Term of Employment: Jan. 2025 - Supervisor: Professor Weiping Zhang Research Interests: Differential geometry and geometric analysis. My recent work is focused on index theory and its applications to mathematical general relativity and the geometry and topology of positive scalar curvature. Education: 1. Sept. 2014—July. 2018 Bachelor's Degree, School of Mathematical Sciences, Capital Normal University; 2. Sept. 2018-- July. 2021 Master's Degree, School of Mathematical Sciences, Capital Normal University; 3. Sept. 2021-- Dec. 2024 Ph.D. Degree, School of Mathematical Sciences, Capital Normal University; Publications: [1] D. Liu, A note on the long neck principle and spectral width inequality of geodesic collar neighborhoods. Proc. Amer. Math. Soc. 152 (2024), 3097-3110. [2] D. Liu, On the long neck principle and width estimates for initial data sets. Math. Z. 307 (2024), 59. [3] D. Liu, Tilted spacetime positive mass theorem with arbitrary ends. J. Geom. Phys. 203 (2024), 105238. |
