Research

Publications

• In preparation
  • A multidimensional proxy point method
• To be submitted
  • (With J. Xia) Accuracy analysis of the proxy point method with applications to some Toeplitz matrices, SIAM J. Sci. Comput., pre-print
• Submitted
  • Fast spectrum estimation of some kernel matrices, SIAM J. Matrix Anal. Appl., pre-print
• Published
  • (With J. Xia) Rank-structured approximation of some Cauchy matrices with sublinear complexity, Numer. Linear Algebra Appl. 31(1):e2526 (2024) pdf
  • (With J. O'Rourke and I. Swanson) Frobenius numbers of numerical semigroups generated by three consecutive squares or cubes, Semigroup Forum 91(1) (2015), pp. 238-259. pdf

Talks

• Invited talk, Randomized Eigenvalue Estimation of Kernel Matrices, SIAM Conference on Applied Linear Algebra 2024, Paris, France. (May 2024)
• Estimating Kernel Eigenvalues, Conference on Fast Direct Solvers 2023, West Lafayette, Indiana, USA. (November 2023)
• Estimating Kernel Eigenvalues, <codes> at Emory, Atlanta, Georgia (October 2023)
• Geometric Estimates for Kernel Matrix Eigenvalues, 25th Conference of the International Linear Algebra Society, Madrid, Spain. (June 2023)
• A Multidimensional Proxy Point Method and Its Applications, 17th Copper Mountain Conference on Iterative Methods, Frisco, Colorado, USA. (April 2022; held virtually)
• Proxy point method for multidimensional low-rank approximations of some analytic kernels, AMS Spring Central Sectional Meeting, Indiana, USA. (March 2022; held virtually)
• Proxy point method for low-rank approximations of analytic kernels with applications to some Toeplitz problems, Conference on Fast Direct Solvers 2021, West Lafayette, Indiana, USA. (October 2021; held virtually)
• Accelerating Computations Involving Cauchy Matrices, SIAM Conference on Computational Science and Engineering 2021, Fort Worth, Texas, USA. (March 2021; held virtually)
• Invited talk, Robust SIF Preconditioners for SPD Matrices, 22nd Conference of the International Linear Algebra Society, Rio de Janeiro, Brazil. (July 2019)
• Hierarchical Approximation Analysis for Sparse Matrices, 20th International Conference on Preconditioning Techniques for Scientific and Industrial Applications, Minneapolis, Minnesota, USA. (July 2019)
• Numerical Semigroups and the Frobenius Number, Northwest Undergraduate Mathematics Symposium, Portland, Oregon, USA. (March 2012)