معرفی
Dennis Borisov is an Assistant Professor of Mathematics at the University of Windsor, Canada. His research focuses on derived algebraic geometry, moduli spaces, and Calabi-Yau manifolds, with significant contributions to shifted symplectic structures, virtual fundamental classes, and sheaf theory. He collaborates with leading mathematicians such as Ludmil Katzarkov, Artan Sheshmani, and Dominic Joyce.
Key research interests include derived stacks, differential graded manifolds, and applications of homotopy theory to geometric problems. His work bridges algebraic geometry and mathematical physics, particularly in the context of Calabi-Yau four-folds and Donaldson-Thomas invariants.
Notable contributions include studies on global shifted potentials for moduli stacks of sheaves and the development of frameworks for strictification and gluing techniques in derived schemes. His publications span top-tier journals such as Advances in Mathematics and Geometry and Topology.
- Collaborations: Ludmil Katzarkov, Artan Sheshmani, Dominic Joyce
- Key techniques: Derived algebraic geometry, homotopy invariants, moduli theory
No academic awards or grants are explicitly listed in the provided materials.
