When the morphisms between complex smooth varieties flows in you, you will see Kodaira and Atiyah's smile (Kodaira fibration). The white-haired shadow of the mapping class group is roaming like a dream, which brings you the aroma of the monodromy representation. "The woods decay, the woods decay, and fall", the curvature withers slowly in thine arms (which leads you to the garden of non-positive curvature), Alexandrov and Gromov weep their burthen to the ground. "And after many a summer dies the swan." Non-positively curved space is only cruel in immortality. In the end, even if you are still too mean to show love and sympathy to the hyperbolic groups, you will still hear "Va, je ne te hais point~" from the acylindrically hyperbolic groups.
I am interested in the topology/geometric group theory related to complex algebraic geometry, and coarse geometry related to the Teichmuller space and dynamic system.
Bounds on degrees of covers with injective monodromy in iterated Kodaira Fibrations, arxiv. Rocky Mountain J. Math Volume 52 (2022), No.1, 365-380, DOI: 10.1216/rmj.2022.52.365
Conditions on the monodromy for a surface group extension to be CAT(0), arxiv. Proc. Amer. Math. Soc. 151 (2023), pp. 4643-4651, DOI:10.1090/proc/16518
Relatively geometric actions of Kahler groups on CAT(0) cube complexes (with Corey Bregman and Daniel Groves), arxiv. Algebraic & Geometric Topology, 24 (2024) 4127–4137, DOI: 10.2140/agt.2024.24.4127
A note on complex hyperbolic lattices and strict hyperbolization, arxiv. Journal of Group Theory, vol. 28, no. 6, 2025, pp. 1501-1515. DOI:10.1515/jgth-2024-0190
CAT(0) geometry of complex curve complements and families (with Corey Bregman and Anatoly Libgober), arxiv.
Atypical generic directions in Teichmüller space (with Matthew Durham and Chenxi Wu), arxiv.
Linearity and virtual poly-freeness of the fundamental group of plane curves of degree at most five (with Shengkui Ye), arxiv.