Yunfeng Jiang

Yunfeng Jiang is a Professor of Mathematics at the University of Kansas, affiliated with the Department of Mathematics in the College of Liberal Arts & Sciences. His research focuses on algebraic geometry, with a particular emphasis on moduli spaces of stable maps, sheaves, and their enumerative invariants such as Gromov-Witten and Donaldson-Thomas invariants. His work intersects theoretical physics, including string theory and gauge theory, exploring connections between algebraic structures and physical theories.

Recent research has addressed smoothing of surface singularities, equivariant geometry, and the interplay between birational geometry and enumerative invariants. He has contributed to the study of moduli spaces of general type surfaces, Vafa-Witten invariants, and S-duality conjectures on K3 surfaces. His work often involves advanced techniques like virtual fundamental classes and obstruction theories.

Jiang has taught extensively at KU, including courses on linear algebra, calculus, algebraic topology, and specialized topics in algebraic geometry. His research is supported by the NSF (DMS-2401484) and has been disseminated through over 50 peer-reviewed publications in top journals like *Mathematische Annalen*, *Advances in Mathematics*, and *Pure and Applied Mathematics Quarterly*.

His research trends emphasize geometric structures in higher dimensions, moduli problems, and applications to physics, with notable contributions to the quantum cohomology of moduli spaces and the study of root stacks in algebraic geometry.