Published in arXiv, 2026
We study the moduli stacks of real vector bundles of fixed rank and degree on a type I real algebraic curve and determine its mod 2 cohomology algebra in terms of characteristic classes.
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Short talk about my research project done during the SinG School in Geometry - Irreducibile Holomorphic Symplectic Manifolds: Group Actions and Moduli Spaces.
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Short talk about my research project done during the School on Deformation Theory IV.
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Seminar done for the Geometry and Group Theory seminar cycle for the same name group.
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We explore the concept of maximality for a moduli stack, giving a new definition for this property. This definition is given by imposing conditions on the Borel fibration for the Galois action, mimicking the classical construction for real varieties. It is applied in the context of the moduli stack of vector bundles over a Riemann surface equipped with an antiholomorphic involution induced by the Galois action. We prove that the moduli stack of vector bundles of fixed rank and degree is maximal if and only if the Riemann surface is maximal in the classical sense. This research was motivated by the classical result for the coarse moduli space of vector bundles, and we link back to it when the rank and degree are coprime.
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Seminar done in the scope of Mathematical Colloquium organized by University of Trento as preparation for the undergraduate and graduate students to higher level seminar given by important speaker.
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We explore the concept of maximality for a moduli stack, giving a new definition for this property. This definition is given by imposing conditions on the Borel fibration for the Galois action, mimicking the classical construction for real varieties. It is applied in the context of the moduli stack of vector bundles over a Riemann surface equipped with an antiholomorphic involution induced by the Galois action. We prove that the moduli stack of vector bundles of fixed rank and degree is maximal if and only if the Riemann surface is maximal in the classical sense. This research was motivated by the classical result for the coarse moduli space of vector bundles, and we link back to it when the rank and degree are coprime.
Tutor for Undergraduate course, Università degli Studi di Trento, Department of Mathematics, 2024
I was the tutor for the course for a total of 14 hours of frontal lessons.
Tutor for Undergraduate course, Università degli Studi di Trento, Department of Mathematics, 2024
I was the tutor for the course for a total of 12 hours of frontal lessons.
Tutor for Undergraduate course, Università degli Studi di Trento, Department of Mathematics, 2025
I was the tutor for the course for a total of 14 hours of frontal lessons.
Tutor for Undergraduate course, Università degli Studi di Trento, Department of Mathematics, 2026
I was the tutor for the course for a total of 14 hours of frontal lessons.