Yuchen Bi

Publications

• Yuchen Bi, Tianze Hao, Shihang He, Yuguang Shi, Jintian Zhu, "A proof for the Riemannian positive mass theorem up to dimension 19", [arXiv].
• Yuchen Bi, Jie Zhou, "Linear Quantitative Rigidity for Almost-CMC Surfaces", [arXiv].
• Yuchen Bi, Jie Zhou, "Quantitative Stability of the Clifford Torus as a Willmore Minimizer", [arXiv].
• Yuchen Bi, Jintian Zhu, "Mass-capacity inequality modeled on conformally flat manifolds", [arXiv].
• Yuchen Bi, Jie Zhou, "Bi-Lipschitz Regularity of 2-Varifolds with the Critical Allard Condition", [arXiv].
• Yuchen Bi, Jie Zhou, "Bi-Lipschitz rigidity for L²-almost CMC surfaces", [arXiv].
• Yuchen Bi, Jie Zhou, "Optimal rigidity estimates for varifolds almost minimizing the Willmore energy", Transactions of the American Mathematical Society 378 (2025), no. 2, 943–965.
• Yuchen Bi, Jiayu Li, "The Prescribed Q-Curvature Flow for Arbitrary Even Dimension in a Critical Case", Advances in Mathematics 438 (2024), 109478.
• Yuchen Bi, Jiayu Li, Lei Liu, Shuangjie Peng, "The C⁰-convergence at the Neumann boundary for Liouville equations", Calculus of Variations and Partial Differential Equations 62 (2023), no. 3, Paper No. 107.

Teaching

• Curves and Surfaces, Summer Semester 2026, University of Freiburg (teaching assistant; with Ernst Kuwert)
• Differential Geometry, Winter Semester 2025/26, University of Freiburg (topic: differentiable manifolds; lecture and exercise sessions)

Notes

• Differential Manifolds