I specialize in Numerical Analysis as a computational mathematician, focusing on formulating numerical methods to address challenges in Biology and Physics. My past projects include utilizing Finite Differences to simulate biofilm growth. Lately, I've delved into Computational Fluid Dynamics, particularly working with the Navier-Stokes Equation. My current research centers around the non-linear Helmholtz equation, which describes electromagnetic wave behavior in Kerr media.  I currently conduct research on convergence, stability and error analysis of numerical schemes for partial differential equations.