Tianzhi Li
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Tianzhi Li 李天志

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Ph.D. Student
Department of Mechanics and Engineering Science
Peking University (PKU)
& Division of Mathematical Sciences
Nanyang Technological University (NTU)

Email (NTU): n2409573c@e.ntu.edu.sg
Email (PKU): tlee@stu.pku.edu.cn
Website: https://tianzhi-li.github.io
YouTube: https://www.youtube.com/%40tianzhi_li
Google Scholar and ResearchGate

About me

I am currently a visiting PhD student (under the supervision of Prof. François Gay-Balmaz) at Nanyang Technological University (NTU) in Singapore. I received my B.Sc. in Mathematics from Beijing Institute of Technology (BIT) in 2021 (Supervisor: Prof. Donghua Shi). Now I am also a PhD student (Supervisor: Prof. Jinzhi Wang) majored in Mechanics and Control at Peking University (PKU).

Please feel free to drop me an email for discussions about any interestnig research topics on Geometry, Mechanics, and Control!

Research Interest

My research interest lies at geometric modeling and simulation of dynamical systems, which includes the following topics:

  • Geometric Mechanics (Stochastic & Nonholonomic)

  • Estimation and Filtering (Robot Systems & Flexible Systems)

  • Geometric Numerical Integration (Variational Integrators)

  • Geometry of Gaussian Distributions (Controlling Uncertainties)

  • Computationally Efficient Physics-Informed Learning

Selected Research

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Variational unscented Kalman filter on matrix Lie groups
Automatica, 172: 111995, 2025 (Regular Paper).
[Paper PDF]
T. Li and J. Wang

Brief Abstract: We propose a family of computationally efficient unscented Kalman filters (UKF-Vs) for mechanical systems on matrix Lie groups.

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Reduced dynamics and geometric optimal control of nonequilibrium thermodynamics: Gaussian case
Automatica, 164: 111626, 2024 (Regular Paper).
[Paper PDF]
T. Li, R. Fu, and J. Wang

Brief Abstract: We study the geometric structures of n-DOF Gaussian distributions, and we propose a geometric optimal control algorithm for minimum-energy optimal control problem of Gaussian distributions.

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Multisymplectic unscented Kalman filter for geometrically exact beams
In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information (GSI 2023). Lecture Notes in Computer Science, vol 14072. Springer, Cham.
[Paper PDF]
T. Li and J. Wang

Brief Abstract: We propose a geometric estimation algorithm for geometrically exact beams based on geometric mechanics and classical field theory. The structure-preserving property of the proposed filter is demonstrated by numerical results.

News

  • June 2025: I am humbled and beyond grateful to recieve the PKU Presidential Doctoral Fellowship (2025-2026)!

  • Dec 2024: I am so happy and excited to be a visiting student under the supervision of Prof. François Gay-Balmaz at Nanyang Technological University (NTU) in Singapore!

  • Nov 2024: I am very honored to recieve the PKU-CoE Presidential Doctoral Fellowship-First Prize (2024-2025)!

  • July 2024: I am so happy to announce that I am awarded the CSC Scholarship! I will be a visiting student of Prof. François Gay-Balmaz at Nanyang Technological University (NTU) for a 12-month academic visit.

  • April 2024: I was thrilled to give a talk about my PhD work at Beijing Institute of Technology (BIT) invited by Prof. Qiang Tian and Prof. Ju Chen. The discussion was very insightful and interesting!

  • August 2023: I was thrilled to present “Multisymplectic Unscented Kalman Filter for Geometrically Exact Beams” at the 6th International Conference on Geometric Science of Information (GSI)! I am very grateful to Prof. Hiroaki Yoshimura and Dr. Christian Offen for their valuable comments and suggestions on my work! Also, I was very lucky to meet Stephanie Chen, Juliette Florin, Daiying Yin, and Takemi Nakamura. We had some happy time at Saint-Malo, France!

  • July 2023: I was honored to present ’'Variational Unscented Kalman Filter on Matrix Lie Groups’’ at the Geometric Mechanics & Control Seminar (BIT) organized by Prof. Donghua Shi and Prof. Dmitry Zenkov.

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