# Weng, Daping

Assistant Professor

dweng@unc.edu

Website

## Research Interests

Cluster theory, representation theory, algebraic geometry, symplectic geometry, and mathematical physics

## Professional Background

B. S. University of Chicago, 2012; Ph.D. Yale University, 2018; Visiting Assistant Professor Michigan State University, 2018-2021; Krener Assistant Professor UC Davis, 2021-2024

## Research Synopsis

My research focuses on the study of cluster algebras and their applications in combinatorics, geometry, and representation theory. In recent years I have been working mostly on the connection between cluster theory and Legendrian links in low dimensional topology. I am also broadly interested in Poisson geometry, integrable systems, and mathematical physics.

## Representative Publications

*Augmentations, fillings, and clusters*

H. Gao and L. Shen and D. Weng,

Geom. Funct. Anal., vol. 34, pp. 798-867, 2024

*Microlocal theory of Legendrian links and cluster algebras*

R. Casals and D. Weng,

Geometry and Topology, 28, pp. 901-1000, 2024

*Cluster structures on double Bott–Samelson cells*

L. Shen and D. Weng,

Forum of Mathematics, Sigma, 9:e66. doi:10.1017/fms.2021.59, 2021