Some things I've been working on:
🔬 MS Research Thesis at Northwestern
In the Spring and Summer of 2025 I conducted research towards my MS thesis at northwestern, advised by John Joseph Carrasco.Click Here to Learn More About My MS Thesis
âš› Independent Study at Northwestern
In the spring of 2025, I worked on an independent study where I thought and learned about classical and non-relativistic quantum mechanical limits of observables in quantum field theory, in preparation for conducting research over the summer towards a graduate thesis. Most of my time was spent studying Unitarity Methods, a modern technique for calculating scattering amplitudes, and familiarizing myself with the KMOC formalisim . This gave me a strong foundation in on-shell methods, and was the lead-in to the research I conducted in the spring and summer of 2025 towards my MS Thesis.📑 Journal Club
I had the opportunity to present a recent paper by Kymani Armstrong-Williams and Chris White to Northwestern Physics' High Energy Theory Journal Club in Spring of 2025. Titled "Time-dependent solutions of biadjoint scalar field theories," the text presents several new analytic solutions of biadjoint scalar fields along with some numerical results. Biadjoint scalar fields are of increasing interest as they continue to make appearances in quantum field theory, particularly in the study of amplitudes calculations and the execution of the doublecopy. The paper was an interesting read, and can be found via the citation below:K. Armstrong-Williams and C. D. White. Time-dependent solutions of biadjoint scalar field theories. 2025. arXiv:2502.01294 [hep-th]. URL: [ https://arxiv.org/abs/2502.01294 ]
💫 This Website!
Coded by me in CSS/html beginning with this template and a guide available here .📓 Honors Research Project, Bowdoin College
During the 2021-2022 academic year I completed a research project with the Bowdoin College Department of Physics and Astronomy, for which I was awarded high honors. The goal of my research was to test a conjectured relation between four-point scattering amplitudes in N=4 Supersymmetric Yang-Mills Theory (SYM) and N=8 supergravity in the Regge Limit at the three-loop level. In the course of accomplishing this goal I first calculated the analogous relations at the tree, one-loop, and two-loop levels, with much of my early focus placed on both proving group theory symmetries in the contributions of the Feynman diagrams and developing code in Mathematica to efficiently calculate color-ordered N=4 SYM amplitudes. This in turn allowed me to relate known N=8 supergravity amplitudes to a basis of N=4 SYM color-ordered amplitudes, and re-derive established relations to verify my method. I then calculated the three-loop color-ordered amplitudes and demonstrated the relationship conjectured in 2021 held in the Regge limit. I also extended our investigation to consider an approximate non-Regge relation at three loops, based on an ansatz which excluded diagrams contributing integrals with numerator factors dependent on internal leg momentum. This research resulted in a publication in the Journal of High Energy Physics (JHEP), and the transcript can be found via the citation below:S.G. Naculich and T.W. Wecker, Proof of a three-loop relation between the Regge limits of four-point amplitudes in N = 4 SYM and N = 8 supergravity JHEP 07 (2022) 043 [ arXiv:2204.02417 ] [ INSPIRE ]