معرفی
Emanuele Macrì is a Professor at the Laboratoire de mathématiques d'Orsay, Université Paris-Saclay, specializing in algebraic geometry with a focus on derived categories, stability conditions, and moduli spaces. He holds editorial roles at Mathematische Zeitschrift, International Mathematics Research Notices, and Selecta Mathematica. His research explores hyperkähler manifolds, Fano varieties, and wall-crossing phenomena, contributing to foundational advancements in geometric stability theory.
Education & Positions
Current roles include:
- Professor, Université Paris-Saclay (since 2024)
- Member of the Orsay Mathematics Laboratory (LMO)
Research Interests
Key areas of study encompass:
- Derived categories of coherent sheaves and their stability conditions
- Moduli spaces of sheaves on K3 surfaces and hyperkähler varieties
- Applications of wall-crossing techniques to classical algebraic geometry problems
- Geometry of Fano varieties and hyperkähler manifolds
Publications & Trends
Recent work emphasizes:
- Advances in understanding hyperkähler manifolds via stability conditions (e.g., Mukai models of Fano varieties)
- Classification of hyperkähler fourfolds using Riemann-Roch polynomials
- Investigations into antisymplectic involutions and their geometric implications
- Development of stability frameworks for Kuznetsov components in derived categories
Awards & Recognition
- Plenary speaker at the 2025 Summer Research Institute in Algebraic Geometry
- Member of the Accademia dei Lincei (2024)
- Medaglia dei XL per la matematica (2023)
- Invited speaker at the International Congress of Mathematicians 2022
Advising & Grants
Macrì has advised numerous PhD students and postdocs, including:
- Current students: Matteo Verni, Vanja Zuliani
- Notable past students: Luigi Martinelli, Benjamin Schmidt
He leads the ERC Synergy Grant HyperK (2020–2026), exploring hyperkähler manifolds and related geometries.
Labs & Collaborations
Active in organizing workshops and seminars, including:
- HyperK workshop series (2020–2025)
- Reading seminars on hyperkähler geometry and moduli spaces
- Working groups on P=W conjecture and D-modules
