An algorithm to generate two-dimensional critical lattice models using competing anyon condensation

Kaixin Ji, Yu Zhao, Ce Shen, Yidun Wan & Ling-Yan Hung

Lagrangians, SO(3)-instantons and the Atiyah--Floer Conjecture

Aliakbar Daemi, Kenji Fukaya, Maksim Lipyanskiy （date of acceptance: 27 July 2026)

Large data global solution of the 3D RVM system with cylindircal symmetry I: Iterative smoothing scheme

Xuecheng Wang

State integral models and the tetrahedron equation

Junya Yagi

The irreducibility of Hurwitz spaces and Severi varieties on toric surfaces

Karl Christ, Xiang He, Ilya Tyomkin

An exponential improvement for Ramsey lower bounds

Jie Ma, Wujie Shen, Shengjie Xie

On rationality of C_2-cofinite vertex operator algebras

Robert McRae

Quantitative Homogenization and Hydrodynamic Limit of Nongradient Exclusion Process

Tadahisa Funaki, Chenlin Gu, Han Wang

Unbounded field operators in categorical extensions ofconformal nets

Bin Gui

A neural symbolic model for space physics

Jie Ying, Haowei Lin, Chao Yue, Yajie Chen, Chao Xiao, Quanqi Shi, Yitao Liang, Shing-Tung Yau, Yuan Zhou & Jianzhu Ma. Nature Machine Intelligence 7, 1726–1741 (2025)