Research group in

geometry

algebra

& their applications

Group members

Full professors

Associate professors

Assistant professors

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Main research topics of the group are: algebra and theoretical computer science, commutative and computational algebra, complex and hypercomplex analysis, algebraic and enumerative combinatorics, algebraic geometry, geometric analysis, differential geometry, discrete mathematics, graph theory, representation theory.

Applications range in various directions including image reconstruction and recognition, discrete and geometric tomography, code theory, signal theory, neurosciences, topological data analysis.

Complex and Hypercomplex Analysis Team: Pavel Gumenyuk Stefano Pinton Irene Sabadini

Algebraic Geometry and Commutative Algebra Team: Alexandru Constantinescu Alessio D'Alì Davide Frapporti Andreas Hochenegger Paolo Lella Roberto Notari Alessio Sammartano Enrico Schlesinger Sara Torelli Michele Graffeo

Geometric Analysis and Differential Geometry Team: Giovanni Catino Alberto Roncoroni

Algebra and Theoretical Computer Science Team: Emanuele Rodaro

Discrete Geometry and Combinatorics Team: Paolo Dulio

Homological Algebra and Representation Theory Team: Andreas Hochenegger Pierluigi Möseneder Frajria

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Research projects

Zero dimensional algebras and their moduli spaces GNSAGA 2026 Start date: April 2026 - End date: March 2027 Team: Michele Graffeo (PI)

Between groups and graphs GNSAGA 2026 Principal Investigator: M. Cavaleri (UniCusano) Start date: April 2026 - End date: March 2027 Team: Emanuele Rodaro (local coordinator)

Surfaces of General Type and their Geometry GNSAGA 2026 Start date: April 2026 - End date: March 2027 Team: Davide Frapporti (PI) Enrico Schlesinger

Unirationality, Hilbert schemes, and singularities PRIN 2022 Principal Investigator: Giovanni Staglianò (Unict) Start date: February 2025 Team: Alessio Sammartano (local coordinator) Alessio D'Alì Andreas Hochenegger Paolo Lella Roberto Notari Enrico Schlesinger Paolo Sentinelli

Differential-Geometric Aspects of manifolds via Global Analysis PRIN 2022 Principal Investigator: Giuseppe Pipoli (UNIAQ) Start date: September 2023 - End date: September 2025 Team: Giovanni Catino (local coordinator) Alberto Roncoroni

Squarefree Gröbner degenerations, special varieties and related topics PRIN 2020 Principal Investigator: Matteo Varbaro (Unige) Start date: January 2022 - End date: March 2025 Team: Paolo Lella (local coordinator) Roberto Notari Alessio Sammartano Enrico Schlesinger Paolo Dulio Paolo Sentinelli Alessio D'Alì

Canonical structures on manifolds GNSAGA 2024 Start date: March 2024 - End date: March 2025 Team: Alberto Roncoroni (PI) Giovanni Catino

New theoretical perspectives via Gröbner bases GNSAGA 2023 Start date: March 2023 - End date: March 2024 Team: Alessio D'Alì (PI) Alessio Sammartano

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May 4, 2026 - May 6, 2026 Mathematics Department, Politecnico di Milano

Meeting on Tomography and Applications - Discrete Tomography, Neuroscience and Image Reconstruction 20th Edition

June 15, 2026 - June 19, 2026 Palazzone di Cortona, Cortona (AR), Italy

Geometry of Severi varieties and Hurwitz spaces

June 29, 2026 - July 3, 2026 Politecnico di Milano

Commutative Algebra and Algebraic Geometry in Milan

September 3, 2026 - August 31, 2026 Università degli Studi di Padova

Late Summer Conference in Geometric Analysis

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See the pages dedicated to seminars and workshops&conferences with the complete list also of past activities.