Sean Li

Sean Li is an Assistant Professor at the Department of Mathematics, University of Connecticut. Prior to this, he was a L.E. Dickson Instructor at the University of Chicago and earned his Ph.D. from the Courant Institute at NYU under Assaf Naor. His research focuses on metric geometry, functional analysis, geometric measure theory, and harmonic analysis, with a particular emphasis on Carnot groups and Heisenberg groups. He has collaborated extensively with mathematicians such as Vasilis Chousionis, Robert Young, and Enrico Le Donne.

His work explores topics including singular integrals, rectifiability, geometric measure theory, and analysis on metric spaces. Key contributions include studies on the traveling salesman theorem in Carnot groups, the Riesz transform on Lipschitz graphs, and differentiability in infinite-dimensional spaces. His articles often address geometric and analytic challenges in non-Euclidean settings, such as stratified β-numbers and bi-Lipschitz embeddings.

Sean’s research has been published in prestigious journals like the Journal of Functional Analysis, Annales Academiæ Scientiarum Fennicæ Mathematica, and Revista Matemática Iberoamericana. His collaborations span a wide array of topics, reflecting his expertise in both pure mathematics and its applications to geometric analysis.