2018–现在,清华大学丘成桐数学科学中心/数学科学系,副教授
2016–2018,美国西北大学,Boas助理教授
从事复几何的研究;主要关注代数几何与解析几何中的正性理论,以及与其它领域之间的联系;关注和着迷于出现在不同数学分支,但相似的数学结构和原理。
近期一大研究兴趣为Kähler package,最近相关工作:
Numerical characterization of the hard Lefschetz classes of dimension two (with J. Hu)
arXiv:2309.05008
The inequalities of Chern classes and Riemann-Roch type inequalities (with X. Lu)
arXiv:2308.12173
Hard Lefschetz theorems for free line bundles (with S. J. Shang, J. Hu)
arXiv:2305.19085
Intersection theoretic inequalities via Lorentzian polynomials (with J. Hu)
arXiv:2304.04191
Hard Lefschetz properties, complete intersections and numerical dimensions (with J. Hu)
arXiv:2212.13548
体现本人研究风味的往期工作,可参见:
Positivity functions for curves on algebraic varieties (with B. Lehmann)
Algebra & Number Theory 13 (2019), no. 6, 1243-1279.
Convexity and Zariski decomposition structure (with B. Lehmann)
GAFA 26 (2016), no.4, 1135–1189.