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)
- Mutation and the Gabriel spectrumpreprint, 2025 arXiv
- Cotilting duality for Artinian ringspreprint, 2025 arXiv
- Mutation and torsion pairsAlgebra and Number Theory (to appear), 2025 arXiv
- Mutations and derived equivalences for commutative noetherian ringsProceedings of ICRA 2022 (to appear), 2025 arXiv
- Periodic sequences, binomials modulo a prime power, and a math/music applicationAdvances in Applied Mathematics 162, 2025 DOI arXiv
- Torsion-simple objects in abelian categoriesJournal of pure and applied algebra 229(1), 2025 DOI arXiv
- Endomorphism algebras of silting complexespreprint, 2024 arXiv
- A smooth compactification of spaces of stability conditions: the case of the An-quiverForum of Mathematics, Sigma 12, 2024 DOI arXiv
- Approximation of graded bialgebraspreprint, 2024 arXiv
- Fishing for complementspreprint, 2024 arXiv
- Highest weight categories and stability conditionspreprint, 2024 arXiv
- Indecomposable Injectives over the Jacobson AlgebraJournal of Algebra and Its Applications, 2024 DOI arXiv
- Injectives over Leavitt path algebras of graphs with disjoint cyclesJournal of pure and applied algebra 228(7), 2024 DOI arXiv
- On the first relative Hochschild cohomology and contracted fundamental grouppreprint, 2024 arXiv
- Quadratic differentials as stability conditions: collapsing subsurfacesJournal für die reine und angewandte Mathematik 810, 2024 DOI arXiv
- Simples in a cotilting heartMathematische Zeitschrift 307(12), 2024 DOI arXiv
- Spaces of stability conditions in representation theoryProceedings Volume of the 20th ICRA (to appear), 2024 arXiv
- The Hochschild cohomology groups under gluing arrowsCommunications in Algebra 52(9), 2024 DOI arXiv
- Torsion pairs via the Ziegler spectrumpreprint, 2024 arXiv
- Verdier quotients of Calabi-Yau categories from quivers with potentialpreprint, 2024 arXiv
- A note on the ring of relative constructible functionspreprint, 2023 arXiv
- Bounding The Orlov Spectrum For A Completion Of Discrete Cluster Categoriespreprint, 2023 arXiv
- Maximal Tori in HH1 and the Fundamental GroupInternational Mathematics Research Notices 2023(7), 2023 DOI arXiv
- On the Lie algebra structure of integrable derivationsBulletin of the London Mathematical Society 55(6), 2023 DOI arXiv
- Relative regular Riemann-Hilbert correspondence IICompositio Mathematica 159(7), 2023 DOI
- Singular equivalences to locally coherent hearts of commutative noetherian ringsJournal of algebra 632, 2023 DOI arXiv
- Wall And Chamber Structure For A Special Biserial Algebra Coming From Perverse Sheaves on Pnpreprint, 2023 arXiv