Daoqiang Liu   ()

Chern Institute of Mathematics, Nankai University
Tianjin 300071, People's Republic of China
Email: dqliu [at] nankai [dot] edu [dot] cn
Office: Room 312, Shiing-Shen Building

MathSciNet, zbMATH, ORCID, Google Scholar

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I'm a Postdoc in Chern Institute of Mathematics at Nankai University, hosted by Prof. Weiping Zhang.
My research interests include 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.
Here is my CV (updated 1/12/25).

I received my Ph.D at Capital Normal University in 2024, supervised by Prof. Zhenlei Zhang (CNU) and Prof. Bo Liu (ECNU).
I received my undergraduate degree and master degree at the Capital Normal University, where I was also mentored by Prof. Zhenlei Zhang.

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Preprints

1. Bottom spectrum and Llarull's theorem on complete noncompact manifolds
   (arXiv:2601.15043)

2. (joint with Prof. Bo Liu) Llarull's theorem on noncompact manifolds with boundary
   (arXiv:2601.12803)

Refereed Publications

1. Tilted spacetime positive mass theorem with arbitrary ends
   J. Geom. Phys. 203 (2024), 105238.

2. On the long neck principle and width estimates for initial data sets
   Math. Z. 307 (2024), 59.

3. A note on the long neck principle and spectral width inequality of geodesic collar neighborhoods
   Proc. Amer. Math. Soc. 152 (2024), 3097-3110.

Research Projects

Recent and Upcoming Talks