Hello!

I am a second year mathematics PhD student at UC Berkeley. I'm interested in physical mathematics, especially its intersections with geometry and topology. I graduated from University of Maryland (UMD) with a degree in mathematics and physics

Math

Mathematically, I am primarily a geometer. I'm most comfortable with complex manifolds, but I am slowly branching out to more algebraic and analytic flavors of geometry. Physically, I like whatever it takes to give me my geometry. Here is a list of keywords which I know some things about, and wish to get to know much better:

• Quantization
• SUSY QFTs
• Topological QFTs
• Mirror symmetry
• Integrable systems
• Gauge theory
• Moduli spaces
• Higgs bundles
• Hyperkahler geometry
• Conformal QFTs
• A dabbling of string theory

My previous research applied Higgs bundles to a condensed matter physics system. You can read about it here. To see other things I've thought a lot about, check out my past talks.

Art

I was drawn to geometry because my approach to math is very visual. I try to capture my images of mathematical objects using digital art, which you can check out in the gallery. I also enjoy creative coding, and my code sketches often have a mathematical component. I talk about a few of my sketches in code. My favorite example is my explorations of hyperbolic string art