Mathematics and Computer Modeling

Everything is the world is a system, from the computer you are using to access this web page to the material flows from the environment required to create said computer. In order to gain insight into how these systems work and predict future behavior, models of the system must be created. The art of creating a model is a tricky one and depends highly on the question one is seeking to answer. Once the model is created, one needs to be able to analyze is, requiring knowledge of mathematics and computer programming to understand and simulate model behavior.

Below is a selection of my experiences relevant to mathematics and computer modeling:

• 3D Computer Graphics: An exploration of the mathematics underlying 3D computer graphics.
• Searching for a Global Environmental Kuznet's Curve: A statistical examination of the proposed Environmental Kuznet's Curve, which claims that the relationship between environmental degradation and economic status has an inverted U-shape.
• Educational Research Statistician at Olin College: Responsible for forming hypotheses and performing statistical analysis and visualizations for engineering education research.
  
• Bioinformatician at TGen: Creating visualization tools to make the analysis of the large data sets generated by proteomics research much simpler, faster, and more reliable.
  
• Simulation of n-Body Systems of Charges: Ever wanted to know how charges interact? This game will provide you with an intuitive understanding of complex electromagnetic concepts.
  
• An Investigation of the Homopolar Generator: A quantitative analysis of the performance of homopolar generators depending on several parameters.