Research Areas

My research focuses on nonlinear analysis and PDEs, specifically on critical points and extrema of periodic functionals like heat kernel, eigenvalues, and lattice potentials on tori.

Education

2021.09–2026.06 Ph.D. in Tsinghua University

2017.09–2021.06 B.S. in Beijing Normal University

Awards

2026年清华大学数学系北京市优秀毕业生

2025年清华大学华泰科技奖学金

Publications

1. C.-G. Long, J. Wei and W. Zou, The classification of critical points of Heat kernel on tori and application to elliptic equation and Mueller-Ho Conjecture. accepted by Ann. Scuola Norm. Sup. Pisa Cl. Sci., 2025.

2. C.-G. Long, S. Luo and W. Zou, On minima of lattice energy under Yukawa potentials. Nonlinear Anal., 2026, 266: Paper No. 114045, 17pp.