Andy Yin

I am a PhD candidate in mathematics at Stanford University, advised by Prof. Rafe Mazzeo. Broadly, my mathematical interests are in analysis and geometry. More specifically, my research is in microlocal analysis. Themes in my current work include:

• Analysis on manifolds with corners

• Transition calculi of pseudodifferential operators

• Parametrix constructions for degenerate operators

• Asymptotically hyperbolic geometry and gas giant geometry

• Inverse problems

I grew up in Canberra, Australia. I attended the Australian National University (ANU), also in Canberra, where I received a bachelor's degree with a major in mathematics, First Class Honours, and a University Medal. My Honours thesis was supervised by Dr. James Tener.

I also have a side interest in quantum computing. During my undergraduate studies, I undertook two research projects in quantum computing under the supervision of Dr. Marcus Doherty at the ANU Research School of Physics. In February-July 2022, I worked for Quantum Brilliance, an Australian-German quantum computing company.

Gas giants and the 0-calculus

Slides for my third-year area exam, an oral seminar presented by third-year PhD candidates in mathematics at Stanford.

Invariants in the II1 subfactor theory of von Neumann algebras

My Honours thesis, written in 2021 at the Australian National University.