研究方向为应用代数与应用几何，关注的问题涵盖数值线性代数、张量计算、流形优化、复杂度理论及极值组合等领域。

2007-09--2012-08   Texas A&M University   博士
2003-09--2007-08   四川大学   学士学位

2026--至今, 中科院数学与系统科学研究院，研究员

2017--2026, 中科院数学与系统科学研究院，副研究员

2015--2017, University of Chicago, 博士后

2012--2015, University of Chicago, L. E. Dickson Instructor

2026--至今，Linear Algebra and its Applications, 编委

2023--至今，SIAM Journal on Applied Algebra and Geometry, 编委

   

最近接收/发表

• S. L. Hu and K. Ye, Generic linear convergence for algorithms of non-linear least squares over smooth varieties, Mathematics of Operations Research, 2026, to appear. (arXiv) 
• Y. Wang and K. Ye, The sparseness of g-convex functions, Journal of Optimization Theory and Applications, 2026, Volume 208: 96. (arXiv)

2026

• R. B. T. Wang, L.-H. Lim and K. Ye, Linear representations of manifolds, 2026.
• Q. Y. Chen and K. Ye, Geometry of multilinear varieties over infinite fields and its applications, 2026. (arXiv)

2025

• Z. H. Lai, L.-H. Lim and K. Ye, Euclidean distance degree in manifold optimization, SIAM Journal on Optimization, 2025, 35(4), pp. 2402-2422. (arXiv)
• Q. Y. Chen and K. Ye, Stability of ranks under field extensions, Discrete Analysis, 2025: 27, 29pp. [讨论了各种张量秩在域扩张下的稳定性，解决了张量空间slice秩的Adiprasito-Kazhdan-Ziegler稳定性猜想，并证明了若干重要猜想的等价性] (arXiv)
• Z. H. Lai, L.-H. Lim and K. Ye, Simple matrix expressions for the curvatures of Grassmannian, Foundations of Computational Mathematics, 2025, published online. (arXiv)
• Z. H. Lai, L.-H. Lim and K. Ye, Grassmannian optimization is NP-hard, SIAM Journal on Optimization, 2025, 35(3), pp. 1939-1962. (arXiv)
• L.-H. Lim and K. Ye, Degree of the Grassmannian as an affine variety, Advances in Mathematics, 2025, Volume 480, Part A, 110459. [证明了Grassmannian作为实仿射代数簇的次数公式，该公式的特殊情况解决了Devriendt-Friedman-Reinke-Sturmfels猜想] (arXiv)
• M. Niu, Y. Zhang, K. Ye, P. Cheung, Y. Z. Wang, X. C. Yang, Atlas Gaussian processes on restricted domains and point clouds. (arXiv)
• L. X. Wang and K. Ye, Upper bounds for s-distance subspaces. (arXiv)
• Q. Y. Chen and K. Ye, Isotropy and completeness indices of multilinear maps. (arXiv)
• Q. Y. Chen, H. Liu and K. Ye, Extremal constructions for apex partite hypergraphs. (arXiv) 
• J. T. Yang, K. Ye and L. H. Zhi, Sparse sum of Hermitian squares in group algebras of finite groups. (arXiv) 
• Q. Y. Chen and K. Ye, Bounds for geometric rank in terms of subrank. (arXiv)
• L. X. Wang and K. Ye, An estimate for positive definite functions on finite abelian groups and its applications. (arXiv)  

2024

• Q. Y. Chen and K. Ye, A quasi-optimal lower bound for skew polynomial multiplication, In Proceedings of the 49th International Symposium on Symbolic and Algebraic Computation (ISSAC '24), pp. 74-81. [证明了斜多项式乘法的拟最优下界，合作者陈琦元获得Distinguished Student Author Award] (arXiv)
• Q. Y. Chen, J. Uhlmann and K. Ye, Generalizing Frobenius inversion to quaternion matrices, Numerical Algorithms, 2024, 97, pp. 101-116. (arXiv)
• Z. Dai, L.-H. Lim and and K. Ye, Complex matrix inversion via real matrix inversions, Numerische Mathematik, 2024, 156, pp. 2179-2219. (arXiv)
• Q. L. Huang, X. S. Gao and K. Ye, Skew-sparse matrix multiplication, Journal of Symbolic Computation, 2024, 121, 102240. (arXiv)
• J. T. Yang, K. Ye and L. H. Zhi, Computing sparse Fourier sum of squares on finite abelian groups in quasi-linear time, Applied and Computational Harmonic Analysis, 2024, 73, 101686. (arXiv) 
• J. Y. Lu and K. Ye, The Cayley transform on representations. (arXiv)
• Z. J. Li and K. Ye, Rational curvers on real classical groups. (arXiv)
• L.-H. Lim and K. Ye, Simple matrix models for the flag, Grassmann, and Stiefel manifolds. (arXiv)
• L.-H. Lim and K. Ye, Minimal equivariant embeddings of the Grassmannian and flag manifold. (arXiv)
• K. Ye, M. Niu, P. Cheung, Z. W. Dai and Y. Liu, Intrinsic Gaussian processes on manifolds and their accelerations by symmetry. (arXiv)

2023

• J. T. Yang, K. Ye and L. H. Zhi, Lower bounds of functions on finite abelian groups, In: Wu, W., Tong, G. (eds) Computing and Combinatorics. COCOON 2023. Lecture Notes in Computer Science, vol 14423. (arXiv)
• S. L. Hu and K. Ye, Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations, Mathematical Programming (Series A), 2023, 199, pp. 1305-1364. [解决了低秩正交张量逼近问题APD算法的Chen-Saad收敛性问题] (arXiv)
• P. Liu and K. Ye, Bundle-based similarity measurement for positive semidefinite matrices. (arXiv)

2022

• K. Ye, S. W. Wong and L.-H. Lim, Optimization on flag manifolds, Mathematical Programming (Series A), 2022, 194(1-2), pp. 621-660. (arXiv)
• Z. H. Lai, L.-H. Lim and K. Ye, Simpler flag optimization. (arXiv) 
• K. Ye and S. L . Hu, When geometry meets optimization theory: partially orthogonal tensors. (arXiv)

2021

• L.-H. Lim, S. W. Wong and K. Ye, The Grassmannian of affine subspaces, Foundations of Computational Mathematics, 2021, 21, pp. 537-574. (arXiv)

2020

• P. Comom, L.-H. Lim, Y. Qi and K. Ye, Topology of tensor ranks, Advances in Mathematics, 2020, 367, 107128. (arXiv)
• L.-H. Lim and K. Ye, Ubiquity of the exponent of matrix multiplication, In Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation (ISSAC '20), pp. 8-11. 
• Z. H. Lai, L.-H. Lim and K. Ye, Simpler Grassmannian optimization. (arXiv)
• J. W. Nie, K. Ye and L. H. Zhi, Tensor decompositions on algebraic varieties. (arXiv)

2019

• L.-H. Lim, R. Sepulchre and K. Ye, Geometric distance between positive definite matrices of different dimensions, IEEE Transactions on Information Theory, 2019, 65(9), pp. 5401-5405. (arXiv)
• Y. Qi, P. Comon, L.-H. Lim and K. Ye, Path connectedness of tensor ranks, 27th European Signal Processing Conference (EUSIPCO 2019), pp. 1-5.
• J. W. Nie and K. Ye, Hankel tensor decompositions and ranks, SIAM Journal on Matrix Analysis and Applications, 2019, 40(2), pp. 486-516. (arXiv)
• L.-H. Lim, S. W. Wong and K.Ye, Numerical algorithms on the affine Grassmannian, SIAM Journal on Matrix Analysis and Applications, 2019, 40(2), pp. 371-393. (arXiv)
• L.-H. Lim and K. Ye, Tensor network states ranks. (arXiv)

2018

• K. Ye and L.-H. Lim, Fast structured matrix computations: tensor rank and Cohn-Umans method, Foundations of Computational Mathematics, 2018, 18(1), pp. 45-95. (arXiv)
• T. R. Gao, L.-H. Lim and K. Ye, Semi-Riemannian manifold optimization. (arXiv)

2017

• K. Ye, New classes of matrix decompositions, Linear Algebra and its Applications, 2017, 514, pp. 47-81. (arXiv)
• K. Ye and L.-H. Lim, Cohomology of cryo-electron microscopy, SIAM Journal on Applied Geometry and Algebra, 2017, 1(1), pp. 507-535. (arXiv)
• K. Ye and S. L. Hu, Inverse eigenvalue problems for tensors, Communications in Mathematical Sciences, 2017, 15(6), pp. 1627-1649. (arXiv)

2016

• K. Ye and L.-H. Lim, Schubert varieties and distances between linear spaces of different dimensions, SIAM Journal on Matrix Analysis and Applications, 2016, 37(3), pp. 1176-1197. (arXiv)
• S. L. Hu and K. Ye, Multiplicities of tensor eigenvalues, Communications in Mathematical Sciences, 2016, 14(4), pp. 1049-1071. (arXiv)
• K. Ye and L.-H. Lim, Algorithms for structured matrix-vector product of optimal bilinear complexity, 2016 IEEE Information Theory Workshop (ITW 2016), pp. 310-314.
• K. Ye and L.-H. Lim, Every matrix is a product of Toeplitz matrices, Foundations of Computational Mathematics, 2016, 16(3), pp. 577-598. [证明了复数域上的任意矩阵都可以分解成有限个Toeplitz矩阵的乘积，部分解决了T. Y. Lam提出的问题] (arXiv)

2012

• J. M. Landsberg, Y. Qi and K. Ye, On the geometry of tensor network states, Quantum Information & Computation, 2012, 12(3-4), pp. 346-354. [证明了张量网络状态的极限不一定仍是张量网络状态，回答了L. Grasedyck提出的问题] (arXiv)

2011

• K. Ye, The stabilizers of immanants, Linear Algebra and Its Applications, 2011, 435(5), pp. 1085-1098. (arXiv)

• 第17届全国代数学会议，大会报告，哈尔滨（2025）
• IMS-NTU joint workshop on Applied Geometry for Data Sciences, Singapore (2024) 
• SIAM Conference on Applied Linear Algebra, Sorbonne University, Paris, France (2024)
• Algebraic geometry and complexity theory workshop,Warsaw, Poland (2022)
• SIAM Conference on Applied Algebraic geometry, Texas A&M University, College Station, Texas, USA (2021)
• SIAM Conference on Applied Linear Algebra, New Orleans, Louisana, USA (2021)
• 清华大学，现代数学报告，北京（2021）
• Data Science Seminar, Mathematical Institute, Orxford University, Oxford, UK (2021)

中国

中科院数学与系统科学研究院: 赖泽华，李子佳，高小山， 杨剑霆，支丽红

山东大学: 黄巧龙

国防科技大学: 胡胜龙

美国

University of Chicago: Rongbiao Wang, Xiang Lu, Zhen Dai, Tingran Gao, Ken Sze-Wai Wong, Lek-Heng Lim

Texas A&M University: Joseph M. Landsberg

University of Berkeley at San Diego: Jiawang Nie

University of Missouri: Jeffrey Uhlmann

加拿大

University of Waterloo: Jingyu Lu

法国

CNRS: Pierre Comon

Ecole Polytechnique: Yang Qi 

英国

University of Glasgow: Mu Niu 

University of Cambridge: Rodolphe Sepulchre

新加坡

Nanyang Technological University: Kelin Xia

韩国

Institute for Basic Science: Hong Liu

• 国家自然科学基金面上项目，矩阵代数簇上的符号计算， 43万, 2026--2029
• 华为敞口项目，基于流形的数据压缩和传输算法，72万, 2022--2023
• 华为敞口项目，通信中的结构矩阵乘法，64万, 2021--2022
• 国家自然科学基金青年项目，与子空间相关的流形上的数值微分几何，26万，2019--2021
• 海外高层次人才引进计划青年项目（优先支持），300万，2018--2021

• 中国科学院数学与系统科学研究院年度科研进展奖，2025
• 国际符号与代数计算会议（ISSAC）最佳学生论文，2024 
• 华为无线网络产品线优秀合作项目奖，2023 
• 吴文俊计算机数学青年学者奖，2023
• 华为技术合作成果转化二等奖，2022
• 中国科学院数学与系统科学研究院“陈景润未来之星”，2021
• 中国科学院数学与系统科学研究院系统所关肇直青年研究奖，2017

• 姜凯文（硕士）：2025--至今
• 刘沿清（硕士）：2023--2026
• 王立夏（博士）：2022--至今 [华罗庚奖学金，合作论文：a, b]
• 陈琦元（博士）：2021--2026 [国家奖学金，华罗庚奖学金，ISSAC '24最佳学生论文奖，合作论文：a, b, c, d, e, f, g, h]
• 王愚（博士）：2020--2025 [合作论文：a, b] 毕业去向：国防科技大学（博士后）
• 刘鹏（博士）：2018--2024 [华为技术合作成果转化二等奖，华为无线网络产品线优秀合作项目奖，合作论文：a] 毕业去向：新石器无人车