Welcome to Qi Yao's Homepage
Welcome to Qi Yao's Homepage
Mathematics Department,
Stony Brook University,
100 Nicolls Road, Stony Brook, NY 11794.
Office: 3-116
Email: qi.yao@stonybrook.edu
I am now a postdoctoral fellow in the Mathematics Department at Stony Brook University, where my mentor is Prof. Claude LeBrun. I obtained my Ph.D. in mathematics in July 2023 at the University of Müntser, where my advisors are Prof. Hans-Joachim Hein and Prof. Bianca Santoro.
My research interests lie in complex geometry and geometric analysis, focusing on finding canonical metrics on Kähler manifolds.
Asymptotic behavior of homogeneous complex Monge-Ampe`re equations on ALE Kähler manifolds, arXiv: 2509.13609.
Geodesic equations on asymptotically locally Euclidean Kähler manifolds, Calc. Var. Partial Differ. Equ., 64, 275 (2025). doi: 10.1007/s00526-025-03138-8, see also arXiv: 2307.01991.
Mass and expansion of asymptotically conical Kähler metrics arXiv: 2206.06505, to appear in Mathematische Annalen.
Invariant scalar-flat Kähler metrics on Line Bundles over generalized flag varieties Canad. J. Math. 77 (2025), no. 5, 1611--1636. doi: 10.4153/S0008414X24000464, see also arXiv: 2012.04496.
At Stony Brook University:
Fall 2025, MAT 319 Foundations of Analysis, Instructor.
Spring 2025, MAT 319 Foundations of Analysis, Instructor.
Fall 2024, MAT 341 Applied Real Analysis, Instructor.
Spring 2024, MAT 131 Calculus I, Instructor.
Spring 2024, MAT 513 Analysis for Teacher I, Instructor.
Fall 2023, MAT 123 Precalculus, R113, R213, R313, R413, Teaching Assistant.
At University of Münster
Summer 2022, Analysis II, Teaching Assistant.
Winter 2021-2022, Bridge Course "Analysis, Topology and Geometry", Teaching Assistant.
Summer 2021, Elliptic PDEs, Teaching Assistant.
Winter 2020-2021, Kähler Geometry, Teaching Assistant.
At City College of New York, CUNY
Spring 2020, MATH 201 Calculus I, Instructor.
Fall 2019, MATH 201 Calculus I, Instructor.
Spring 2019, MATH 190 College Algebra and Trigonometry, Instructor.
Fall 2018, MATH 201, Calculus I, Instructor.
Conference
PDEs in Complex Geometry, Montreal, 4/2024.
Analytic Methods in Complex Geometry, Münster, 08/2023.
Special Metrics in Complex Geometry, Dallas, 05.2022.
Seminar
CUNY Graduate Center Geometry Analysis Seminar, Graduate Center, CUNY, 10/25
BICMR Seminar on Geometric Analysis, Peking University (BICMR), 12/2024
CUNY Graduate Center Geometry Seminar, Graduate Center, CUNY, 11/2024
Informal Complex Geometry and PDE Seminar, Columbia, 05/2024.
Geometry and Topology Seminar, Vanderbilt, 03/2024
Geometry/Topology Seminar, Stony Brook, 10/2023