Welcome to Qi Yao's Homepage
Contact Information
Mathematics Department,
Stony Brook University,
100 Nicolls Road, Stony Brook, NY 11794.
Office: 3-116
Email: qi.yao@stonybrook.edu
About me
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.
Publication and Preprints
Asymptotic behaviors of solutions to homogeneous complex Monge-Ampere equations on ALE Kähler manifolds, in preparation.
Geodesic equations on asymptotically locally Euclidean Kähler manifolds. arXiv: 2307.01991
Mass and expansion of asymptotically conical Kähler metrics arXiv: 2206.06505.
Invariant scalar-flat Kähler metrics on Line Bundles over generalized flag varieties arXiv: 2012.04496. to appear in Canadian Journal of Mathematics.
Teaching
At Stony Brook University:
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.
Past Teaching Experience:
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.
Invited Talks:
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
Informal Complex Geometry and PDE Seminar, Columbia, 05/2024.
Geometry and Topology Seminar, Vanderbilt, 03/2024
Geometry/Topology Seminar, Stony Brook, 10/2023