I am a Research Associate in the Integrable Systems Group headed by Prof Nalini Joshi at the University of Sydney. Currently I am interested in integrable systems and Painlevé equations.
In 2017 I completed my PhD in Applied Mathematics under the supervision of Professor Da-jun Zhang at Shanghai University, P.R. China. In my thesis I mainly studied the applications of the theory of elliptic functions and elliptic curves in integrable systems. During my PhD I spent one year (2016-2017) at the University of Sydney studying discrete integrable systems, supervised by Professor Nalini Joshi, and supported by the China Scholarship Council.
Recently, I have been working on discrete integrable systems, which involves studying some special functions, and understanding the relations between different classes of integrable systems.
Sun, Ying-ying; Zhang, D. and Nijhoff, F. (2017) The Sylvester equation and the elliptic Korteweg-de Vries system. Journal of Mathematical Physics, 58: 033504.
Zhao, Song-lin and Sun, Y. (2016) A discrete negative order potential Korteweg-de Vries equation. Zeitschruft für Naturforschung A, 71: 1151-1158.
TRAVEL IN 2018
April: Attended workshop on Asymptotic, Algebraic and Geometric Aspects of Integrable Systems, at Tsinghua Sanya International Mathematics Forum, Sanya, China.