My name is Guoran Ye. I am a PhD student in mathematics at Northwestern University. My advisor is Gábor Székelyhidi. I obtained my B.S. and M.A. degrees from University of California, Los Angeles in 2021. I work in the field of geometric analysis. In particular, I am interested in special Lagrangian submanifolds and any related topics.
Here is my CV.
Email: guoranye2027 (at) u (dot) northwestern (dot) edu
Office: Locy Hall 206 A/B
Abstract: We construct special Lagrangian submanifolds $Y\subset \mathbb C^{n+1},n\geq 3$ in a neighborhood of the origin, with an isolated singularity, but with cylindrical tangent cone $C\times\R$. Such examples exist, for example, when $C$ is a pair of transverse planes.