I am a Gibbs Assistant Professor in the math department at Yale University. In June 2017, I received my Ph.D. from Princeton University under the supervision of Professor
Together with Sam Payne, Asher Auel, Kalina Mincheva and
Max Kutler, I am co-organizing the Yale Algebraic and Tropical
Algebraic geometry -- Fano varieties, K-stability, normalized volumes and Brody hyperbolicity.
Spring 2018: Reflection Groups (MATH 235) at Yale.
Fall 2017: Linear Algebra with Applications (MATH 222) at Yale.
Fall 2017: Foundations of Algebraic Geometry (MATH 619) at Yale.
Spring 2016: Linear Algebra with Applications (MAT 202) at Princeton.
Publications & preprints
Yuchen Liu's papers on arXiv
Birational superrigidity and K-stability of singular Fano complete intersections (joint with Ziquan Zhuang). Preprint,
The normalized volume of a singularity is lower semicontinuous (joint with Harold Blum).
K-stability of cubic threefolds (joint with Chenyang Xu). Submitted,
Construction of hyperbolic Horikawa surfaces. Accepted by Ann. Inst. Fourier (Grenoble),
Characterization of projective spaces by Seshadri constants (joint with Ziquan Zhuang). Accepted by
Math. Z., arXiv:1607.05743.
The volume of singular Kähler-Einstein Fano varieties. Accepted by Compos. Math.,
Kähler-Einstein metrics and volume minimization (joint with Chi Li). Accepted by Adv. Math.,
Hyperbolicity of cyclic covers and complements. Accepted by Trans. Amer. Math. Soc.,
Semi-continuity of complex singularity exponents in singular central fiber cases. Master Thesis,