I'm a first year PhD student in theoretical physics at Harvard. I received my B.S. in physics and M.S. in mathematics from Yale in 2018.

My research interests lie in understanding the increasingly deep web of relationships between quantum field theory, statistical physics, gauge theory, and gravity. My work is funded by the Hertz foundation and the NDSEG fellowship.

I performed my undergraduate 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-coupled systems at their critical points. I also worked in computational neuroscience under Dr. John Murray, modeling the dynamics of working memory in recurrent neural networks (RNNs) and at 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 recent arXiv paper and implementation on Github. If you find this package useful for any of your projects involving high-dimensional computing, feel free to reach out.

*This website serves as a repository for some of my academic work, research, and personal projects. I hope you find something that you like. *

**(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]

**(Summer 2018, Expect to publish in the Spring)** [Github]

**(Fall 2013)** [PDF]

**(Fall 2013)** [PDF]