angeleri
univrit
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curriculum - english
(pdf, en, 165 KB, 07/01/21)
curriculum - italiano
(pdf, en, 161 KB, 07/01/21)
La sua attività di ricerca si svolge in teoria delle rappresentazioni di algebre. Negli ultimi anni si è occupata di teoria tilting, una tecnica omologica che permette di definire equivalenze fra categorie matematiche distinte e che viene impiegata in vari ambiti, dalla teoria di Lie e la teoria cluster alla geometria e alla topologia algebrica e alla fisica teorica. Autrice di più di cinquanta pubblicazioni su riviste internazionali, attualmente è membro del comitato editoriale di Journal of Pure and Applied Algebra, responsabile scientifico di un progetto europeo, di un progetto della Fondazione Cariverona e di un'unità locale PRIN. Dal 2013 al 2019 è stata Delegata del Rettore per l'Internazionalizzazione dell'Università di Verona.
Her research activities are located in representation theory of algebras. In recent years, she has been working in tilting theory, a homological technique allowing to define equivalences between different mathematical categories which is employed in many areas, ranging from Lie theory and cluster theory to algebraic geometry and topology and theoretical physics. Author of more than fifty publications on international journals, she is currently member of the Editorial Board of Journal of Pure and Applied Algebra, scientific coordinator of a European project, a project of Fondazione Cariverona, and a local unit PRIN. From 2013 to 2019 she was Vice-Rector for International Relations of the University of Verona.
Modules running in the period selected: 55.
Click on the module to see the timetable and course details.
| Topic | Description | Research area |
|---|---|---|
| Homological algebra | Tilting theory. Homological Conjectures. Localization in abelian and triangulated categories. |
Discrete and computational mathematics
Category theory; homological algebra |
| Rings and algebras arising under various constructions | Localization of rings. Ring epimorphisms. Endomorphism rings of tilting and cotilting modules. |
Discrete and computational mathematics
Associative rings and algebras |
| Abelian categories | Torsion pairs and cotorsion pairs in abelian categories. Approximations in abelian categories. Heart of t-structures associated to torsion pairs. |
Discrete and computational mathematics
Category theory; homological algebra |
| Modules, bimodules and ideals | Indecomposable decompositions. Approximations. Purity. Endoproperties of modules. |
Discrete and computational mathematics
Associative rings and algebras |
| Representation theory of rings and algebras | Infinite dimensional modules over finite dimensional algebras. Classification of tilting objects in module categories and in associated geometric categories. |
Discrete and computational mathematics
Associative rings and algebras |
