- Xiantao Li
- Professor
- Department of Mathematics
- Penn State University
Contact: 219C McAllister BuildingPenn State UniveristyUniversity Park, PA 16802
Email: XLI AT MATH DOT PSU DOT EDU
Research Publications
- Quantum Computing Algorithms. A description of our quantum computing research.
- Quantum Transport and Open Quantum System
- Stochastic analysis and modeling
- Ab initio molecular dynamics and electronic structure
- Coarse-grained molecular dynamics
- Reduced-order modeling
- Data assimilation and Data-driven methods.
- Computational Mechanics.
- Nano-scale non-Fourier heat conduction
- Scientific Computing and Numerical Analysis in General
- Teaching
- Math/CSE 551: Numerical Solutions of Differential Equations.
- Solutions of ODEs and SDEs
- ODE/SDE-based Data-Driven methods
- Reduced-order modeling
- Math 452: Deep Learning Algorithms and Analysis
- Upcoming events:
- IPAM workshop on Quantum algorithms for scientific computation
- Oct 2–6, 2023.
- Fortieth International Conference on Machine Learning
- July 23–28, 2023.
- Talk: “Efficient Quantum Algorithms for Quantum Optimal Control Problems”. (paper Link)
- IPAM workshop on New Mathematics for the Exascale: Applications to Materials Science
- April 17–21, 2023.
- Talk: “A stochastic algorithm for self-consistent calculations in Density-Functional Theory”. (Youtube link)
- APS March Meeting
- March, 2023.
- Talk: “Quantum Algorithms for Quantum Optimal Control Problems with Precise Cost Estimates”. (APS Link)
- Computational Mathematics for Quantum Technologies
- August 1 – 5, 2022.
- SIAM Annual Meeting
- July 11 – 15, 2022.
- Dynamics Days.
- August 23-27, 2021.
- SIAM Material Science Meeting.
- May 17 – 28, 2021.
- SIAM CSE Meeting
- March 1-5, 2020.
Seminars.
- I am organizing a quantum machine learning working seminar
- CAM Colloquium: Quantum-related math seminars in Spring 2023: Feb 20 ; March 13 ; Apr 10
Recent Presentations.
- In Spring 2023, I taught a Topics Course on Quantum-Related Computations (Quantum Dynamics, Density-functional Theory, Quantum Computing, etc.)
- A presentation on Unravelling non-Markovian open quantum systems.
- A presentation on Mori-Zwanzig formalism for complex dynamics models
- My Lecture Notes Introduction to Molecular Dynamics Simulations
I have organized a workshop on Dimension Reduction.
Teaching and Mentoring: Current graduate student: He Zhang; Taehee Ko; Yushang Luo.Former students: Adam Telatovich; Weiqi Chu; Xiaojie Wu, Chao Liang.
Research projects for undergraduate students. Check back later for summer research projects in 2020.