Higher categorical and stability structures in algebraic geometry (HighCaSt)

Hamiltonian Dynamics, Normal forms and Water Waves (HamDyWWa)

Piano di Sostegno alla Ricerca 2015-2017 - Linea 2 "Dotazione annuale per attività istituzionali" (anno 2021)

Advanced polyhedral discretisations of heterogeneous PDEs for multiphysics problems

Hamiltonian and dispersive PDE's

Dalla geometria birazionale alle sue applicazioni: Minimal Model Program, spazi di moduli, e foliazioni algebriche. From birational geometry to its applications: Minimal Model Program, moduli spaces, and algebraic foliations.

Curves, Ricci flat Varieties and their Interactions

The Mathematics of Interacting Fermions (FermiMath)

Assegnazione Dipartimenti di Eccellenza 2023-2027 - Dipartimento di MATEMATICA 'FEDERIGO ENRIQUES'

Motivic Integral p-adic cohomologies (MIPAC)

Piano di Sostegno alla Ricerca 2015-2017 - Linea 2 "Dotazione annuale per attività istituzionali" (anno 2022)

Triangulated categories and their applications, chiefly to algebraic geometry (TriCatApp)

Partial differential equations and related geometric-functional inequalities.

Entropy Martingale Optimal Transport and McKean-Vlasov equations

Logical methods in combinatorics

STILE: Sustainable Tomographic Imaging with Learning and rEgularization

Interacting Quantum Systems: Topological Phenomena and Effective Theories

Differential-geometric aspects of manifolds via Global Analysis

Symplectic varieties: their interplay with Fano manifolds and derived categories

Computational modeling of the human heart: from efficient numerical solvers to cardiac digital twins

Mathematical Interacting Quantum Fields (MaIQuFi)

The arithmetic of motives and L-functions

Moduli spaces and special varieties

Geometric Measure Theory: Structure of Singular Measures, Regularity Theory and Applications in the Calculus of Variations