University of California, Los Angeles
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Los Angeles, CA 90095
Office: MS 3915C
Spring 2020: TA for Math 134 (Nonlinear Systems of Differential Equations) section 2 and Math 151A (Applied Numerical Methods) section 4.
Classical mechanics: Many concepts and techniques in the field of differential equations were introduced for the study of mechanics, but the connection between the math and physics perspectives is often lost in translation. The goal of these expository notes is to rigorously present the main framework of the physics theory, highlight the relevant mathematical concepts, and to see mechanical systems as an example of the corresponding math ideas. This is an ongoing side project for personal instruction, and any comments are welcomed.
Undergraduate physics thesis: This is a senior thesis on quantum field theory in curved spacetime, submitted as part of the honors undergraduate physics degree at the University of Michigan under the guidance of Professor Leopoldo Pando Zayas. This summary paper describes the Unruh effect and Hawking radiation in both Minkowski and anti-de Sitter space, and discusses the anti-de Sitter/conformal field theory (AdS/CFT) correspondence.