Dingyu Yang

Dingyu Yang is a Researcher at the Institute of Mathematics, Humboldt University, affiliated with the Faculty of Mathematics and Natural Sciences. His work spans Differential Geometry, Symplectic Geometry, and Algebraic Topology, with a focus on advanced mathematical structures like higher Massey products, Fukaya categories, and Seiberg-Witten theory. He has taught courses on Higher Structures in Geometry and Moduli Spaces (WS 2019/2020) and Seiberg-Witten Floer Homology (WS 2020/2021), both at the graduate level. His research intersects with topics such as virtual fundamental classes, gauge theory, and noncommutative geometry, with applications to low-dimensional topology and mirror symmetry.

Teaching Activities:

• Higher Structures in Geometry and Moduli Spaces (4h lecture + 2h exercise, HU Berlin, 2019/2020)
• Seiberg-Witten Floer Homology (2h lecture + 1h exercise, HU Berlin, 2020/2021)

Research Themes: He explores infinity-algebraic structures in geometric PDEs, moduli spaces, and Floer theory. His work connects symplectic field theory, string topology, and derived geometry, with an emphasis on algebraic frameworks like A-infinity, L-infinity, and BV-algebras.

Technical Expertise: His contributions involve Kuranishi structures, pseudo-isotopies, and transversality techniques for moduli spaces, alongside homotopy algebraic systems and their topological implications.