Chern Institute of Mathematics - China
Author Profile
Scopus
🎓 Early Academic Pursuits
Dr. Yangshanshan Liu began her academic journey with a Bachelor of Science in Mathematics from Liaoning University in 2010, where she completed a thesis on financial modeling using the ARCH model. Demonstrating early academic excellence, she received scholarships throughout her undergraduate studies. Her passion for theoretical mathematics led her to pursue a Master's degree at Sichuan University, where she worked under the guidance of Professor Shiqing Zhang. Her master's thesis explored symmetric central configurations in the planar concave five-body problem with the Newtonian potential—marking her first major step into Celestial mechanics. Her academic path culminated in a Ph.D. in Mathematics at the same institution, further deepening her expertise in Celestial mechanics and n-body problems.
💼 Professional Endeavors
Throughout her postgraduate years, Dr. Liu dedicated herself to deep theoretical inquiry and mathematical modeling of gravitational systems. Her doctoral thesis, titled Central Configurations of the Newtonian n-Body Problems with Homogeneous Potentials, addressed complex phenomena within Celestial mechanics. Dr. Liu’s academic career is distinguished by her continuous involvement in research, combining classical mechanics with modern mathematical frameworks such as Hamiltonian systems and computational algebraic geometry. Her educational journey was supported by prestigious awards, including annual Ph.D. and Master's scholarships, and the Liu Yingming Scholarship.
🔬 Contributions and Research Focus
Dr. Yangshanshan Liu's primary research contributions lie in Celestial mechanics, with a strong focus on central configurations, Hamiltonian dynamics, and the mathematical structure of n-body problems. Her work blends rigorous mathematical theory with computational techniques to explore the fundamental nature of gravitational systems. She has contributed original findings on the role of symmetry and stability in central configurations and has applied tools from index theory and computational algebraic geometry to classify and analyze these complex systems. Her interdisciplinary skill set also includes programming, enhancing her computational modeling and simulation capabilities.
🌍 Impact and Influence
Dr. Liu has established herself as a promising scholar in Celestial mechanics. Her research has not only deepened the understanding of gravitational configurations but also set a strong example of how classical mathematics can be revitalized with modern computational tools. As a recipient of multiple scholarships and honors throughout her academic career, she is recognized as a leading young mathematician. Her mentorship under renowned professor Shiqing Zhang and her rigorous training at Sichuan University have further strengthened her influence in academic circles.
🏆Academic Cites
Though at an early stage in her academic career, Dr. Liu has already made contributions to mathematical literature in Celestial mechanics. Her research on n-body problems and central configurations is expected to draw increasing citations as she continues publishing in high-impact journals. Her methodological innovations and insightful analyses position her to become a frequently cited scholar in the field, particularly among researchers focused on celestial dynamics, Hamiltonian systems, and mathematical physics.
🌟 Legacy and Future Contributions
Dr. Yangshanshan Liu’s legacy is just beginning to unfold. With her robust mathematical background, proven research capabilities, and a clear focus on the deep challenges within Celestial mechanics, she is poised to make lasting contributions to the field. Her future work promises to expand the mathematical frameworks surrounding gravitational systems and to inspire new generations of researchers in mathematical physics and computational dynamics. As she continues to grow in her academic career, her impact is expected to resonate across theoretical and applied mathematics.
📝Celestial mechanics
Dr. Yangshanshan Liu's research in Celestial mechanics is at the forefront of n-body problem theory and Hamiltonian systems. Her studies on central configurations and index theory provide a rich mathematical lens to understand the complexities of Celestial mechanics. With a focus on innovation, her ongoing work is expected to shape the future of Celestial mechanics for years to come.
Notable Publication
📝A Characterization of a Special Planar 5-Body Central Configuration with a Trapezoidal Convex Hull
Authors: Yangshanshan Liu (Y. Liu), Shiqing Zhang (S. Zhang)
Journal: Journal of Geometry and Physics
Year: 2025
Citations: 0