支丽红

中国科学院数学与系统科学研究院
数学机械化重点实验室主任、研究员
电子邮箱:lzhi@mmrc.iss.ac.cn  电话:+86 10 82541838

研究方向

数学定理自动证明、符号数值计算、(非)交换多项式优化、量子计算。

工作经历

访问经历

教育经历

主要奖励

学术兼职

科研项目

代表性论文

  1. Beibei Xiong, Hangyu Lv, Junqi Liu, Yisen Wang, Shaoshi Chen, Jianlin Wang, Zhengfeng Yang, Lihong Zhi. “Automated Formal Proofs of Combinatorial Identities via Wilf-Zeilberger Guidance and LLMs.” ICML 2026,(Spotlight)。
  2. Junqi Liu, Zihao Dai, Zekai Zhu, Marco Dos Santos, Weikun He, Jiawei Liu, Ran Wang, Yunzhou Xie, Junqiao Zhao, Qiufeng Wang, Lihong Zhi, Jia Li, Wemda Li. “Numina-Lean-Agent: An Open and General Agentic Reasoning System for Formal Mathematics.” ICML 2026
  3. Zihao Dai, Hao Liang, Jinyu Lu, Lihong Zhi. “An Algorithm for Diagonalizing Matrices of Formal Power Series.” Proceedings of ISSAC 2026
  4. Jianting Yang, Ke Ye, Lihong Zhi. “Sparse Sum of Hermitian Squares in Group Algebras of Finite Groups.” Foundations of Computational Mathematics (FoCM),已接受,2026。
  5. Hao Liang, Jingyu Lu, Manolis C. Tsakiris, Lihong Zhi. “A Field Theoretic View of Unlabeled Sensing.” Journal of Symbolic Computation, 135, 2026, 102542。
  6. Hao Wu, Qiuye Wang, Bai Xue, Naijun Zhan, Lihong Zhi, Zhi-Hong Yang. “Synthesizing Invariants for Polynomial Programs by Semidefinite Programming.” ACM Transactions on Programming Languages and Systems, 47(1), 2025。
  7. Tianshi Yu, Lihong Zhi. “Noncommutative Nullstellensatz for Perfect Two-Answer Quantum Non-local Games.” Proceedings of ISSAC 2025, 2025。
  8. Hao Liang, Sizhuo Yan, Jianting Yang, Lihong Zhi. “The non-Archimedean Nirgendsnegativsemidefinitheitsstellensatz is not true.” Israel Journal of Mathematics, 267, 2025。
  9. Jianting Yang, Ke Ye, Lihong Zhi. “Computing sparse Fourier sum of squares on finite abelian groups in quasi-linear time.” Applied and Computational Harmonic Analysis, 73, 101686, 2024。
  10. Hao Liang, Jingyu Lu, Manolis C. Tsakiris, Lihong Zhi. “Unlabeled Sensing Using Rank-One Moment Matrix Completion.” Proceedings of ISSAC 2024, pp. 46—55, 2024。
  11. Jianting Yang, Ke Ye, Lihong Zhi. “Lower bounds of functions on finite abelian groups.” International Computing and Combinatorics Conference, pp. 157—170, 2023。

指导学生

在读学生

梁昊(博士生)、代梓灏(博士生)、刘俊杞(博士生)、沈皓(博士生)、王家琪 (博士生)、黄逸鹤 (硕士生)。

已毕业博士生

杨争峰、吴小丽、郭峰、马玥、李楠、郭庆东、王础、郝志伟、杨志红、杨剑霆、闫思卓、禹天石等。

博士后

梁野、李哲、林望、郑涛、丁春。

本简历根据 2026 年英文简历及个人主页公开信息整理,代表性论文与项目并非完整清单。完整论文列表请参阅发表论文页面。