Shangshuai Li
Integrable systems · ASDYM · AI-assisted researchWelcome to my research desktop
Integrable Systems · Sato Theory · ASDYM · AI-assisted Research
Welcome to my personal academic homepage. I am a researcher working at the intersection of integrable systems, gauge field theory, and geometric analysis. My current work focuses on the mathematical structures underlying soliton equations, anti-self-dual Yang–Mills theory, Sato theory, and related algebraic and geometric methods. This website collects my publications, research notes, talks, and ongoing projects, including my recent interests in AI-assisted mathematical research.
© 2026 Shangshuai Li · Built as a personal research system.
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Talk slides and research papers stored on ShuAIence.
Locally stored arXiv research papers
Seminar, workshop, and conference presentations
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Welcome to my research desktop
Integrable Systems · Sato Theory · ASDYM · AI-assisted Research
Research profile
I study the mathematical structures behind integrable systems and anti-self-dual Yang–Mills theory, while exploring thoughtful uses of AI in mathematical research.
Research areas
Research profile
Research focus · 01
My research lies in the area of integrable systems and their connections with geometry and mathematical physics. I am particularly interested in soliton equations, Sato theory, Cauchy matrix methods, and anti-self-dual Yang–Mills theory, with an emphasis on the algebraic and geometric structures behind integrable hierarchies.
Research focus · 02
In addition to my mathematical research, I am exploring how AI-assisted workflows can support mathematical writing, literature organization, symbolic computation, and the construction of personal research systems. I see these tools not as replacements for mathematical thinking, but as new ways to organize, test, and develop ideas.
Academic path
The current position is listed first, followed by overseas experience and education.
2025-present
2025-present
Host: Masashi Hamanaka↗
2024-2025
Host: Kenichi Maruno↗
2019
Host: Peter van der Kamp
2019-2025
Advisor: Da-jun Zhang
Thesis: Direct method to the self-dual Yang-Mills equation
2015-2019
Stay in touch
For research discussions, collaborations, and academic correspondence.
© 2026 Shangshuai Li · Built as a personal research system.
Selected project
A three-card, tarot-inspired research reflection tool for drafts, proofs, submissions, collaborations, and uncertain methods.
More experiments will appear here as they become ready to use.
2026 News
Research log · July 20, 2026
We refactored the website's codebase into a macOS-inspired research desktop and added in-browser previews for locally hosted PDF documents.
Research log · June 30, 2026
We launched this website today.
2026 Publications
2025 Publications
2024 Publications
2023 Publications
2022 Publications
2021 Publications
Preprint · 2026
Shangshuai Li, Ken-ichi Maruno, Da-jun Zhang
arXiv preprint, 2026
Published research · 2026
Zichen Huang, Shangshuai Li, Da-jun Zhang
Applied Mathematics Letters, 172, 109726, 2026
Published research · 2025
Shangshuai Li, Shuzhi Liu, Da-jun Zhang
Studies in Applied Mathematics, 155(4), e70126, 2025
Published research · 2025
Shangshuai Li, Masashi Hamanaka, Shan-Chi Huang, Da-Jun Zhang
Physical Review D, 111(8), 086023, 2025
Published research · 2025
Shangshuai Li, Da-jun Zhang
Journal of Geometry and Physics, 207, 105351, 2025
Published research · 2024
Conghan Wang, Shangshuai Li, Da-jun Zhang
Theoretical and Mathematical Physics, 221(3), 2049-2061, 2024
Published research · 2024
Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang
Reports on Mathematical Physics, 94(1), 47-72, 2024
Published research · 2024
Alemu Yilma Tefera, Shangshuai Li, Da-jun Zhang
Communications in Theoretical Physics, 76(5), 055001, 2024
Published research · 2024
Shangshuai Li, Da-jun Zhang
Communications in Nonlinear Science and Numerical Simulation, 129, 107705, 2024
Published research · 2023
Shangshuai Li, Changzheng Qu, Da-jun Zhang
Physica D: Nonlinear Phenomena, 453, 133828, 2023
Published research · 2022
Zhihao Shi, Shangshuai Li, Da-jun Zhang
Theoretical and Mathematical Physics, 213(3), 1686-1697, 2022
Published research · 2022
Shangshuai Li, Changzheng Qu, Xiangxuan Yi, Da-jun Zhang
Studies in Applied Mathematics, 148(4), 1703-1721, 2022
Published research · 2021
Shangshuai Li, Frank W. Nijhoff, Ying-ying Sun, Da-jun Zhang
Journal of Physics A: Mathematical and Theoretical, 54(7), 075201, 2021
2026 Talks
2025 Talks
2024 Talks
Seminar or conference talk · 2026
March 22, 2026
Seminar or conference talk · 2025
January 9, 2025
Seminar or conference talk · 2024
November 8, 2024
Seminar or conference talk · 2024
March 15, 2024
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Divination for research days
Ask a research question. Shuffle the Academic Arcana. Reveal a three-card reading.
A tarot-inspired symbolic reading for researchers, writers, and scholars facing drafts, proofs, revisions, submissions, collaborations, and uncertain methods.
For scholarly entertainment only. The Oracle is not responsible for rejected papers, broken theorems, or emails sent at 2:00 AM.
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1
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