embedded Boundary Methods I design finite difference and interpolation-based solvers for elliptic PDEs with interface jumps in complex domains, enabling accurate treatment of heterogeneous media and sharp interfaces.

• Spectral & Krylov Solvers for Poisson-Type Equations I combine fast sine/cosine transforms with iterative solvers (e.g., GMRES) to handle interface-coupled electrostatic systems with high accuracy and efficiency.

• High-Performance Scientific Computing My code runs on SLURM-based HPC clusters using MPI-parallel workflows and hybrid Python–Fortran backends, supporting large-scale 3D simulations with jump conditions and region-based source terms.

• Radial Basis Function (RBF) Interpolation & Interface Fitting I apply RBFs for accurate geometric representation of curved interfaces and for computing geometrical quantities (normals, curvatures) needed in jump condition enforcement.

• In Silico Materials Modeling I use DFT codes (Quantum ESPRESSO, ASE) to compute electrostatic and vibrational properties, connecting numerical interface solvers to electronic structure data.

• Data-Driven Physics While not my primary focus, I explore how machine learning and symbolic regression can be used to accelerate components of traditional PDE solvers or extract interpretable physical laws from simulation data.

Technical Skills

• Programming & Scientific Computing Python (NumPy, SciPy, Matplotlib, SymPy), Bash, Git, SLURM job scripting

• Numerical Solvers Finite difference methods, discrete transforms (DST, DCT), iterative solvers (GMRES, BiCG), matrix-free methods, RBF interpolation, SVD/PCA analysis

• Scientific Libraries & Tools MPI, ASE, Phonopy, Quantum ESPRESSO, Matplotlib

• HPC & Performance Optimization MPI, hybrid Python–Fortran pipelines, job arrays, profiling with gprof and line_profiler, cluster deployment (HPC SLURM environment)

• Visualization & Data Analysis Matplotlib, ParaView, Plotly, Pandas, 3D visualization ( matplotlib 3D), LaTeX

Education

• Ph.D. in Computing (Computational Mathematics Science and Engineering)
  Boise State University, Boise, ID, USA — Expected to graduate by Fall 2026

• M.Sc. in Mathematical Sciences (Climate modeling and Data Assimilation)
  African Institute for Mathematical Sciences (AIMS), Kigali, Rwanda — 2020–2021

• B.ScED. Mathematics & Physics
  Makerere University, Kampala, Uganda— 2014–2018

Recent Updates

• April 2025
  Awarded the CASCADE RAIN 2025 travel award Awarded the Cascade RAIN 2025 Travel Award in recognition of graduate research contributions in applied mathematics. The award supports conference travel and highlights emerging researcgh in the field.

• September 2024
  Received ACS FALL 2024 best oral presentation Award ACSF ALL 2024 at the “Accelerating Catalytic Advancements Through the Precision of High-Throughput Experiments & Calculations” symposium during the ACS Fall 2024 Conference in Denver, CO. The award recognized excellence in presenting cutting-edge research in computational catalysis.

• July 2024
  Attended a workshop on Quantum multiscale modeling at BSU organized by Dr. Oliviero Andreussi as his collaborators Quantum multiscale modeling

Awards

• 2024
  • ACS FALL 2024 best oral presentation
  • CASCADE RAIN Travel Awards – For presentations at a conferemce about applied mathematics and Numerical methods in Oregon State University
• 2022
  • Boise State GEM Scholarship – Merit-based graduate award
  • Graduate Assistantship – Research funding from Boise State University
• 2020
  • AIMS Master’s Scholarship (Mastercard Foundation) – Full scholarship for climate-focused graduate studies
• 2014
  • The Uganda Government National Merit Scholarship – Full undergraduate scholarship based on academic excellence at Makerere University