
Although I broadened my knowledge in a variety of fields in graduate school, the one subject that has endeared me the most is math. I have always enjoyed math but my relationship with it deepened in graduate school. Through graduate school studies and projects I came to appreciate both the simplicity and complexity that math encompasses. The title of my website comes from the fact that large swaths of modern endeavors (robotics, electronics, navigation, computer-aided design and almost all scientific research) are fundamentally dependent on the eight axioms of vector spaces.
Graduate school provided me the opportunity to practice thinking mathematically. The ability to mathematically model the world around me greatly increased the range of projects and ideas that I could execute by coding. In my first Ph.D. project, to mechanically characterize a prosthetic implant, I replicated motion of the humerus (recorded from human subjects via motion capture technology) on an industrial robot. It was incredibly satisfying and useful to express an idea in mathematical language, then translate the math to code that effects the idea in the physical world. This project helped me grasp the power of combining mathematics and programming to bring an idea to fruition. I find that math and programming are complementary - whereas the former builds complexity from the ground up, the latter allows one to encompass and utilize this complexity.
Mathematics and programming are infinitely engrossing pursuits; I can code and study math simply for the joy of doing so. However, I recognize that - for me - pursuing only intellectual curiosity is not a fulfilling path in life. Having lived in a developing country previously, I am grateful for my safe comfortable apartment, hot and cold running water, easy access to nutritious food, modern transportation infrastructure, high-quality sanitary healthcare, and a first-rate education. From this gratitude rises the desire to help every person in the world obtain access to these resources. Although my perspective may be skewed by my passion for math and science, I believe that the technological capabilities that we have developed in the last few decades bear the potential to provide a marked improvement in life quality for every human being on this planet. My objective, although abstract and shapeless for now, is to help translate this latent possibility into reality. I am not seeking a panacea - neither do I think that technology is one - but simply a way that my time, energy, skills, and experience can be utilized towards bettering the lives of my fellow human beings. So stay tuned, and if you have ideas please let me know!