Hongyi Liu

Office: 789 Evans Hall
Email: hongyi AT berkeley DOT edu

I'm a fifth-year math Ph.D. student at University of California, Berkeley. My research interests lie in differential geometry and complex geometry. I am currently interested in Riemannian geometry for special holonomy metrics. My previous research focus on hyperkähler metrics in dimension 4. My advisor is Song Sun.

Research Papers

• A compactness theorem for hyperkähler 4-manifolds with boundary, arXiv:2202.07151, Submitted
Note: A note on Einstein manifolds with boundary
• Locally removable singularities for Kähler metrics with constant holomorphic sectional curvature(With Si-en Gong, Bin Xu), Proceedings of the American Mathematical Society 148(5):2179-2191, 2020

Research Talks

A compactness theorem for hyperkähler 4-manifolds with boundary:
• Special Metrics in complex geometry, UT Dallas, May 2022
• Geometry, Topology and Singular Special Holonomy Spaces, Freiburg University, June 2022
• Differential geometry and geometric analysis seminar, Princeton University, Sep 2022
• Geometry seminar, Stanford University, Oct 2022
• Geometric Topology Grad and Postdoc Seminar, Zoom, Oct 2022

Seminars

• In Spring 2020, I organized Student Complex Analytic Geometry Seminar
• In Fall 2019, I organized Student Algebraic Geometry Seminar, reading the book Positivity of Algebraic Geometry

Teaching

• Fall 2022: Math 1B (Calculus)
• Fall 2021: Math 1B (Calculus)
• Fall 2019: Math 16A (Analytic geometry and Calculus)
• Spring 2019: Math 53 (Multivariable Calculus)
• Fall 2018: Math 202A (Introduction to topology and analysis, Grader)