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).*

• D. Alpay,  F. Colombo, A.  De Martino,  K.  Diki,  I. Sabadini, Irene, On axially rational regular functions and Schur analysis in the Clifford-Appell setting, Anal. Math. Phys. 14 (2024), no. 3, Paper No. 41, 59 pp.

• Daniele Angella, Marco Miceli, Giovanni Placini, Approximation results for compact Vaisman manifolds (arXiv:2408.01182).*

• Daniele Angella, Hermitian metrics on complex non-Kähler manifolds (arXiv:2503.16936).*

• L. Arosio, F. Bracci, H. Gaussier, A counterexample to parabolic dichotomies in holomorphic iteration, J. Geom. Anal., (2024) 34:153 https://doi.org/10.1007/s12220-024-01606-9

• L. Beaufort, A. Fino, Locally conformal SKT almost abelian Lie algebras, Linear Alg. Appl. 684 (2024), 1-22.

•  F. Bracci, H. Gaussier, A. Zimmer, The geometry of domains with negatively pinched Kähler metrics, J. Differential Geom., Vol. 126, No. 3 (2024), 909-938

• F. Bracci, L. Kosi´nski, W. Zwonek, Holomorphic maps acting as Kobayashi isometries on a family of geodesics, Math. Z. (2024) 308:20 https://doi.org/10.1007/s00209-024-03569-7 

•  F. Bracci, D. Kraus, O. Roth, The strong form of the Ahlfors–Schwarz lemma at the boundary, Israel J. Math., in stampa 

•  F. Bracci, E. A. Gallardo-Gutiérrez, D. Yakubovich, Complete frequencies for Koenigs domains, ArXiv 2311.17470

• B. Brienza, A. Fino, Generalized Kähler manifolds via mapping tori, , preprint math.DG/2305.11075, to appear in J. Sympl. Geom.

• B. Brienza, A. Fino,  SKT solvable Lie algebras with codimension two nilradical,  Math. Nachr. 297 (2024), no. 12, 4705–4729.

• B. Brienza, A. Fino, G. Grantcharov, CYT and SKT manifolds with parallel Bismut torsion, Proc. Roy. Soc. Edinburgh Sect. A. 152 (2024), Issue 5,  2199 - 22041. 

• P. Cerejeiras,  F.  Colombo,  A. Debernardi Pinos,  U.  Kähler,  I.  Sabadini,  Nuclearity and Grothendieck-Lidskii formula for quaternionic operators,

Adv. Math. 442 (2024), Paper No. 109558, 51 pp.

• F. Colombo,  R. S.  Krausshar,  I. Sabadini, Octonionic monogenic and slice monogenic Hardy and Bergman spaces, Forum Math. 36 (2024), no. 4, 1031–1052.

• F. Colombo,  R. S.  Krausshar, S. Rolf , S. Pinton,  I. Sabadini, Entire monogenic functions of given proximate order and continuous homomorphisms,

• Mediterr. J. Math. 21 (2024), no. 2, Paper No. 44, 28 pp.

• F. Colombo,  I.  Sabadini,  D.C.  Struppa,  A.  Yger,  Analyticity and supershift with irregular sampling,  Complex Anal. Synerg. 10 (2024), no. 2, Paper No. 10, 13 pp.

• M. Fernandez, A. Fino, A. Kovalev, V. Munoz, On nearly parallel G_2-manifolds: formality and associative submanifolds, Math. Res. Lett. 31 (2024), no. 5, 1391–1434.

• A. Fino, G. Grantcharov, The Pluriclosed Flow for T2-Invariant  Vaisman Metrics on the Kodaira-Thurston Surface,  J. Geom. Phys. 201 (2024), Paper No. 105197, 10 pp.

• A. Fino, G. Grantcharov, G. Russo, On the $\nu$-invariant of two-step nilmanifolds with closed $G_2$-structure, preprint math.DG/2409.06870.

• A. Fino, G. Grantcharov, M. Verbitsky,  Special Hermitian structures obtained from hyperbolic suspensions, Math. Ann. 392 (2025), no. 1, 1099--1118.

• A. Fino, T. Leistner, A. Taghavi-Chabert,  Optical geometries, Ann. Sc. Norm. Super. Pisa Cl. Sci. 26 (2025), no. 1, 341--396.

• A. Fino, A. Mainenti, A note on p-Kähler structures   on compact quotients of Lie groups, Ann. Mat. Pura Appl.(4) (5) (2024), 2111–2124.

• A. Fino, A. Mainenti, On the existence of balanced metrics of Hodge-Riemann type, preprint math.DG/2408.14377.

• A. Fino, L. Martin-Merchan, A. Raffero, The twisted G2 equation for strong G2-structures with torsion, Pure Appl. Math. Q. 20 (2024),  2711-2767.

• A. Fino,  F. Paradiso, Hermitian Structures on six-dimensional almost nilpotent solvmanifolds, Math. Z. 310 (2025), no. 2, Paper No. 27.

• A. Fino, A. Raffero, On the existence of homogeneous solitons of gradient type for the G_2-Laplacian flow, Proc. Amer. Math. Soc.152 (2024), 2199-2204.

• S. Gal,  I.  Sabadini,  Density of complex and quaternionic polyanalytic polynomials in polyanalytic Fock spaces, Complex Anal. Oper. Theory 18 (2024), no. 1, Paper No. 8, 21 pp.

• 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, J. Geom. Phys. 202 (2024), p. 1-13, doi: 10.1016/j.geomphys.2024.105219 (arXiv:2309.02891)*

• Riccardo Ghiloni, Caterina Stoppato, A unified theory of regular functions of a hypercomplex variable, (2024), (arXiv:2408.01523).*

• J. O. González-Cervantes,  J. Bory-Reyes,  I.  Sabadini,  Fractional slice regular functions of a quaternionic variable,  Results Math. 79 (2024), no. 1, Paper No. 32, 21 pp.

• Steven G. Krantz, Marco M. Peloso, Caterina Stoppato, On a higher-dimensional worm domain and its geometric properties, (2024), (arXiv:2406.04905).

•  T. Pacini, Pluri-potential theory, submersions and calibrations, J. Geom. Anal. 34 (2024), no. 6, Paper No. 157, 28 pp.

• T. Pacini,  A. Raffero, Variation formulae for the volume of coassociative submanifolds, Ann. Global Anal. Geom. 65 (2024), no. 3, Paper No. 24, 27 pp.

• F. Podestà,  A. Raffero,  Infinite families of homogeneous Bismut Ricci flat manifolds,  Commun. Contemp. Math. 26 (2024), no. 2, Paper No. 2250075, 17 pp.

• F. Podestà,  A. Raffero,  Three-dimensional positively curved generalized Ricci solitons with SO(3)-symmetries, preprint arXiv:2401.05028.

• Z. Xu,  I. Sabadini, Generalized partial-slice monogenic functions: a synthesis of two function theories, Adv. Appl. Clifford Algebr. 34 (2024), no. 2, Paper No. 10, 14 pp.