I am a fifth-year Ph.D. student at the Department of mathematics at Stanford University. I am very fortunate to be advised by Professor Lexing Ying. I received my Bachelor's degree in Mathematics from Peking University in 2019. Here is my CV.

Papers

• Quantum Multiple Eigenvalue Gaussian filtered Search: an efficient and versatile quantum phase estimation method
  Zhiyan Ding, Haoya Li, Lin Lin, Hongkang Ni, Lexing Ying, Ruizhe Zhang
  Submitted

• Quantum Hamiltonian Learning for the Fermi-Hubbard Model
  Hongkang Ni, Haoya Li, Lexing Ying
  Submitted

• Heisenberg-limited Hamiltonian learning for interacting bosons
  Haoya Li, Yu Tong, Tuvia Gefen, Hongkang Ni, Lexing Ying
  Submitted

• On low-depth quantum algorithms for robust multiple-phase estimation
  Haoya Li, Hongkang Ni, Lexing Ying
  Physical Review A

• A note on spike localization for line spectrum estimation
  Haoya Li, Hongkang Ni, Lexing Ying
  Applied and Computational Harmonic Analysis

• On low-depth algorithms for quantum phase estimation
  Hongkang Ni, Haoya Li, Lexing Ying
  Quantum

• On efficient quantum block encoding of pseudo-differential operators
  Haoya Li, Hongkang Ni, Lexing Ying
  Quantum

• Monte Carlo tree search based hybrid optimization of variational quantum circuits
  Jiahao Yao, Haoya Li, Marin Bukov, Lin Lin, Lexing Ying
  MSML 2022

• Accelerating primal-dual methods for regularized Markov decision processes
  Haoya Li, Hsiang-fu Yu, Lexing Ying, Inderjit Dhillon
  SIAM Journal on Optimization (SIOPT)

• Approximate Newton policy gradient algorithms
  Haoya Li, Samarth Gupta, Hsiang-fu Yu, Lexing Ying, Inderjit Dhillon
  SIAM Journal on Scientific Computing (SISC)

• A semigroup method for high dimensional elliptic PDEs and eigenvalue problems based on neural networks
  Haoya Li, Lexing Ying
  Journal of Computational Physics

• A semigroup method for high dimensional committor functions based on neural network
  Haoya Li, Yuehaw Khoo, Yinuo Ren, Lexing Ying
  MSML 2021

• A simple multiscale method for mean field games
  Haoya Li, Yuwei Fan, Lexing Ying
  Journal of Computational Physics

Teaching

• Math 104: Applied Matrix Theory
  Fall 2019, Spring 2020, Winter 2021

• Math 51: Linear Algebra and Differential Calculus of Several Variables
  Spring 2021, Fall 2023

• Math 172: Lebesgue Integration and Fourier Analysis
  Fall 2021

• Math 20: Calculus
  Winter 2022

• Math 53: Ordinary Differential Equations with Linear Algebra
  Fall 2022

• Math 131P: Partial Differential Equations
  Winter 2023, Winter 2024

• Seminar for the Preparation of Applied Mathematics Qualifying Examinations

Contact

• Email: lihaoya@stanford.edu