Samrat S. Pathania
Revival of Euclidean Geometry
During my education, I felt the terrain of the mathematical landscape change as I traversed it, from applying mathematics as an engineer to discovering mathematics as a mathematician. I have realized that to understand its beauty, one must gain insight into how mathematics is discovered, or, if you prefer, invented. The Pythagorean Theorem emerges from simple, elegant axioms and theorems. Its beauty cannot shine through when it is presented as a mere formula to be memorized. However, when it is built in a student's mind axiomatically, it comes alive and is not easily forgotten. I would like to help my students connect to the beauty of this world, and to do so I must deepen my own understanding by continuing to study geometry axiomatically. Following in the footsteps of Euclid, I aim to mentor my students so that they may embark on their own rewarding explorations of the mathematical world.