Organisation/Company Università degli Studi di Verona Le seguenti informazioni forniscono una panoramica delle competenze, delle qualità e delle qualifiche necessarie per questo ruolo. Research Field Mathematics Researcher Profile Recognised Researcher (R2) Leading Researcher (R4) First Stage Researcher (R1) Established Researcher (R3) Application Deadline 5 Aug 2026 - 13:00 (UTC) Country Italy Type of Contract To be defined Job Status Not Applicable Is the job funded through the EU Research Framework Programme? Not funded by a EU programme Is the Job related to staff position within a Research Infrastructure? No Offer Description The project proposes a novel approach that takes into account the interplay between small and large objects and is based on recent advances in silting theory and localization theory. The representation type of an algebra appears to be related with properties of decompositions and localizations of the module category and its derived category, notably torsion pairs, t-structures, and ring epimorphisms. We aim to uncover and solidify these connections.



To this end, we plan to develop a theory of mutation at summands of cosilting objects and to investigate multiple interactions, e.g. with the geometric concept of stability, with a topological space originating in model theory called the Ziegler spectrum, and with Sylvester rank functions. This is complemented by concrete case studies aiming at classification results over specific classes of algebras. The research combines homological, categorical and combinatorial techniques with tools from mathematical logic and algebraic geometry. For admission to the selection process referred to in Art. 1, potential candidates must fulfil the following requirements: a) PhD in Mathematics; b) Possession of a scientific‐disciplinary curriculum suitable for carrying out the research activity envisaged in this announcement; c) Knowledge of the following foreign language: English; d) Other requirements: documen

📌 Ipè/2026 - Large views of small phenomena: decompositions, localizations, and representation type (Italia)
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