Jun Li (mathematician)

Jun Li is a mathematician known for his significant contributions to algebraic geometry, particularly in the areas of moduli spaces of stable maps, Gromov-Witten theory, and related areas of enumerative geometry. He has developed techniques for defining and computing virtual fundamental classes for moduli spaces with obstructed deformation theories.

Li's work has provided rigorous foundations and powerful tools for calculating Gromov-Witten invariants, which are fundamental quantities in string theory and mathematical physics. His contributions are crucial for understanding the enumerative geometry of curves on algebraic varieties.

A key aspect of his research involves dealing with singularities and non-compactness in moduli spaces. He has developed methods to compactify moduli spaces in a way that allows for the consistent definition of virtual fundamental classes, even in the presence of singularities. This work has been essential for extending the reach of Gromov-Witten theory and related areas.

Li has held positions at Stanford University, and his research has been recognized through various awards and honors. He continues to be an active researcher in algebraic geometry and related fields.