In Handbook of Teichmüller Theory, Volume II. Bers slices are Zariski dense (with Autumn Kent).Grafting rays fellow travel Teichmüller geodesics (with Young-Eun Choi and Kasra Rafi).Geometric and Functional Analysis 25 (2015), no. Polynomial cubic differentials and convex polygons in the projective plane (with Michael Wolf).Holonomy limits of complex projective structures.Īdvances in Mathematics 315 (2017), 427-473.Asymptotics of Hitchin's metric on the Hitchin section (with Andrew Neitzke).Ĭommunications in Mathematical Physics 367 (2019), 127-150.Coarse and fine geometry of the Thurston metric (with Anna Lenzhen, Kasra Rafi, and Jing Tao).įorum of Mathematics, Sigma 8 (2020), e28.Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations (with Andrew Sanders).Geometric and Functional Analysis 31 (2021), no. Uniformization of compact complex manifolds by Anosov homomorphisms (with Andrew Sanders).Opers and nonabelian Hodge: numerical studies (with Andrew Neitzke).arXiv: link to PDF preprints, DOI links go to published versions (when available). The volume of singular Kähler-Einstein Fano varieties.Construction of hyperbolic Horikawa surfaces.Īnn.Characterization of projective spaces by Seshadri constants (joint with Ziquan Zhuang).Hyperbolicity of cyclic covers and complements.Kähler-Einstein metrics and volume minimization (joint with Chi Li). K-stability of cubic threefolds (joint with Chenyang Xu).Geometric analysis-in honor of Gang Tian's 60th birthday, 167-219, A guided tour to normalized volume (joint with Chi Li and Chenyang Xu).Birational superrigidity and K-stability of singular Fano complete intersections (joint with Ziquan Zhuang).The normalized volume of a singularity is lower semicontinuous (joint with Harold Blum).On properness of K-moduli spaces and optimal degenerations of Fano varieties (joint with Harold Blum, Daniel Halpern-Leistner,Īnd Chenyang Xu).Equivariant K-stability under finite group action (joint with Ziwen Zhu).Openness of uniform K-stability in families of Q-Fano varieties (joint with Harold Blum).Īnn.On the sharpness of Tian's criterion for K-stability (joint with Ziquan Zhuang).On K-stability of some del Pezzo surfaces of Fano index 2 (joint with Andrea Petracci).īull.Finite generation for valuations computing stability thresholds and applications to K-stability (joint with Chenyang Xu and Ziquan Zhuang).Openness of K-semistability for Fano varieties (joint with Harold Blum and Chenyang Xu).Optimal destabilization of K-unstable Fano varieties via stability thresholds (joint with Harold Blum and Chuyu Zhou).K-stability of Fano threefolds of rank 2 and degree 14 as double covers.The existence of the Kähler-Ricci soliton degeneration (joint with Harold Blum, Chenyang Xu, and Ziquan Zhuang).K-moduli of curves on a quadric surface and K3 surfaces (joint with Kenneth Ascher and Kristin DeVleming).K-stability and birational models of moduli of quartic K3 surfaces (joint with Kenneth Ascher and Kristin DeVleming).Springer Proceedings in Mathematics & Statistics, vol 409. On the Cheltsov-Rubinstein conjecture (joint with Kento Fujita, Hendrik Süß, Kewei Zhang, and Ziquan Zhuang).īirational Geometry, Kähler–Einstein Metrics and Degenerations.ACC for local volumes and boundedness of singularities (joint with Jingjun Han and Lu Qi).Wall crossing for K-moduli spaces of plane curves (joint with Kenneth Ascher and Kristin DeVleming).Infinitely many families of Sasaki-Einstein metrics on spheres (joint with Taro Sano and Luca Tasin).Convexity of multiplicities of filtrations on local rings (joint with Harold Blum and Lu Qi).On the boundedness of singularities via normalized volume (joint with Joaquín Moraga and Hendrik Süß).On K-moduli of quartic threefolds (joint with Hamid Abban, Ivan Cheltsov, Alexander Kasprzyk, and Andrea Petracci).Moduli of boundary polarized Calabi-Yau pairs (joint with Kenneth Ascher, Dori Bejleri, Harold Blum, Kristin DeVleming, Giovanni Inchiostro, and Xiaowei Wang).
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