About Matthias

I am a Ph.D. candidate in Mathematics at the University of Alabama, advised by Prof. Shan Zhao and Prof. Yuanzhen Shao and supported by NSF grants DMS-2306991 and DMS-2512104. My thesis work is on numerical algorithms for partial differential equations, applied to biomolecular solvation. Since my master's I have also kept up a second line of work in mathematical epidemiology, building and analyzing compartmental models of transmission and control.

Previously, I earned a B.Sc. in Mathematics with Economics from the University of Cape Coast, an M.Sc. in Mathematical Sciences from AIMS Ghana, and a graduate certificate in Business Management from ESMT Berlin, alongside working as a Sales Operations Analyst at FanMilk Plc.

Specifically, my current research focuses on:

• Algorithm Development: Designing and analyzing numerical algorithms for ordinary and partial differential equations, and establishing their stability and convergence.
• Computational Biophysics: Applying those schemes to problems in molecular biology, mostly solvation energy calculations and binding analysis.
• Mathematical Epidemiology: Building and analyzing nonlinear compartmental models, using reproduction numbers via the next-generation matrix, stability and bifurcation analysis, and optimal control and cost-effectiveness analysis. So far I have applied these methods to the spread of crime and the role of imitation in it, and I am now working toward infectious disease. More on this work →