科研项目:
5. 国家自然科学基金委面上基金 (No.12371078):复流形上蒙日-安培型方程理论以及几何问题的研究,2024.01--2027.12,主持
4. 国家自然科学基金委青年基金 (No.11401023):黎曼流形上特征值问题的研究,2015.01--2017.12,主持
3. 中国博士后科学基金第8批特别资助 (No.2015T80040):黎曼流形和复流形上几何流及其应用,2015.07--2016.07,主持
2. 中国博士后科学基金第55批面上资助 (No.2014M550620):黎曼流形上椭圆算子的特征值问题,2014.04--2015.09,主持
1. 国家自然科学基金委面上基金 (No.11471180):Riemann 流形和复流形上特征值及相关问题研究,2015.01--2018.12,参加 (陈大广副教授主持,清华大学)
代表论文:
[17] (with Xiaoxiao Zhang) On the deformation of Thurston's circle packings with obtuse intersection angles. The Journal of Geometric Analysis, 34 (2024)
[16] (with Chang Li and Liangming Shen) The Kähler-Ricci flow on Log canonical pairs of general type. Journal of Functional Analysis, 285 (2023)
[15] The continuity equation of the Gauduchon metrics. Pacific Journal Mathematics, 310 (2021)
[14] (with Chang Li) The continuity equation of almost Hermitian metrics. Journal of Differential Equations, 274 (2021)
[13] (with Chang Li) The Dirichlet problem on almost Hermitian manifolds. The Journal of Geometric Analysis, 31 (2021)
[12] (with Ke Feng) Transverse fully nonlinear equations on Sasakian manifolds and applications. Advances in Mathematics, 357 (2019)
[11] A parabolic Monge-Ampère type equation of Gauduchon metrics. International Mathematics Research Notice. IMRN, 2019 (2019)
[10] An almost complex Chern-Ricci flow. The Journal of Geometric Analysis, 28 (2018)
[9] (with Shouwen Fang) Isoperimetric inequalities along the twisted Kähler-Ricci flow. Differential Geometry and its Applications, 56 (2018)
[8] (with Hai Lin) Higher dimensional generalizations of twistor spaces. Journal of Geometry and Physics, 114 (2017)
[7] The Chern-Ricci flow on Oeljeklaus-Toma manifolds. Canadian Journal of Mathematics, 69 (2017)
[6] (with Shouwen Fang, Valentino Tosatti and Ben Weinkove) Inoue surfaces and the Chern-Ricci flow. Journal of Functional Analysis, 271 (2016)
[5] (with Shouwen Fang) An upper bound of the heat kernel along the harmonic-Ricci flow. Manuscripta Mathematica, 151 (2016)
[4] (with Daguang Chen and Hongcang Yang) Estimates of the gaps between consecutive eigenvalues of Laplacian. Pacific Journal of Mathematics, 282 (2016)
[3] (with Shouwen Fang) The (logarithmic) Sobolev inequalities along geometric flow and applications. Journal of Mathematical Analysis and Applications, 434 (2016)
[2] (with Daguang Chen and Min Lu) Eigenvalue estimates on domains in complete noncompact Riemannian manifolds. Pacific Journal of Mathematics, 255 (2012)
[1] (with Daguang Chen) Bounds for ratios of the membrane eigenvalues. Journal of Differential Equations, 250 (2011)