Research

The Malga group works on various topics linked to the representation theory of associative algebras. These range from categorical and homological aspects to combinatorial and geometric ones. They are applied in the study of modules over large classes of rings, among which finite-dimensional algebras over field, Leavitt path algebras, cluster algebras and commutative noetherian rings.

Latest publications and preprints (since 2023)

• Lukas Bonfert Alessio Cipriani Serre functors and ℙ-objects for perverse sheaves on ℙⁿpreprint, 2025 arXiv
• Christof Geiß Daniel Labardini Fragoso On the resolution of kinks of curves on punctured surfacesTo appear in Algebraic & Geometric Topology 2025, 2025 arXiv
• Enrico Sabatini Telescope conjecture for t-structures over noetherian path algebraspreprint, 2025 arXiv
• Michal Hrbek Sergio Pavon Jorge Vitória Mutation and the Gabriel spectrumpreprint, 2025 arXiv
• Lidia Angeleri Hügel Marcelo Lanzilotta Jifen Liu Sonia Trepode Endomorphism algebras of silting complexesJournal of Algebra, 2025 DOI arXiv
• Francesca Mantese Lorenzo Martini Cotilting duality for Artinian ringspreprint, 2025 arXiv
• Lidia Angeleri Hügel David Pauksztello Jorge Vitória Fishing for complementsto appear in Nagoya Mathematical Journal, 2025 arXiv
• Lidia Angeleri Hügel Rosie Laking Jan Šťovíček Jorge Vitória Mutation and torsion pairsAlgebra and Number Theory (to appear), 2025 arXiv
• Jorge Vitória Mutations and derived equivalences for commutative noetherian ringsProceedings of ICRA 2022 (to appear), 2025 arXiv
• Luisa Fiorot Riccardo Gilblas Alberto Tonolo Periodic sequences, binomials modulo a prime power, and a math/music applicationAdvances in Applied Mathematics 162, 2025 DOI arXiv
• Sergio Pavon Torsion-simple objects in abelian categoriesJournal of pure and applied algebra 229(1), 2025 DOI arXiv
• Daniel Labardini Fragoso Bea de Laporte Landau-Ginzburg potentials via projective representationsJournal of Combinatorial Algebra, 2024 DOI arXiv
• Christof Geiß Daniel Labardini Fragoso Jan Schröer Semicontinuous maps on module varietiesJournal für die reine und angewandte Mathematik (Crelles Journal) 2024(816), 2024, pp. 1-17 DOI arXiv
• Daniel Labardini Fragoso Lang Mou Gentle Algebras Arising from Surfaces with Orbifold Points of Order 3, Part I: Scattering DiagramsAlgebras and Representation Theory 27, 2024, pp. 679-722 DOI arXiv
• Davide Dal Martello Okamoto's symmetry on the representation space of the sixth Painlevé equationpreprint, 2024 arXiv
• Davide Dal Martello Marta Mazzocco Generalized double affine Hecke algebras, their representations, and higher Teichmüller theoryAdvances in Mathematics, 2024 DOI arXiv
• Anna Barbieri Martin Möller Jeonghoon So A smooth compactification of spaces of stability conditions: the case of the A_n-quiverForum of Mathematics, Sigma 12, 2024 DOI arXiv
• Giovanna Carnovale Francesco Esposito Lleonard Rubio y Degrassi Approximation of graded bialgebraspreprint, 2024 arXiv
• Alessio Cipriani Jon Woolf Highest weight categories and stability conditionspreprint, 2024 arXiv
• Riccardo Colpi Francesca Mantese Alberto Tonolo Indecomposable Injectives over the Jacobson AlgebraJournal of Algebra and Its Applications, 2024 DOI arXiv
• Gene Abrams Francesca Mantese Alberto Tonolo Injectives over Leavitt path algebras of graphs with disjoint cyclesJournal of pure and applied algebra 228(7), 2024 DOI arXiv
• Jonathan Lindell Lleonard Rubio y Degrassi On the first relative Hochschild cohomology and contracted fundamental grouppreprint, 2024 arXiv
• Anna Barbieri Martin Möller Yu Qiu Jeonghoon So Quadratic differentials as stability conditions: collapsing subsurfacesJournal für die reine und angewandte Mathematik 810, 2024 DOI arXiv
• Lidia Angeleri Hügel Ivo Herzog Rosie Laking Simples in a cotilting heartMathematische Zeitschrift 307(12), 2024 DOI arXiv
• Anna Barbieri Spaces of stability conditions in representation theoryProceedings Volume of the 20th ICRA (to appear), 2024 arXiv
• Yuming Liu Lleonard Rubio y Degrassi Can Wen The Hochschild cohomology groups under gluing arrowsCommunications in Algebra 52(9), 2024 DOI arXiv
• Lidia Angeleri Hügel Rosie Laking Francesco Sentieri Torsion pairs via the Ziegler spectrumpreprint, 2024 arXiv
• Anna Barbieri Yu Qiu Verdier quotients of Calabi-Yau categories from quivers with potentialpreprint, 2024 arXiv
• Raphael Bennett-Tennenhaus Daniel Labardini Fragoso Semilinear clannish algebras arising from surfaces with orbifold pointsPreprint, 2023 arXiv
• Luisa Fiorot Teresa Monteiro Fernandes A note on the ring of relative constructible functionspreprint, 2023 arXiv
• Dave Murphy Bounding The Orlov Spectrum For A Completion Of Discrete Cluster Categoriespreprint, 2023 arXiv
• Benjamin Briggs Lleonard Rubio y Degrassi Maximal Tori in HH₁ and the Fundamental GroupInternational Mathematics Research Notices 2023(7), 2023 DOI arXiv
• Benjamin Briggs Lleonard Rubio y Degrassi On the Lie algebra structure of integrable derivationsBulletin of the London Mathematical Society 55(6), 2023 DOI arXiv
• Luisa Fiorot Teresa Monteiro Fernandes Claude Sabbah Relative regular Riemann-Hilbert correspondence IICompositio Mathematica 159(7), 2023 DOI
• Michal Hrbek Sergio Pavon Singular equivalences to locally coherent hearts of commutative noetherian ringsJournal of algebra 632, 2023 DOI arXiv
• Alessio Cipriani Martina Lanini Wall And Chamber Structure For A Special Biserial Algebra Coming From Perverse Sheaves on Pⁿpreprint, 2023 arXiv