I am a current graduate student at Boston University studying physics working with Prof. Hongwan Liu. My main research interests lie in anything at the intersection of cosmology and high energy physics.
I recently completed by undergraduate degree with a double major in Physics and Mathematics at Haverford College. My physics thesis, Particle Self-Energies in the BSBM Model of a Varying Fine Structure Constant was advised by Prof. Daniel Grin. In my thesis, I studied one model, the Bekestein-Sandvick-Barrow-Magueijo (BSBM) model, which could explain a potential variation of the fine structure constant. Specifically, I used quantum field theory to This model adds in a new scalar field that is coupled with photons. Calculating particle self-energies in this model is Crucial to understanding the energy scale of the theory, but previous calculations have relied on semi-classical approximations. In my thesis, I developed Feynman rules and used quantum field theory to tackle this problem. For my work, I was awarded the The Faculty-Student Collaborative Research Prize and High Honors in Physics.
My mathematics thesis, The Order of Selmer Groups of Congruent Number Curves over Real Quadratic Fields was advised by Prof. Anthony Kling. In this thesis, I sought to better understand the order of selmer groups, which are related to a bound on the rank of elliptic curves. In particular, I used graph theoretic techniques to determine the size of Selmer groups of congruent number curves, which are curves of the form \(y^2=x^3-n^2x\) over \(\boldsymbol{Q}(\sqrt{a})\) where \(a\equiv 5\) (mod 5). This is a generalization of previous work that had only considered these curves over the rationals. For my work, I was awarded Honors in Mathematics.
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