I'm a second year PhD student in theoretical physics at Harvard. I study the deep web of relationships between quantum field theory, statistical physics, gauge theory, and gravity. My advisor is Professor Andrew Strominger. My work is funded by the US Department of Defense through the NDSEG Fellowship and by the Fannie and John Hertz Foundation.

I received my B.S. in physics and M.S. in mathematics from Yale in 2018. There, I performed research under professor David Poland, studying conformal field theory in dimensions three and four using the bootstrap program. Conformal field theory is a powerful idea that allows us to gain insight into strongly-interacting nonlinear systems at their phase transitions.

I have also worked at the intersection of machine learning and computational neuroscience under Dr. John Murray, modeling the dynamics of working memory in recurrent neural networks (RNNs) and for Google, developing convolutional neural network (CNN) models for computer vision and face recognition for the internet of things.

My past collaborations with Dr. Erik Schnetter at the Perimeter Institute for Theoretical Physics, focused on finding ways around the curse of dimensionality in Einstein's field equations. You can learn more about this work from our arXiv paper and implementation on Github.

*This website serves as a repository for my research and personal projects. If you are interested in any of these projects, feel free to reach out.
*

**(Summer 2018) Journal of High Energy Physics**
[Journal Link]
[arXiv]
[Code Repository]

**(Spring 2018) Yale Senior Thesis** [PDF] [Presentation Slides]

**(Fall 2017) ** [arXiv] [PDF]
[Code Repository]

**(Spring 2017) Physical Review A** [Journal Link] [PDF]

**(Fall 2016)** [PDF]

**(Spring 2016)** [PDF]

**(Fall 2015)** [PDF]

**(Fall 2018)** [PDF]

**(Fall 2018)** [PDF]
[Chapter 1: Black Holes and the Holographic Principle]
[Chapter 2: Matrices and Strings]
[Chapter 3: Holographic Duality]

**(Spring 2018)** [Lecture 1] [Lecture 2]

**(Fall 2017)** [PDF]

**(Spring, Fall 2017)** [Full Notes] [Part 1: Categorical Harmonic Analysis]
[Part 2: Moduli Space of Bundles]
[Part 3: Geometric Satake]
[Part 4: Geometric Representation Theory]
[Part 5: Intro to Derived Algebraic Geometry]
[Part 6: Back to Basics]
[Part 7: Singular Support]
[Part 8: Revisiting D(Bun_G)]
[Part 9: How to study D(Bun_G)]
[Part 10: Factorization Structures]
[Part 11: Fundamental Local Equivalence]

**(Spring, Fall 2017)** [Spring Talk] [Fall Talk]

**(Fall 2016)** [PDF]

**(Fall 2016)** [PDF]

**(Fall 2016)** [PDF]

**(Fall 2016)** [PDF]

**(Summer 2016)** [YouTube]

**(Spring 2016)** [PDF]

**(Spring 2016)** [PDF]

**(Ongoing)** [Github]

**(Fall 2013)** [PDF]

**(Fall 2013)** [PDF]