Jun 2024 Riemannian holonomy groups, Sapienza
Jan-Feb 2023 Calibrated submanifolds, LTCC
Jan-Feb 2022 Riemannian holonomy groups, LTCC
Oct-Nov 2020 Introduction to Differential Geometry, LTCC
Feb-Mar 2020 Riemannian holonomy groups, LTCC
Jan-Mar 2019 Manifolds, SMSTC
Jul-Aug 2014 Non-compact hyperkähler manifolds, USTC, Hefei
Notes and exercises for lectures on Einstein manifolds, Complex and Kähler manifolds, Gauge theory for the LSGNT.
Further notes for expository talks: Harmonic maps from surfaces to homogeneous reductive spaces (Poisson geometry reading group, Riemann Center, Hannover, 2015), Desingularisation of nodal Calabi-Yau 3-folds (Gluing techniques in complex geometry, Bath, 2015), Einstein metrics on spheres (Reading Seminar in Geometric Analysis, Stony Brook, 2014), The Ooguri-Vafa metric (Junior Geometry Seminar, Imperial College London, 2010).
*I apologise for the typos/mistakes contained in these notes!
I am a Fellow of the Higher Education Academy since July 2021.
*Informazioni per studenti di Sapienza sono disponibili sulla mia bacheca*
2024-2025 Algebra Lineare (Statistica), Analisi I corso (Statistica), mathematics tutorials for Sapienza students currently detained in prison (PUP-Sapienza)
2023-2024 Algebra Lineare (Statistica), Analisi I corso (Statistica), Simmetrie di forme multi-lineari, algebre di divisione normate e calibrazioni (Percorso di Eccellenza Laurea Triennale in Matematica)
2018-2019 Geometry (at Heriot-Watt University)
At Stony Brook:
2016-2017 Calculus II, Introduction to Linear Algebra, Analysis II
2014-2015 Multivariable Calculus with Linear Algebra, Differential Equations with Linear Algebra
2013-2014 Calculus II, Mathematical Thinking, Calculus C
Since 2018 I supervised final projects for Lauree Triennali (2 at Sapienza), MMath degrees (2 at UCL, 1 at Heriot-Watt), MSc degrees (1 at Heriot-Watt) BSc degrees (3 at Heriot-Watt).