Jun Li

Jun Li is an Assistant Professor in the Department of Mathematics at the University of Dayton, within the College of Arts and Sciences. He is a full-time faculty member actively engaged in research in symplectic geometry and topology, with a focus on symplectomorphism groups, rational 4-manifolds, and related structures in geometric topology.

His research interests span Symplectic Geometry, Geometric Topology, and Mathematical Physics, particularly exploring the stability and structure of symplectomorphism groups on rational and ruled surfaces. His work involves deep analysis of symplectic cones, almost complex structures, and the role of pseudoholomorphic curves in 4-dimensional manifolds. He also investigates symplectic inflation, ball-swapping symmetries, and the classification of symplectic forms via tamed complex structures.

The recent publications reveal a consistent trajectory in understanding the topology of symplectomorphism groups and the geometry of symplectic 4-manifolds, with applications to mapping class groups and Hamiltonian dynamics. His earlier work includes contributions to numerical methods in symplectic integration, demonstrating a broad engagement with both pure and applied aspects of symplectic mathematics.

Scientific Awards:

• No scientific awards explicitly mentioned in the provided texts.

Advising and Grants:
While no current students or grant funding are listed, Jun Li’s active publication record suggests ongoing research mentorship and potential grant-supported projects in geometric topology. As a faculty member in a research-active department, he likely participates in collaborative projects and student supervision, particularly at the graduate level.

Labs and Research Teams:
No specific lab or research team is mentioned in the provided materials. However, his research aligns with broader efforts in geometric analysis and topology, potentially involving collaborations within the university or through national and international mathematical networks.