Nan Li

Nan Li serves as an Associate Professor in the Department of Mathematics at the School of Arts and Sciences, City University of New York (CUNY), with his office located in N-724. He can be contacted via email at nli@citytech.cuny.edu and maintains an academic homepage for research dissemination.

Education:

• Ph.D. from Rutgers University

Research Interests:
Nan Li specializes in Differential Geometry and Metric Geometry, with concentrated expertise in Alexandrov spaces—metric spaces exhibiting curvature bounded below. His research investigates structural properties of singular sets, volume rigidity phenomena, and tangent cone behavior under Ricci curvature constraints. His methodological approach combines geometric measure theory with probabilistic techniques to derive quantitative estimates, significantly advancing the understanding of metric space convergence and rigidity theorems.

Publication Trends:
Professor Li's scholarly output demonstrates a consistent focus on geometric analysis of metric spaces since 2010. His early work established foundational results in volume rigidity (2012-2015), evolving toward increasingly sophisticated quantitative analyses of singular sets (2018-2023). Recent publications explore CR-holomorphic functions in Sasakian manifolds and C2-singular set estimations, reflecting an expansion into complex-geometric interactions while maintaining core emphasis on Alexandrov space theory and Ricci curvature implications.

Grants and Advising:
He secured a PSC CUNY grant during the 2018-2019 academic year to support his geometric analysis research. His publication record reveals substantive collaborations with leading mathematicians including Aaron Naber, Vitali Kapovitch, and Xiaochun Rong, though specific student advising details remain undisclosed in available sources.