Research

Themes

• Geometric theory of holomorphic maps, holomorphic dynamics, complex domains, CR-manifolds

• Complex vs. symplectic and G_2 geometry

• Almost complex structures, special metrics and cohomologies of complex manifolds

• Low dimensional manifolds, symplectic fillings

• Harmonic Maps and Integrable Systems

• Geometry of PDEs

• Geometric Analysis

Papers

• Rashid Alawadhi, Daniele Angella, Andrea Leonardo, Tancredi Schettini Gherardini, Constructing and Machine Learning Calabi-Yau Five-folds, Fortschr. Phys. 72 (2024), no. 2, 2300262 (arXiv:2310.15966).

• Riccardo Ghiloni, Caterina Stoppato, Quaternionic slice regularity beyond slice domains, Math. Z. 306 (2024), p. 1-42, doi: 10.1007/s00209-024-03434-7. (arXiv:2312.13982)*

• Riccardo Ghiloni, Caterina Stoppato, A unified notion of regularity in one hypercomplex variable, (2023), p. 1-16, doi: 10.48550/arXiv.2309.02891 (arXiv:2309.02891)*

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