CV

2020- Present: Phd Student in Mathematics, University of Padova, Padova, Italy. 

2016-2020: Master student in Pure Mathematics,University of Pisa,  Pisa, Italy. Thesis: Le coordinate di Plucker per la Grassmanniana affine. Advisor: Professor Andrea Maffei. 110/110 cum laude, 13/03/2020.

2013-2016: Bachelor student in Pure Mathematics, University of Salento, Lecce, Italy. Thesis: Le rappresentazioni del gruppo lineare in caratteristica finita. Advisor: Rocco Chirivì. 110/110 cum laude. 22/07/2016

October 2023-Present:  Part-time tutor - School of Science at Padova University for the course "Algebra 1" of Prof. G. Carnovale for the bachelor degree in Mathematics at University of Padova.

May 2023: Progetto Lauree Scientifiche - Università del Salento

October 2022- January 2023: Part-time tutor - School of Science at Padova University for the course "Algebra 1" of Prof. G. Carnovale for the bachelor degree in Mathematics at University of Padova.

March 2022: I joined the project ”Circoli Matematici”, in a lesson with students 11-13 years old on modular arithmetic.

March 2022: Progetto Lauree Scientifiche - Università del Salento

October- December 2021: Part-time tutor - School of Science at Padova University for the course "Geometria" of Prof. C. Bertolin and R. Klostermann for the bachelor degree in Astronomy and the bachelor degree in Physics at University of Padova.

January-May 2021: Part-time tutor - Department of Computer Science of the class of "Discrete mathematics and linear algebra"

January-June19}: Part-time tutor - Department of Computer Science of the class of "Discrete mathematics and linear algebra"

27/08-1/09/2023: "Geometric Representation Theory and W-algebras", ICMS, Edinburgh, UK

24-29/07/2023: "Algebraic groups and their representations, an LMS research school", University of Birmingham, UK

20-24/2/2023: "Winter School Geometry, Algebra and Combinatorics of Moduli Spaces and Configurations V, Dobbiaco (Toblach)", Italy

23-27/5/2022: "Conference 100 UMI-800 UniPd", Padova, Italy

6-10/9/2021: "Young Algebraists’ Conference 2021", Losanne, Switzerland

24-28/2/2020: "Winter School Geometry, Algebra and Combinatorics of Moduli Spaces and Configurations IV, Dobbiaco (Toblach)"

16-19/9/2019: "Representation theory in Venice. A conference in honour of Corrado De Concini", Venezia, Italy

Work on Seshadri stratification and standard monomial theory for Matrix Schubert Varieties: I was visiting University of Cologne. I studied, under the supervision of Prof. P. Littelmann, how to apply the theory of Seshadri stratification and standard monomial theory to the case of Matrix Schubert varieties. The notion of Seshadry stratification on embedded projective varieties, developed by R. Chirivì, X. Fang and P.Littelman, provides the construction of a Newton-Okounkov simplicial complex and a flat degeneration of the projective variety into a union of toric varieties. Furthermore this theory provides a geometric setup for a standard monomial theory. My research project is to apply the theory of Seshadri stratification to Matrix Schubert varieties, namely sets of rectangular matrices satisfying certain constraints on the ranks of their submatrices. 

Work on Lusztig strata on disconnected group: I'm studying the strata of an algebraic group defined by G. Lusztig in 2020 in the paper "Strata of a disconnected reductive group". Let $G$ be an algebraic group, the strata form a partition for $G$, defined as the preimage of a map associating to elements of $G$ an irreducible representation of the Weyl group of $G$. I focused on the case of a not connected algebraic group. In particular I'm studying Jordan classes in a non-connected algebraic group $G$. Jordan classes are a partition of $G$ in equivalence classes. Lusztig strata are union of finitely many Jordan classes, so the last turned out to be important to understand the geometrical behavior of Lusztig strata.

Work on spherical unipotent conjugacy classes: In collaboration with Prof. Mauro Costantini, I studied the classification of spherical unipotent conjugacy classes in a disconnected algebraic group.