I am a fifth-year Ph.D. in Computational and Applied Mathematics at University of Chicago advised by Lek-Heng Lim.
Research
I am interested in the roles of symmetry and invariance in computation, with applications in optimization, numerical linear algebra, and quantum computing.
Papers
- Singular Value Decomposition of Unbounded Operatorswith Haoming Wang and Lek-Heng Lim, Preprint
- The Grassmannian of Indefinite Subspaceswith Lek-Heng Lim and Hongquan Yang, Preprint
- Linear Representations of Manifoldswith Lek-Heng Lim and Ke Ye, Preprint
- Generalized Matrix Nearness Problems IIwith Chi-Kwong Li and Lek-Heng Lim, Preprint
- Summing Divergent Matrix Serieswith Jungho Lee and Lek-Heng Lim, Numerische Mathematik (2025)
- Geometric Programming for 3D Circuitswith Lek-Heng Lim, Preprint
- Pattern Problems related to the Arithmetic Kakeya Conjecturewith Charlie Cowen-Breen, Elene Karangozishvili, and Narmada Varadarajan, Preprint
Talks
- Linear Representations of ManifoldsMatrix Analysis and Applications, JMM 2027 — January 2027
- Symmetries in ComputationsMathematics Colloquium, William & Mary — September 2026
- Manifold Representation and Riemannian OptimizationAlgebro-geometric Methods in Deep Learning, 2026 SIAM Annual Meeting — July 2026
- A Ten-fold Way of Matrix DecompositionsMidwest Numerical Analysis Day, University of Notre Dame — April 2026
- Summing Divergent Matrix SeriesAlgebraic Statistics, Institute for Mathematical and Statistical Innovation — November 2023
Academic Activities
Graduate Teaching Assistant, University of Chicago
- STAT 30900 (Matrix Computation) — Fall 2023, Fall 2024
- STAT 28000 (Optimization) — Spring 2024
- STAT 30960 (Matrix Calculus) — Spring 2025Guest Lecturer
Conference Organization
- Special Session on Applied and Computational Differential Geometry, AMS 2026 Spring Eastern Sectional Meeting
- Minisymposium on Matrix Geometries, ILAS 2026
- Special Session on Algebra and Geometry in Computations, JMM 2027
Referee
- SIAM Journal on Matrix Analysis and Applications
- SIAM Journal on Scientific Computing
- Journal of Machine Learning Research
- Calcolo
- Advances in Applied Clifford Algebras
- Linear Algebra and Its Applications
- Numerical Linear Algebra with Applications
- Discrete & Computational Geometry
- Linear and Multilinear Algebra
- Mathematics of Computation
Short Programs
- Study Abroad at Math in Moscow, Independent University of Moscow (Spring 2021)
- REU at Budapest Semesters in Mathematics (Summer 2020)
- Gene Golub SIAM Summer School on Quantum Computing, Duke University (Summer 2026)
- Metric Algebraic Geometry: Going Global, ICERM (Spring 2027)