Master Thesis Projects

Are you a Master student in Padova or Verona looking for a thesis project in Homological Algebra and Representation Theory? Browse the list of available topics below to see if you find something you may like. Notice that:

• You may choose any project, independently of the University of the person proposing it;
• If you already have your own proposal, go ahead and contact someone from the group (see people).

If you find a project you would like to work on, contact the person to discuss about it.

Available projects

• \(\tau\)-tilting theory for species (Daniel Labardini Fragoso)
  
• Representations of Leavitt path algebras (Francesca Mantese)
  
• The BBG category \(\mathcal{O}\) (Alessio Cipriani)
  
• Categories of perverse sheaves (Alessio Cipriani)
  
• Bricks (Lidia Angeleri Hügel)
  Area: Representation theory of algebras. Homological algebra..
• \(n\)-quasi-abelian categories and their applications (Luisa Fiorot)
  
• \(D\)-modules and the Riemann-Hilbert correspondence (Luisa Fiorot)
  
• Quasi-hereditary algebras (Georgios Dalezios)
  Area: homological algebra, quiver representations.
• Cotorsion pairs and model categories (Georgios Dalezios)
  Area: homological and homotopical algebra, triangulated and abelian categories.
• Epimorphisms in the category of commutative rings (Jorge Vitória)
  Area: commutative algebra, homological algebra, category theory.
• Completions of triangulated categories (Jorge Vitória)
  Area: homological algebra, category theory.
• Lattice constructions for path algebras over commutative rings (Jorge Vitória)
  Area: representations of quivers, commutative algebra, category theory, homological algebra.
• Representations of Nakayama algebras (Jorge Vitória)
  Area: representations of quivers, homological algebra.
• The lattice of ring epimorphisms (Lidia Angeleri Hügel)
  Area: homological algebra, representation theory of algebras.
• Localisation in Grothendieck categories (Lidia Angeleri Hügel)
  Area: category theory, representation theory of algebras.
• The Ziegler spectrum of abelian and triangulated categories (Rosanna Laking)
  Area: Triangulated and abelian categories, model theory of modules, categorical localisation.
• Categories from tilings of surfaces (Anna Barbieri)
  Area: module categories and representation theory of algebras, homological algebra, combinatorics.
• Stability conditions on abelian or triangulated categories (Anna Barbieri)
  Area: triangulated and/or abelian categories, homological algebra.
• Gentle algebras and oriented surfaces with boundary (Rosanna Laking)
  Area: homological algebra, triangulated and abelian categories, algebraic combinatorics.

Past projects

Here is a list of past thesis projects.

• Viola Conte Two-term silting complexes over gentle algebras (supervisor Rosanna Laking)
  
• Simone Pizzirani Endomorphism algebras of silting complexes (supervisor Riccardo Colpi, cosupervisor Sergio Pavon )