Research group in Algebra

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
Luca Casarin, Sabino Di Trani

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.
Discrete mathematics and Theoretical Computer Science (D'Alessandro): finite automata and their generalizations; semi-linear sets and algebraic languages; exact description of vector partition functions and applications to formal languages and discrete structures.
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 (Papi): 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): conformal embeddings of affine vertex algebras, 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