Lorenzo Mantovani

Research Interests

• Motivic homotopy theory
• Algebraic K-theory
• Algebraic cycles and motivic cohomology
• Chromatic homotopy theory

Work in Progress

• On Chow-Witt Rings of the classifying spaces of orthogonal groups, with T. M. Nguyen and M. Wendt.
• On mtives of stacks, with an application to $\mathcal M_{1,1}$. With A. Kresch and A. di Lorenzo.

Preprints

• Equivariant Chow-Witt groups and moduli stacks of elliptic curves. With A. di Lorenzo, Preprint, July 2021, arXiv version, pdf.
• Localizations and completions in motivic homotopy theory. Preprint, October 2018, pdf.
• Localizations and completions of stable $\infty$-categories. Preprint, May 2021, pdf.