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Constant scalar curvature Kahler metric obtains the minimum of K-energy , International Mathematics Research Notice Vol.2011, No.9, pp. 2161-2175.
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Greatest lower bound on Ricci curvature for toric Fano manifolds. Advances in Mathematics 226(2011) 4921-4932. arXiv:0909.3443.
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On the limit behavior of metrics in continuity method to Kahler-Einstein problem in toric Fano case. Compositio Mathematicae 148 (2012), no.6, 1985-2003. arXiv: 1012.5229.
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Special test configurations and K-stability of Fano varieties. (with Chenyang Xu), Ann. of Math. (2) 180 (2014), no.1, 197-232. arXiv:1111.5398.
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Conical Kahler-Einstein metrics revisited (with Song Sun), Comm. Math. Phys. 331 (2014), no. 3, 927-973. arXiv:1207.5011.
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Numerical solutions of SO(3) invariant Kahler-Einstein metrics with cone singularities along a smooth quadric curve .
Journal of Geometric Analysis , Vol.25, Issue 3 (2015), 1773-1797. arxiv:1207.6592.
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Remarks on logarithmic K-stability , Communications in Contemporary Mathematics , Vol. 17, Issue 02 (2015) 1450020, arXiv:1104.0428.
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Appendix A to "Kahler-Einstein metrics with edge singularities by T. Jeffres, R.Mazzeo and Y.A.Rubinstein" (with Y.A.Rubinstein), Annals of Mathematics, 183 (2016), pp 162-166.
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A Pohozaev identity and critical exponents of some complex Hessian equations , Journal of Partial Differential Equations,
(2016), no.3, 175-194.
arXiv:1309.5623.
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Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds ,
J. Reine Angew. Math. 733 (2017), 55-85. arXiv:1302.6681
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K-semistability is equivariant volume minimization , Duke Math. Journal, Vol. 166, no. 16 (2017), 3147-3218. arXiv:1512.07205.
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Minimizing normalized volumes of valuations , Mathematische Zeitschrift, Vol. 289, 2018, no.1-2, 491-513. arXiv:1511.08164.
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Kahler-Einstein metrics and volume minimization (with Yuchen Liu), Adv. Math. 341 (2019),440-492.
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Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds (with Xiaowei Wang and Chenyang Xu), Annales Scientifiques de l'ENS (4)51 (2018), no.3, 739-772.
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Stability of valuations and Kollar components , (with Chenyang Xu), accepted by J. Eur. Math. Soc. ,
arxiv:1604.05398.
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Stability of Valuations: Higher rational Rank , (with Chenyang Xu), Peking Mathematical Journal , volume 1 (2018), 1-79.
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On the proper moduli spaces of smoothable Kahler-Einstein Fano varieties , (with Xiaowei Wang and Chenyang Xu), Duke Math. J. 168 (2019), no. 8, 1387-1459.
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On the stability of extensions of tangent sheaves on Kahler-Einstein Fano/Calabi-Yau pairs , accepted by Math. Ann. , arXiv:1803.01734.
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On sharp rates and analytic compactifications of asymptotically conical Kahler metrics . Duke Math. J. , vol. 169 (2020), no. 8, 1397-1483. arXiv:1405.2433.
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A guided tour to normalized volume (with Yuchen Liu and Chenyang Xu). In Geometric Analysis, volume 333 of Progr. Math., pages 167-219. Birkauser/Springer, Cham, 2020
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On Yau-Tian-Donaldson conjecture for singular Fano varieties (joint with Gang Tian and Feng Wang), accepted by Comm. Pure Appl. Math. , arXiv.1711.09530.
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An inhomogeneous optimal degeneration problem for Fano varieties , Simons Conference on K-stability, 2020.
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Generalized YTD conjecture on Fano varieties , Workshop on Geometric Analysis, 2020.
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Geodesic rays and stability in the cscK problem , BICMR on-line seminar talk slides.
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Topics on Kahler-Einstein metrics , talk slides.
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Algebraicity of metric tangent cones , talk slides.
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On Yau-Tian-Donaldson conjecture for singular Fano varieties , slides for the talk in J. Cheeger's 75th Birthday Conference, 2018.
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Moduli space of smoothable Kahler-Einstein
Q-Fano varieties talk slides at Trends in Modern Geometry , University of Tokyo, 2015
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Job talk slides
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Defense slides .
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On rotationally symmetric Kahler-Ricci solitons. arXiv:1004.4049.
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Notes on Sean Paul paper 2010
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Notes on Futaki invariant 2007
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Notes on Family Index Theorem (after Bismut) 2004
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Master Thesis (Chinese) 2007