Zhengping Gui

Bio

I work in the field of mathematical physics and am interested in the algebraic and geometric aspects of quantum field theory and string theory. My current research focuses on nonlinear \(\sigma\)-models, renormalization theory, quantizations, and 2D (and higher-dimensional) holomorphic field theories.

Education Experience

• 2012.8 – 2016.7 Tsinghua University, B.S. in Mathematics
• 2016.8 – 2021.7 Tsinghua University, Ph.D. in Mathematics

Work Experience

• 2021.9-2024.9, the Abdus Salam International Centre for Theoretical Physics (ICTP), Postdoc
• 2024.10-2025.3, the Chinese University of Hong Kong (CUHK), Postdoc

Honors and Awards

• National scholarship for doctoral students, Tsinghua University 2020
• Excellent Postgraduate Award, Yau Mathematical Sciences Center 2019

Publications

• Geometry of Localized Effective Theory, Exact Semi-classical Approximation and Algebraic Index (joint with Si Li and Kai Xu), Commun. Math. Phys. 382, 441–483 (2021).
• Elliptic Trace Map on Chiral Algebras (joint with Si Li, arXiv preprint: https://arxiv.org/abs/2112.14572), submitted.
• Quadratic Duality for Chiral Algebras (joint with Si Li and Keyou Zeng), Adv. Math. 451: 109791 (2024).
• Trace Map on Chiral Weyl Algebras, arXiv preprint: https://arxiv.org/abs/2310.15086.