Academic staff
Paolo Bravi, Flavio D'Alessandro, Alberto De Sole, Claudia Malvenuto, Paolo Papi, Federico Pellarin, Guido Pezzini, Ernesto Spinelli, Daniele Valeri
Emeriti Professors
Corrado De Concini, Claudio Procesi
Post-docs and graduate students
Lucia Bagnoli
Research areas
Arithmetic of function fields, Drinfeld modules, zeta and L-series (Pellarin).
Combinatorics (Malvenuto): algebraic combinatorics, extremal combinatorics of permutations, Hopf Algebras of combinatorial structures, symmetric and quasi-symmetric functions, graph theory.
Invariant theory and algebraic groups (Bravi, Papi, Pezzini): algebraic varieties with an algebraic group action, covariants in exterior algebras of simple Lie algebras, spherical varieties.
Lie Theory (De Sole, Papi, Valeri ): algebraic Dirac operators, combinatorics of finite and affine root systems, Lie superalgebras.
PI Theory (Spinelli): codimension growth, minimal varieties, Lie structure of group algebras.
Vertex algebras (De Sole, Papi, Valeri): conformal embeddings of affine vertex algebras, Lie pseudoalgebras, orbifold vertex operator algebras, structure of classical (finite and affine) W-algebras, Dirac reduction for Poisson vertex algebras, Poisson structures and applications to the theory of integrable systems, tau-functions for integrable systems.