James B. Duke Distinguished Professor

Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science, machine learning, and other related fields.

More specifically, his current research focuses include:

High dimensional PDEs; generative models and sampling methods; control and reinforcement learning; electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis.

## Appointments and Affiliations

- James B. Duke Distinguished Professor
- Professor of Mathematics
- Professor of Physics
- Associate Professor of Chemistry

## Contact Information

**Office Location:**242 Physics Bldg, 120 Science Drive, Durham, NC 27708**Email Address:**jianfeng@math.duke.edu**Websites:**

## Education

- Ph.D. Princeton University, 2009

## Awards, Honors, and Distinctions

- Feng Kang Prize of Scientific Computing. Chinese Academy of Sciences. 2023
- IMA Prize in Mathematics and its Applications. Institute of Mathematics and its Applications. 2017
- CAREER Award. National Science Foundation. 2015
- Sloan Research Fellowship. Alfred P. Sloan Foundation. 2013
- Porter Ogden Jacobus Fellowship. Princeton University. 2008

## Courses Taught

- PHYSICS 590: Selected Topics in Theoretical Physics
- MATH 690-70: Topics in Applied Mathematics
- MATH 690-60: Topics in Numerical Methods
- MATH 660: Numerical Partial Differential Equations
- MATH 631: Measure and Integration
- MATH 555: Ordinary Differential Equations
- MATH 493: Research Independent Study
- MATH 393: Research Independent Study
- MATH 391: Independent Study

## In the News

- Duke Announces 32 New Distinguished Professorships (Mar 19, 2024 | Duke Today)
- Duke Awards 32 New Distinguished Professorships for 2024 (Mar 19, 2024 | Duke T…
- Pratt Researchers to Harness Computational Power to Solve Time-Intensive Calcul…
- Sloan Foundation Names Charbonneau, Lu as 2013 Research Fellows (Feb 15, 2013)

## Representative Publications

- Lu, J., and K. D. Stubbs. “Algebraic Localization of Wannier Functions Implies Chern Triviality in Non-periodic Insulators (Accepted).” Annales Henri Poincare 25, no. 8 (August 1, 2024): 3911–26. https://doi.org/10.1007/s00023-024-01444-z.
- Chen, Hongrui, Bowen Li, Jianfeng Lu, and Lexing Ying. “A Randomized Method for Simulating Lindblad Equations and Thermal State Preparation,” July 9, 2024.
- Li, Bowen, and Jianfeng Lu. “Quantum space-time Poincaré inequality for Lindblad dynamics,” June 13, 2024.
- Fang, Di, Jianfeng Lu, and Yu Tong. “Mixing Time of Open Quantum Systems via Hypocoercivity,” April 17, 2024.
- Lu, J., Y. Wu, and Y. Xiang. “Score-based transport modeling for mean-field Fokker-Planck equations.” Journal of Computational Physics 503 (April 15, 2024). https://doi.org/10.1016/j.jcp.2024.112859.