معرفی
David Carchedi is an Assistant Professor of Mathematics at George Mason University (GMU). He earned his PhD in 2011 from Utrecht University under Ieke Moerdijk, with a thesis on "Categorical Properties of Topological and Differentiable Stacks." His research focuses on applications of higher category theory to topology and differential/algebraic geometry, particularly derived geometry and field theory.
- Education: PhD in Mathematics (Utrecht University, 2011)
- Positions: Sabbatical at Max Planck Institute (2018-2019); Postdoc at Max Planck Institute (2011-2014) and University of British Columbia (2014-2015)
His research includes developing derived differential geometry for field theory (supported by an NSF grant with Owen Gwilliam), exploring étale and motivic homotopy theory, and studying log geometry with collaborators Sarah Scherotzke, Nicolo Sibilla, and Mattia Talpo. He co-organizes the Topology, Arithmetic, and Dynamics Seminar at GMU and mentors the university’s Association for Women in Mathematics chapter.
His recent publications span derived geometry, étale stacks, log schemes, and superalgebras. These works emphasize categorical frameworks, homotopy theory, and geometric applications. He has also contributed to sheaf theory for étale stacks and homological algebra in supergeometry.
Notable collaborations include D. Roytenberg (derived manifolds), Scherotzke/Sibilla/Talpo (log geometry), and Elmanto (étale realizations). He has taught courses on homotopy theory, category theory, algebraic topology, and calculus at GMU and other institutions.
