In most of my research, I focus on the study of surfaces of general type, which has been the central topic of my PhD thesis.
Specifically, I construct surfaces such as abelian coverings or product-quotient surfaces to obtain new relevant examples for still-open questions in Algebraic Geometry.
In particular, I have also been investigating various open questions related to the canonical map of surfaces of general type, by examining the canonical map of abelian coverings and product-quotient surfaces.
Additionally, I seek to classify such surfaces for small values of certain invariants, such as the Euler characteristic and the self-intersection of a canonical divisor.
Recently, I am studying the geometry of moduli spaces of coherent sheaves on smooth algebriac surfaces, with a particular focus to those that are product of curves.
Research Positions
Research Fellow at the University of Milano-Bicocca, Department of Mathematics and Applications.
Mar 2024 - Present,
Research Project: On the classification of regular product-quotient surfaces of low genus and their canonical map.
Supervisor: Prof. Dr. Sonia Brivio
Research collaboration at the University of Trento, Department of Mathematics.
Nov 2023 - Dec 2023
Reserach Project: Classificazione di superfici prodotto-quoziente di genere basso.
Education
PhD in Mathematics, University of Trento , Italy, and University of Bayreuth, Germany (cotutelle de thèse), 2019-2023.
PhD Thesis title: On the degree of the canonical map of surfaces of general type.
Supervisors: Prof. Dr. Ingrid Bauer and Prof. Dr. Roberto Pignatelli
MSc in Mathematics, Curriculum Advanced Mathematics, University of Trento, 2019.
MSc Thesis title: Classification of \(\left(\mathbb Z/2\mathbb Z\right)^k\)-abelian coverings of \( \mathbb P^2\) with geometric genus equal to \(3\) and canonical linear system base point free.
Supervisor: Prof. Dr. Roberto Pignatelli
You can find the latest upgrade of this work here: Smooth k-double covers of the plane of geometric genus 3
BSc in Mathematics, University of L'Aquila, 2017.
BScThesis title: Introduzione alla rappresentazioni di gruppi di matrici: il caso di \(SO(3,\mathbb R)\)-Introduction to representations of groups of matrices: the case of \(SO(3,\mathbb R)\).
Supervisor: Prof. Dr. Lucio Bedulli
For further information:
Curriculum Vitae. Last update: 19 May 2024
Research Projects
Classification Problems in Algebraic Geometry: Lefschetz Properties and Moduli Spaces-CUP_E53C22001930001
13 March 2023 - 13 March 2024
Coordinator: Filippo Favale
Funded by: GNSAGA - INdAM
Conferences and Seminars
Winter Workshop on Algebraic Geometry.
Pavia, Italy, 26 Febraury 2024 - 28 February 2024
Talk: Explicit description of coverings of the projective line from spherical systems of generators.
Aspects of Algebraic Geometry.
Cetraro, Italy, 18 September 2023 - 22 September 2023
Talk: New examples of surfaces of general type with a high degree of the canonical map.
Algebraic Geometry in Roma Tre. A conference on the occasion of Sandro Verra's 70(+2)th birthday.
Rome, Italy, 14 July 2022 - 17 July 2022
Poster Presentation: Surfaces with canonical maps of degree 10, 11 and 14.
Joint presentation with Christian Gleissner.
First UMI meeting of Ph.D. students.
Padua, Italy, 26 May 2022 - 27 May 2022
Talk: Surfaces with canonical map of high degree.
Invited talks
University of Milano-Bicocca - Department of Mathematics and Applications, Italy
13 May 2024
Title: On the classification of product-quotinet surfaces with \(q=0\), \(p_g=3\) and their canonical map.
University of Turin - Department of Mathematics, Italy
5 March 2024
Title: How to construct all families of product-quotient surfaces of general type from a pair of topological types of G-coverings of the projective line: theory and applications.
Politecnico di Milano - Department of Mathematics, Italy
5 October 2023
Title: From a database of G-coverings of the projective line to a database of families of product-quotient surfaces.
University of Pavia, Italy
3 October 2023 - 4 October 2023
Title: Counting families of product-quotient surfaces arising from a pair of topological types of G-coverings of the projective line.
University of Bayreuth, Germany
21 July 2022
Title: Examples of surfaces with canonical map of degree 4.
University of Bayreuth, Germany
26 October 2021
Title: On the degree of the canonical map of a Product-Quotient surface.
University of Trento, Italy
8 June 2020
Title: Teorema del Cono di Mori e MMP per superfici - On the Mori Cone Theorem and the MMP for surfaces.
University of Trento, Italy
7 November 2018
Title: About Ultrafilters and Tychonoff Theorem.
University of L'Aquila, Italy
25 March 2017
Title: Brachistocrona - Brachistochrone.