معرفی
Marc Levine is a Professor at the Faculty of Mathematics, University of Duisburg-Essen, leading the ERC-funded project QUADAG (grant agreement No 832833) under Horizon 2020. His research focuses on algebraic K-theory, motivic homotopy theory, and enumerative geometry with quadratic forms. He has mentored numerous postdocs and PhD students including Dhyan Aranha, Sabrina Pauli, and Pietro Gigli, while collaborating on topics like motivic fundamental classes, Atiyah-Bott localization, and quadratic refinement of classical invariants.
- Research interests: Motives, motivic cohomology, algebraic cobordism, enumerative geometry with quadratic forms
- Key contributions: Quadratic Euler characteristics, virtual fundamental classes, Atiyah-Bott localization for Witt cohomology
- Active in organizing the Motives Seminar and advancing motivic homotopy theory applications
The ERC project QUADAG develops purely algebraic methods for enumerative geometry over arbitrary fields, revealing arithmetic content through Grothendieck-Witt rings. Recent publications demonstrate quadratic refinements of Gromov-Witten theory, conductor formulas, and Euler classes, with applications to hypersurfaces and Hilbert schemes.
- Scientific Awards: European Research Council (ERC) grant
- Current Collaborations: Jesse Kass, Jacob Solomon, Kirsten Wickelgren
- Postdocs: Dhyan Aranha, Andrés Jaramillo-Puentes, Sabrina Pauli, Herman Rohrbach
- PhD Students: Ran Azouri, Pietro Gigli, Alessandro D'Angelo
