- Block copolymer melts and topological applications to material science
- Pattern formation
- “Moving and jumping spot in a two dimensional reaction-diffusion model”, Shuangquan Xie and Theodore Kolokolnikov, Nonlinearity Vol.30 No.4, 1536-1563,2017.
- “Oscillations of many interfaces in the near-shadow regime of two-component reaction-diffusion systems”, Shuangquan Xie and Theodore Kolokolnikov, DCDS-B Vol. 21 Issue 3, 959-975, 2016, DOI: 10.3934/dcdsb.2016.21.959
- “Multi-vortex crystal lattices in Bose-Einstein Condensates with a rotating trap”. Shuangquan Xie, Panayotis G. Kevrekidis and Theodore Kolokolnikov, Submitted to Proceedings of the Royal Society A.