About Me & Research Focus

I am a PhD student in Computational and Applied Mathematics with research interests in the numerical analysis of partial differential equations, finite element methods, and mixed-dimensional modeling. I am working under the supervision of Dr Beatrice Riviere. My work focuses on developing, analyzing, and implementing stable and convergent schemes for coupled 3D–1D PDE systems, with applications in porous media and network flow problems.

Current Research Project

Coupled 3D–1D Advection-Diffusion PDEs
I am currently working on a project that couples three-dimensional and multiple one-dimensional diffusion equations to model flows in porous media and networked structures. The focus is on creating stable numerical schemes and analyzing their convergence properties.

Research Methods & Interests

• Discontinuous Galerkin Methods
• Finite Element Methods (FEM)
• Scientific Machine Learning
• Scientific Computing
• Numerical Linear Algebra
• Optimization

  Beyond Research

Outside of research, I enjoy reading, music, personal development, and engaging in faith-based and community activities. I value balance and believe creativity outside mathematics strengthens my academic work.